(*^
::[ Information =
"This is a Mathematica Notebook file. It contains ASCII text, and can be
transferred by email, ftp, or other text-file transfer utility. It should
be read or edited using a copy of Mathematica or MathReader. If you
received this as email, use your mail application or copy/paste to save
everything from the line containing (*^ down to the line containing ^*)
into a plain text file. On some systems you may have to give the file a
name ending with ".ma" to allow Mathematica to recognize it as a Notebook.
The line below identifies what version of Mathematica created this file,
but it can be opened using any other version as well.";
FrontEndVersion = "Macintosh Mathematica Notebook Front End Version 2.2";
MacintoshStandardFontEncoding;
fontset = title, inactive, noPageBreakBelow, nohscroll, preserveAspect, cellOutline, groupLikeTitle, center, M18, O486, R65535, e8, 20, "CalcMath";
fontset = subtitle, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeTitle, center, M18, O486, bold, R21845, G21845, B21845, e6, 20, "CalcMath";
fontset = subsubtitle, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeTitle, center, M18, O486, R21845, G21845, B21845, e6, 20, "CalcMath";
fontset = section, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeSection, grayBox, M18, O486, bold, R21845, G21845, B21845, a10, 20, "CalcMath";
fontset = subsection, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeSection, blackBox, M18, O486, bold, R21845, G21845, B21845, a10, 20, "CalcMath";
fontset = subsubsection, inactive, noPageBreakBelow, nohscroll, preserveAspect, groupLikeSection, whiteBox, M18, O486, bold, R21845, G21845, B21845, a10, 20, "CalcMath";
fontset = text, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M18, O486, 20, "CalcMath";
fontset = smalltext, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M18, O486, B65535, 20, "CalcMath";
fontset = input, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeInput, M36, N23, O486, bold, L-5, 20, "Courier";
fontset = output, output, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M36, N23, O486, L-5, 20, "Courier";
fontset = message, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M18, N23, O486, R65535, L-5, 20, "Courier";
fontset = print, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M18, N23, O486, L-5, 20, "Courier";
fontset = info, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeOutput, M18, N23, O486, B65535, L-5, 20, "Courier";
fontset = postscript, PostScript, formatAsPostScript, output, inactive, noPageBreakInGroup, nowordwrap, preserveAspect, groupLikeGraphics, M18, O486, l34, w351, h314, 12, "Courier";
fontset = name, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M18, O486, italic, 10, "Geneva";
fontset = header, inactive, noKeepOnOnePage, preserveAspect, M18, O486, 12, "Times";
fontset = leftheader, inactive, M18, O486, L2, 12, "Times";
fontset = footer, inactive, noKeepOnOnePage, preserveAspect, center, M18, O486, 12, "Times";
fontset = leftfooter, inactive, M18, O486, L2, 12, "Times";
fontset = help, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M18, O486, 10, "Times";
fontset = clipboard, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M18, O486, 12, "Times";
fontset = completions, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M18, O486, 12, "Times";
fontset = special1, inactive, nohscroll, noKeepOnOnePage, preserveAspect, whiteBox, M18, O486, bold, R21845, G21845, B21845, 12, "CalcMath";
fontset = special2, inactive, nohscroll, noKeepOnOnePage, preserveAspect, center, M18, O486, R21845, G21845, B21845, 12, "CalcMath";
fontset = special3, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M18, O486, 12, "Times";
fontset = special4, inactive, nohscroll, noKeepOnOnePage, preserveAspect, center, M18, O486, 10, "Courier";
fontset = special5, inactive, nohscroll, noKeepOnOnePage, preserveAspect, M18, O486, 10, "Courier";
paletteColors = 256; currentKernel;
]
:[font = title; inactive; preserveAspect]
Mathematica MINI-PROJECT
Rotation of an Equilateral Triangle
by Sandy Emerick
;[s]
3:0,1;11,0;63,2;82,-1;
3:1,34,24,CalcMath,0,20,65535,0,0;1,34,24,CalcMath,2,20,65535,0,0;1,35,24,CalcMath,1,20,21845,21845,21845;
:[font = section; inactive; preserveAspect; startGroup]
Introduction
:[font = section; inactive; preserveAspect; endGroup]
In geometry, we often have difficulty visualizing the geometric figure that is the result of a rotation about a line. Our purpose here is to pose
questions, make conjectures, and then utilize the software called Mathematica to verify our
conjectures. The next step will be to make calculations concerning the figure produced. For example, we might want to calculate the volume of the figure.
;[s]
3:0,0;214,1;225,0;397,-1;
2:2,35,24,CalcMath,1,20,21845,21845,21845;1,37,26,CalcMath,3,20,21845,21845,21845;
:[font = section; inactive; preserveAspect; startGroup]
Lesson 1 Rotation about an altitude
:[font = section; inactive; preserveAspect; endGroup]
The first problem we want to consider is the rotation of an equilateral triangle about one of its altitudes. Can you visualize the figure you will get when you rotate the equilateral triangle about one of its altitudes? A good starting place, is to cut a "triangle" out of paper and rotate it about one of its altitudes. Does this give you any good ideas about the resulting figure of this procedure?
Can you name this figure?
Be brave. Take a guess.
Write a paragraph describing your process for finding your result.
If you want to see the figure that this rotation produces, proceed with this program.
Thanks to Alan and Thea in the Calculus and Mathematica lab at the University of Illinois, we can now see the result of this rotation through the graphing capabilities of the wonderful software called Mathematica.
;[s]
5:0,0;662,1;673,0;820,1;831,0;833,-1;
2:3,35,24,CalcMath,1,20,21845,21845,21845;2,37,26,CalcMath,3,20,21845,21845,21845;
:[font = text; inactive; preserveAspect; fontSize = 10; startGroup]
Initialization Cells
:[font = input; initialization; preserveAspect; endGroup]
*)
Needs["Graphics`Colors`"];
Needs["Geometry`Rotations`"];
equil[radius_] =
{{-radius Sqrt[3]/2,0,0},
{ radius Sqrt[3]/2,0,0},
{0,0,3/2 radius }};
rotateZ[{p1_,p2_,p3_},t_] :=
{Rotate3D[p1,t,0,0,{0,0,0}],
Rotate3D[p2,t,0,0,{0,0,0}],
p3};
rotateX[{p1_,p2_,p3_},t_]:=
{p1,p2,Rotate3D[p3,0,t,0]}
plotTri[x_] := Graphics3D[Polygon[x]];
triangle1 = equil[1];
triangle1plot = plotTri[triangle1];
(*
:[font = subsection; inactive; locked; preserveAspect; startGroup]
Our first frame
:[font = input; locked; preserveAspect; startGroup]
Show[triangle1plot,
ViewPoint->{0.051, -3.100, 1.356},
PlotRange->{{-2,2},{-2,2},{-2,2}}];
:[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 293; pictureHeight = 314; endGroup]
%!
%%Creator: Mathematica
%%AspectRatio: 1.06876
MathPictureStart
%% Graphics3D
/Courier findfont 10 scalefont setfont
% Scaling calculations
-0.0403087 1.09356 0.0273389 1.09356 [
[ 0 0 0 0 ]
[ 1 1.06876 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
[ ] 0 setdash
0 g
0 0 m
1 0 L
1 1.06876 L
0 1.06876 L
closepath
clip
newpath
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
.19359 .41219 m
.0886 .03539 L
s
.91276 .02734 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
.19359 .41219 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
P
p
.002 w
.34177 .5752 m .67148 .57303 L .50647 .84792 L closepath p
.698 .496 .611 r
F P
s
P
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
P
p
P
% End of Graphics
MathPictureEnd
:[font = text; inactive; preserveAspect; endGroup]
This is simply our original equilateral triangle. If you would like to see the next step in the process continue to the next frame. To continue: move the mouse to the arrow at the bottom of
the outside box to the right, click to scroll
downward until you reach the next screen.
:[font = subsection; inactive; locked; preserveAspect; startGroup]
Two frames together
:[font = input; locked; preserveAspect; startGroup]
triangle2 = rotateZ[triangle1,Pi/6];
triangle2plot = plotTri[triangle2];
Show[triangle1plot,triangle2plot,
ViewPoint->{0.051, -3.100, 1.356},
PlotRange->{{-2,2},{-2,2},{-2,2}}];
:[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 293; pictureHeight = 314; endGroup]
%!
%%Creator: Mathematica
%%AspectRatio: 1.06876
MathPictureStart
%% Graphics3D
/Courier findfont 10 scalefont setfont
% Scaling calculations
-0.0403087 1.09356 0.0273389 1.09356 [
[ 0 0 0 0 ]
[ 1 1.06876 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
[ ] 0 setdash
0 g
0 0 m
1 0 L
1 1.06876 L
0 1.06876 L
closepath
clip
newpath
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
.19359 .41219 m
.0886 .03539 L
s
.91276 .02734 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
.19359 .41219 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
P
p
.002 w
.50647 .84792 m .3692 .60709 L .50647 .57412 L p
.556 .381 .6 r
F P
s
P
p
.002 w
.50647 .84792 m .34177 .5752 L .50647 .57412 L p
.698 .496 .611 r
F P
s
P
p
.002 w
.50647 .57412 m .67148 .57303 L .50647 .84792 L p
.698 .496 .611 r
F P
s
P
p
.002 w
.50647 .57412 m .65228 .53909 L .50647 .84792 L p
.556 .381 .6 r
F P
s
P
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
P
p
P
% End of Graphics
MathPictureEnd
:[font = text; inactive; preserveAspect; endGroup]
Does this first stage of the process give you any new clues?
Does your prediction agree with this first stage?
Let's continue with the development of the figure.
:[font = subsection; inactive; locked; preserveAspect; startGroup]
Progression showing frames individually
:[font = input; locked; preserveAspect; startGroup]
Table[
Show[plotTri[rotateZ[triangle1,theta]],
ViewPoint->{0.051, -3.100, 1.356},
PlotRange->{{-2,2},{-2,2},{-2,2}}],
{theta,0,11/12 Pi,Pi/12}];
:[font = postscript; PostScript; formatAsPostScript; output; inactive; Cclosed; preserveAspect; pictureLeft = 34; pictureWidth = 293; pictureHeight = 314; startGroup; animationSpeed = 12]
%!
%%Creator: Mathematica
%%AspectRatio: 1.06876
MathPictureStart
%% Graphics3D
/Courier findfont 10 scalefont setfont
% Scaling calculations
-0.0403087 1.09356 0.0273389 1.09356 [
[ 0 0 0 0 ]
[ 1 1.06876 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
[ ] 0 setdash
0 g
0 0 m
1 0 L
1 1.06876 L
0 1.06876 L
closepath
clip
newpath
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
.19359 .41219 m
.0886 .03539 L
s
.91276 .02734 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
.19359 .41219 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
P
p
.002 w
.34177 .5752 m .67148 .57303 L .50647 .84792 L closepath p
.698 .496 .611 r
F P
s
P
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
P
p
P
% End of Graphics
MathPictureEnd
:[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 293; pictureHeight = 314; animationSpeed = 12]
%!
%%Creator: Mathematica
%%AspectRatio: 1.06876
MathPictureStart
%% Graphics3D
/Courier findfont 10 scalefont setfont
% Scaling calculations
-0.0403087 1.09356 0.0273389 1.09356 [
[ 0 0 0 0 ]
[ 1 1.06876 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
[ ] 0 setdash
0 g
0 0 m
1 0 L
1 1.06876 L
0 1.06876 L
closepath
clip
newpath
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
.19359 .41219 m
.0886 .03539 L
s
.91276 .02734 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
.19359 .41219 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
P
p
.002 w
.35045 .59198 m .6676 .55567 L .50647 .84792 L closepath p
.634 .444 .608 r
F P
s
P
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
P
p
P
% End of Graphics
MathPictureEnd
:[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 293; pictureHeight = 314; animationSpeed = 12]
%!
%%Creator: Mathematica
%%AspectRatio: 1.06876
MathPictureStart
%% Graphics3D
/Courier findfont 10 scalefont setfont
% Scaling calculations
-0.0403087 1.09356 0.0273389 1.09356 [
[ 0 0 0 0 ]
[ 1 1.06876 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
[ ] 0 setdash
0 g
0 0 m
1 0 L
1 1.06876 L
0 1.06876 L
closepath
clip
newpath
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
.19359 .41219 m
.0886 .03539 L
s
.91276 .02734 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
.19359 .41219 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
P
p
.002 w
.3692 .60709 m .65228 .53909 L .50647 .84792 L closepath p
.556 .381 .6 r
F P
s
P
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
P
p
P
% End of Graphics
MathPictureEnd
:[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 293; pictureHeight = 314; animationSpeed = 12]
%!
%%Creator: Mathematica
%%AspectRatio: 1.06876
MathPictureStart
%% Graphics3D
/Courier findfont 10 scalefont setfont
% Scaling calculations
-0.0403087 1.09356 0.0273389 1.09356 [
[ 0 0 0 0 ]
[ 1 1.06876 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
[ ] 0 setdash
0 g
0 0 m
1 0 L
1 1.06876 L
0 1.06876 L
closepath
clip
newpath
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
.19359 .41219 m
.0886 .03539 L
s
.91276 .02734 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
.19359 .41219 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
P
p
.002 w
.39645 .61968 m .62616 .52455 L .50647 .84792 L closepath p
.444 .292 .58 r
F P
s
P
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
P
p
P
% End of Graphics
MathPictureEnd
:[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 293; pictureHeight = 314; animationSpeed = 12]
%!
%%Creator: Mathematica
%%AspectRatio: 1.06876
MathPictureStart
%% Graphics3D
/Courier findfont 10 scalefont setfont
% Scaling calculations
-0.0403087 1.09356 0.0273389 1.09356 [
[ 0 0 0 0 ]
[ 1 1.06876 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
[ ] 0 setdash
0 g
0 0 m
1 0 L
1 1.06876 L
0 1.06876 L
closepath
clip
newpath
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
.19359 .41219 m
.0886 .03539 L
s
.91276 .02734 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
.19359 .41219 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
P
p
.002 w
.43029 .62905 m .59087 .51325 L .50647 .84792 L closepath p
.255 .144 .529 r
F P
s
P
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
P
p
P
% End of Graphics
MathPictureEnd
:[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 293; pictureHeight = 314; animationSpeed = 12]
%!
%%Creator: Mathematica
%%AspectRatio: 1.06876
MathPictureStart
%% Graphics3D
/Courier findfont 10 scalefont setfont
% Scaling calculations
-0.0403087 1.09356 0.0273389 1.09356 [
[ 0 0 0 0 ]
[ 1 1.06876 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
[ ] 0 setdash
0 g
0 0 m
1 0 L
1 1.06876 L
0 1.06876 L
closepath
clip
newpath
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
.19359 .41219 m
.0886 .03539 L
s
.91276 .02734 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
.19359 .41219 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
P
p
.002 w
.46858 .63476 m .54893 .50616 L .50647 .84792 L closepath p
0 0 .376 r
F P
s
P
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
P
p
P
% End of Graphics
MathPictureEnd
:[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 293; pictureHeight = 314; animationSpeed = 12]
%!
%%Creator: Mathematica
%%AspectRatio: 1.06876
MathPictureStart
%% Graphics3D
/Courier findfont 10 scalefont setfont
% Scaling calculations
-0.0403087 1.09356 0.0273389 1.09356 [
[ 0 0 0 0 ]
[ 1 1.06876 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
[ ] 0 setdash
0 g
0 0 m
1 0 L
1 1.06876 L
0 1.06876 L
closepath
clip
newpath
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
.19359 .41219 m
.0886 .03539 L
s
.91276 .02734 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
.19359 .41219 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
P
p
.002 w
.50903 .63652 m .50359 .50395 L .50647 .84792 L closepath p
.742 .602 .031 r
F P
s
P
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
P
p
P
% End of Graphics
MathPictureEnd
:[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 293; pictureHeight = 314; animationSpeed = 12]
%!
%%Creator: Mathematica
%%AspectRatio: 1.06876
MathPictureStart
%% Graphics3D
/Courier findfont 10 scalefont setfont
% Scaling calculations
-0.0403087 1.09356 0.0273389 1.09356 [
[ 0 0 0 0 ]
[ 1 1.06876 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
[ ] 0 setdash
0 g
0 0 m
1 0 L
1 1.06876 L
0 1.06876 L
closepath
clip
newpath
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
.19359 .41219 m
.0886 .03539 L
s
.91276 .02734 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
.19359 .41219 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
P
p
.002 w
.54934 .63425 m .45848 .5068 L .50647 .84792 L closepath p
.995 .763 .407 r
F P
s
P
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
P
p
P
% End of Graphics
MathPictureEnd
:[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 293; pictureHeight = 314; animationSpeed = 12]
%!
%%Creator: Mathematica
%%AspectRatio: 1.06876
MathPictureStart
%% Graphics3D
/Courier findfont 10 scalefont setfont
% Scaling calculations
-0.0403087 1.09356 0.0273389 1.09356 [
[ 0 0 0 0 ]
[ 1 1.06876 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
[ ] 0 setdash
0 g
0 0 m
1 0 L
1 1.06876 L
0 1.06876 L
closepath
clip
newpath
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
.19359 .41219 m
.0886 .03539 L
s
.91276 .02734 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
.19359 .41219 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
P
p
.002 w
.58719 .62807 m .41721 .51445 L .50647 .84792 L closepath p
.952 .712 .539 r
F P
s
P
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
P
p
P
% End of Graphics
MathPictureEnd
:[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 293; pictureHeight = 314; animationSpeed = 12]
%!
%%Creator: Mathematica
%%AspectRatio: 1.06876
MathPictureStart
%% Graphics3D
/Courier findfont 10 scalefont setfont
% Scaling calculations
-0.0403087 1.09356 0.0273389 1.09356 [
[ 0 0 0 0 ]
[ 1 1.06876 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
[ ] 0 setdash
0 g
0 0 m
1 0 L
1 1.06876 L
0 1.06876 L
closepath
clip
newpath
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
.19359 .41219 m
.0886 .03539 L
s
.91276 .02734 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
.19359 .41219 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
P
p
.002 w
.62032 .61826 m .38295 .52622 L .50647 .84792 L closepath p
.879 .647 .583 r
F P
s
P
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
P
p
P
% End of Graphics
MathPictureEnd
:[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 293; pictureHeight = 314; animationSpeed = 12]
%!
%%Creator: Mathematica
%%AspectRatio: 1.06876
MathPictureStart
%% Graphics3D
/Courier findfont 10 scalefont setfont
% Scaling calculations
-0.0403087 1.09356 0.0273389 1.09356 [
[ 0 0 0 0 ]
[ 1 1.06876 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
[ ] 0 setdash
0 g
0 0 m
1 0 L
1 1.06876 L
0 1.06876 L
closepath
clip
newpath
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
.19359 .41219 m
.0886 .03539 L
s
.91276 .02734 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
.19359 .41219 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
P
p
.002 w
.6466 .60532 m .35812 .54109 L .50647 .84792 L closepath p
.814 .592 .601 r
F P
s
P
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
P
p
P
% End of Graphics
MathPictureEnd
:[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 293; pictureHeight = 314; endGroup; endGroup; animationSpeed = 12]
%!
%%Creator: Mathematica
%%AspectRatio: 1.06876
MathPictureStart
%% Graphics3D
/Courier findfont 10 scalefont setfont
% Scaling calculations
-0.0403087 1.09356 0.0273389 1.09356 [
[ 0 0 0 0 ]
[ 1 1.06876 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
[ ] 0 setdash
0 g
0 0 m
1 0 L
1 1.06876 L
0 1.06876 L
closepath
clip
newpath
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
.19359 .41219 m
.0886 .03539 L
s
.91276 .02734 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
.19359 .41219 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
P
p
.002 w
.66416 .58994 m .34422 .55784 L .50647 .84792 L closepath p
.755 .543 .609 r
F P
s
P
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
P
p
P
% End of Graphics
MathPictureEnd
:[font = text; inactive; preserveAspect; animationSpeed = 120]
To see these frames in sequence, hold down on the open apple key and then type y
:[font = text; inactive; locked; preserveAspect; endGroup; animationSpeed = 120]
One frame at a time does not seem to give you too many clues. If the frames are shown
together on one screen, you can get a better idea of the process. To see these frames in an animated sequence, click on the box below the next frame, and then ,simultaneously hold downthe open apple key and the y key.
;[s]
3:0,0;213,1;219,0;304,-1;
2:2,34,24,CalcMath,0,20,0,0,0;1,35,24,CalcMath,5,20,0,0,0;
:[font = subsection; inactive; locked; preserveAspect; startGroup]
Progression showing frames together
:[font = input; preserveAspect; startGroup]
Clear[list,theta]
list = {};
Do[AppendTo[list,plotTri
[rotateZ[triangle1,theta]]];
Show[list,
ViewPoint->{0.051, -3.100, 1.356},
PlotRange->{{-2,2},{-2,2},{-2,2}}],
{theta,0,11/12 Pi,Pi/12}];
:[font = postscript; PostScript; formatAsPostScript; output; inactive; Cclosed; preserveAspect; pictureLeft = 34; pictureWidth = 293; pictureHeight = 314; startGroup; animationSpeed = 12]
%!
%%Creator: Mathematica
%%AspectRatio: 1.06876
MathPictureStart
%% Graphics3D
/Courier findfont 10 scalefont setfont
% Scaling calculations
-0.0403087 1.09356 0.0273389 1.09356 [
[ 0 0 0 0 ]
[ 1 1.06876 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
[ ] 0 setdash
0 g
0 0 m
1 0 L
1 1.06876 L
0 1.06876 L
closepath
clip
newpath
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
.19359 .41219 m
.0886 .03539 L
s
.91276 .02734 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
.19359 .41219 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
P
p
.002 w
.34177 .5752 m .67148 .57303 L .50647 .84792 L closepath p
.698 .496 .611 r
F P
s
P
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
P
p
P
% End of Graphics
MathPictureEnd
:[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 293; pictureHeight = 314; animationSpeed = 12]
%!
%%Creator: Mathematica
%%AspectRatio: 1.06876
MathPictureStart
%% Graphics3D
/Courier findfont 10 scalefont setfont
% Scaling calculations
-0.0403087 1.09356 0.0273389 1.09356 [
[ 0 0 0 0 ]
[ 1 1.06876 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
[ ] 0 setdash
0 g
0 0 m
1 0 L
1 1.06876 L
0 1.06876 L
closepath
clip
newpath
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
.19359 .41219 m
.0886 .03539 L
s
.91276 .02734 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
.19359 .41219 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
P
p
.002 w
.50647 .84792 m .35045 .59198 L .50647 .57412 L p
.634 .444 .608 r
F P
s
P
p
.002 w
.50647 .84792 m .34177 .5752 L .50647 .57412 L p
.698 .496 .611 r
F P
s
P
p
.002 w
.50647 .57412 m .67148 .57303 L .50647 .84792 L p
.698 .496 .611 r
F P
s
P
p
.002 w
.50647 .57412 m .6676 .55567 L .50647 .84792 L p
.634 .444 .608 r
F P
s
P
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
P
p
P
% End of Graphics
MathPictureEnd
:[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 293; pictureHeight = 314; animationSpeed = 12]
%!
%%Creator: Mathematica
%%AspectRatio: 1.06876
MathPictureStart
%% Graphics3D
/Courier findfont 10 scalefont setfont
% Scaling calculations
-0.0403087 1.09356 0.0273389 1.09356 [
[ 0 0 0 0 ]
[ 1 1.06876 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
[ ] 0 setdash
0 g
0 0 m
1 0 L
1 1.06876 L
0 1.06876 L
closepath
clip
newpath
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
.19359 .41219 m
.0886 .03539 L
s
.91276 .02734 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
.19359 .41219 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
P
p
.002 w
.50647 .84792 m .3692 .60709 L .50647 .57412 L p
.556 .381 .6 r
F P
s
P
p
.002 w
.50647 .84792 m .35045 .59198 L .50647 .57412 L p
.634 .444 .608 r
F P
s
P
p
.002 w
.34177 .5752 m .67148 .57303 L .50647 .84792 L closepath p
.698 .496 .611 r
F P
s
P
p
.002 w
.50647 .57412 m .6676 .55567 L .50647 .84792 L p
.634 .444 .608 r
F P
s
P
p
.002 w
.50647 .57412 m .65228 .53909 L .50647 .84792 L p
.556 .381 .6 r
F P
s
P
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
P
p
P
% End of Graphics
MathPictureEnd
:[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 293; pictureHeight = 314; animationSpeed = 12]
%!
%%Creator: Mathematica
%%AspectRatio: 1.06876
MathPictureStart
%% Graphics3D
/Courier findfont 10 scalefont setfont
% Scaling calculations
-0.0403087 1.09356 0.0273389 1.09356 [
[ 0 0 0 0 ]
[ 1 1.06876 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
[ ] 0 setdash
0 g
0 0 m
1 0 L
1 1.06876 L
0 1.06876 L
closepath
clip
newpath
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
.19359 .41219 m
.0886 .03539 L
s
.91276 .02734 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
.19359 .41219 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
P
p
.002 w
.50647 .84792 m .39645 .61968 L .50647 .57412 L p
.444 .292 .58 r
F P
s
P
p
.002 w
.50647 .84792 m .3692 .60709 L .50647 .57412 L p
.556 .381 .6 r
F P
s
P
p
.002 w
.50647 .84792 m .35045 .59198 L .50647 .57412 L p
.634 .444 .608 r
F P
s
P
p
.002 w
.50647 .57412 m .67148 .57303 L .50647 .84792 L p
.698 .496 .611 r
F P
s
P
p
.002 w
.50647 .57412 m .6676 .55567 L .50647 .84792 L p
.634 .444 .608 r
F P
s
P
p
.002 w
.50647 .84792 m .34177 .5752 L .50647 .57412 L p
.698 .496 .611 r
F P
s
P
p
.002 w
.50647 .57412 m .65228 .53909 L .50647 .84792 L p
.556 .381 .6 r
F P
s
P
p
.002 w
.50647 .57412 m .62616 .52455 L .50647 .84792 L p
.444 .292 .58 r
F P
s
P
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
P
p
P
% End of Graphics
MathPictureEnd
:[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 293; pictureHeight = 314; animationSpeed = 12]
%!
%%Creator: Mathematica
%%AspectRatio: 1.06876
MathPictureStart
%% Graphics3D
/Courier findfont 10 scalefont setfont
% Scaling calculations
-0.0403087 1.09356 0.0273389 1.09356 [
[ 0 0 0 0 ]
[ 1 1.06876 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
[ ] 0 setdash
0 g
0 0 m
1 0 L
1 1.06876 L
0 1.06876 L
closepath
clip
newpath
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
.19359 .41219 m
.0886 .03539 L
s
.91276 .02734 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
.19359 .41219 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
P
p
.002 w
.50647 .84792 m .43029 .62905 L .50647 .57412 L p
.255 .144 .529 r
F P
s
P
p
.002 w
.50647 .84792 m .39645 .61968 L .50647 .57412 L p
.444 .292 .58 r
F P
s
P
p
.002 w
.50647 .84792 m .3692 .60709 L .50647 .57412 L p
.556 .381 .6 r
F P
s
P
p
.002 w
.50647 .84792 m .35045 .59198 L .50647 .57412 L p
.634 .444 .608 r
F P
s
P
p
.002 w
.34177 .5752 m .67148 .57303 L .50647 .84792 L closepath p
.698 .496 .611 r
F P
s
P
p
.002 w
.50647 .57412 m .6676 .55567 L .50647 .84792 L p
.634 .444 .608 r
F P
s
P
p
.002 w
.50647 .57412 m .65228 .53909 L .50647 .84792 L p
.556 .381 .6 r
F P
s
P
p
.002 w
.50647 .57412 m .62616 .52455 L .50647 .84792 L p
.444 .292 .58 r
F P
s
P
p
.002 w
.50647 .57412 m .59087 .51325 L .50647 .84792 L p
.255 .144 .529 r
F P
s
P
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
P
p
P
% End of Graphics
MathPictureEnd
:[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 293; pictureHeight = 314; animationSpeed = 12]
%!
%%Creator: Mathematica
%%AspectRatio: 1.06876
MathPictureStart
%% Graphics3D
/Courier findfont 10 scalefont setfont
% Scaling calculations
-0.0403087 1.09356 0.0273389 1.09356 [
[ 0 0 0 0 ]
[ 1 1.06876 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
[ ] 0 setdash
0 g
0 0 m
1 0 L
1 1.06876 L
0 1.06876 L
closepath
clip
newpath
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
.19359 .41219 m
.0886 .03539 L
s
.91276 .02734 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
.19359 .41219 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
P
p
.002 w
.50647 .84792 m .46858 .63476 L .50647 .57412 L p
0 0 .376 r
F P
s
P
p
.002 w
.50647 .84792 m .43029 .62905 L .50647 .57412 L p
.255 .144 .529 r
F P
s
P
p
.002 w
.50647 .84792 m .39645 .61968 L .50647 .57412 L p
.444 .292 .58 r
F P
s
P
p
.002 w
.50647 .84792 m .3692 .60709 L .50647 .57412 L p
.556 .381 .6 r
F P
s
P
p
.002 w
.50647 .84792 m .35045 .59198 L .50647 .57412 L p
.634 .444 .608 r
F P
s
P
p
.002 w
.50647 .57412 m .67148 .57303 L .50647 .84792 L p
.698 .496 .611 r
F P
s
P
p
.002 w
.50647 .57412 m .6676 .55567 L .50647 .84792 L p
.634 .444 .608 r
F P
s
P
p
.002 w
.50647 .84792 m .34177 .5752 L .50647 .57412 L p
.698 .496 .611 r
F P
s
P
p
.002 w
.50647 .57412 m .65228 .53909 L .50647 .84792 L p
.556 .381 .6 r
F P
s
P
p
.002 w
.50647 .57412 m .62616 .52455 L .50647 .84792 L p
.444 .292 .58 r
F P
s
P
p
.002 w
.50647 .57412 m .59087 .51325 L .50647 .84792 L p
.255 .144 .529 r
F P
s
P
p
.002 w
.50647 .57412 m .54893 .50616 L .50647 .84792 L p
0 0 .376 r
F P
s
P
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
P
p
P
% End of Graphics
MathPictureEnd
:[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 293; pictureHeight = 314; animationSpeed = 12]
%!
%%Creator: Mathematica
%%AspectRatio: 1.06876
MathPictureStart
%% Graphics3D
/Courier findfont 10 scalefont setfont
% Scaling calculations
-0.0403087 1.09356 0.0273389 1.09356 [
[ 0 0 0 0 ]
[ 1 1.06876 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
[ ] 0 setdash
0 g
0 0 m
1 0 L
1 1.06876 L
0 1.06876 L
closepath
clip
newpath
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
.19359 .41219 m
.0886 .03539 L
s
.91276 .02734 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
.19359 .41219 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
P
p
.002 w
.50647 .84792 m .46858 .63476 L .50647 .57412 L p
0 0 .376 r
F P
s
P
p
.002 w
.50647 .84792 m .50903 .63652 L .50647 .57412 L p
.742 .602 .031 r
F P
s
P
p
.002 w
.50647 .84792 m .43029 .62905 L .50647 .57412 L p
.255 .144 .529 r
F P
s
P
p
.002 w
.50647 .84792 m .39645 .61968 L .50647 .57412 L p
.444 .292 .58 r
F P
s
P
p
.002 w
.50647 .84792 m .3692 .60709 L .50647 .57412 L p
.556 .381 .6 r
F P
s
P
p
.002 w
.50647 .84792 m .35045 .59198 L .50647 .57412 L p
.634 .444 .608 r
F P
s
P
p
.002 w
.34177 .5752 m .67148 .57303 L .50647 .84792 L closepath p
.698 .496 .611 r
F P
s
P
p
.002 w
.50647 .57412 m .6676 .55567 L .50647 .84792 L p
.634 .444 .608 r
F P
s
P
p
.002 w
.50647 .57412 m .65228 .53909 L .50647 .84792 L p
.556 .381 .6 r
F P
s
P
p
.002 w
.50647 .57412 m .62616 .52455 L .50647 .84792 L p
.444 .292 .58 r
F P
s
P
p
.002 w
.50647 .57412 m .59087 .51325 L .50647 .84792 L p
.255 .144 .529 r
F P
s
P
p
.002 w
.50647 .57412 m .54893 .50616 L .50647 .84792 L p
0 0 .376 r
F P
s
P
p
.002 w
.50647 .57412 m .50359 .50395 L .50647 .84792 L p
.742 .602 .031 r
F P
s
P
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
P
p
P
% End of Graphics
MathPictureEnd
:[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 293; pictureHeight = 314; animationSpeed = 12]
%!
%%Creator: Mathematica
%%AspectRatio: 1.06876
MathPictureStart
%% Graphics3D
/Courier findfont 10 scalefont setfont
% Scaling calculations
-0.0403087 1.09356 0.0273389 1.09356 [
[ 0 0 0 0 ]
[ 1 1.06876 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
[ ] 0 setdash
0 g
0 0 m
1 0 L
1 1.06876 L
0 1.06876 L
closepath
clip
newpath
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
.19359 .41219 m
.0886 .03539 L
s
.91276 .02734 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
.19359 .41219 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
P
p
.002 w
.50647 .84792 m .46858 .63476 L .50647 .57412 L p
0 0 .376 r
F P
s
P
p
.002 w
.50647 .84792 m .50903 .63652 L .50647 .57412 L p
.742 .602 .031 r
F P
s
P
p
.002 w
.50647 .84792 m .54934 .63425 L .50647 .57412 L p
.995 .763 .407 r
F P
s
P
p
.002 w
.50647 .84792 m .43029 .62905 L .50647 .57412 L p
.255 .144 .529 r
F P
s
P
p
.002 w
.50647 .84792 m .39645 .61968 L .50647 .57412 L p
.444 .292 .58 r
F P
s
P
p
.002 w
.50647 .84792 m .3692 .60709 L .50647 .57412 L p
.556 .381 .6 r
F P
s
P
p
.002 w
.50647 .84792 m .35045 .59198 L .50647 .57412 L p
.634 .444 .608 r
F P
s
P
p
.002 w
.50647 .57412 m .67148 .57303 L .50647 .84792 L p
.698 .496 .611 r
F P
s
P
p
.002 w
.50647 .57412 m .6676 .55567 L .50647 .84792 L p
.634 .444 .608 r
F P
s
P
p
.002 w
.50647 .84792 m .34177 .5752 L .50647 .57412 L p
.698 .496 .611 r
F P
s
P
p
.002 w
.50647 .57412 m .65228 .53909 L .50647 .84792 L p
.556 .381 .6 r
F P
s
P
p
.002 w
.50647 .57412 m .62616 .52455 L .50647 .84792 L p
.444 .292 .58 r
F P
s
P
p
.002 w
.50647 .57412 m .45848 .5068 L .50647 .84792 L p
.995 .763 .407 r
F P
s
P
p
.002 w
.50647 .57412 m .59087 .51325 L .50647 .84792 L p
.255 .144 .529 r
F P
s
P
p
.002 w
.50647 .57412 m .54893 .50616 L .50647 .84792 L p
0 0 .376 r
F P
s
P
p
.002 w
.50647 .57412 m .50359 .50395 L .50647 .84792 L p
.742 .602 .031 r
F P
s
P
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
P
p
P
% End of Graphics
MathPictureEnd
:[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 293; pictureHeight = 314; animationSpeed = 12]
%!
%%Creator: Mathematica
%%AspectRatio: 1.06876
MathPictureStart
%% Graphics3D
/Courier findfont 10 scalefont setfont
% Scaling calculations
-0.0403087 1.09356 0.0273389 1.09356 [
[ 0 0 0 0 ]
[ 1 1.06876 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
[ ] 0 setdash
0 g
0 0 m
1 0 L
1 1.06876 L
0 1.06876 L
closepath
clip
newpath
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
.19359 .41219 m
.0886 .03539 L
s
.91276 .02734 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
.19359 .41219 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
P
p
.002 w
.50647 .84792 m .46858 .63476 L .50647 .57412 L p
0 0 .376 r
F P
s
P
p
.002 w
.50647 .84792 m .50903 .63652 L .50647 .57412 L p
.742 .602 .031 r
F P
s
P
p
.002 w
.50647 .84792 m .54934 .63425 L .50647 .57412 L p
.995 .763 .407 r
F P
s
P
p
.002 w
.50647 .84792 m .43029 .62905 L .50647 .57412 L p
.255 .144 .529 r
F P
s
P
p
.002 w
.50647 .84792 m .58719 .62807 L .50647 .57412 L p
.952 .712 .539 r
F P
s
P
p
.002 w
.50647 .84792 m .39645 .61968 L .50647 .57412 L p
.444 .292 .58 r
F P
s
P
p
.002 w
.50647 .84792 m .3692 .60709 L .50647 .57412 L p
.556 .381 .6 r
F P
s
P
p
.002 w
.50647 .84792 m .35045 .59198 L .50647 .57412 L p
.634 .444 .608 r
F P
s
P
p
.002 w
.34177 .5752 m .67148 .57303 L .50647 .84792 L closepath p
.698 .496 .611 r
F P
s
P
p
.002 w
.50647 .57412 m .6676 .55567 L .50647 .84792 L p
.634 .444 .608 r
F P
s
P
p
.002 w
.50647 .57412 m .65228 .53909 L .50647 .84792 L p
.556 .381 .6 r
F P
s
P
p
.002 w
.50647 .57412 m .41721 .51445 L .50647 .84792 L p
.952 .712 .539 r
F P
s
P
p
.002 w
.50647 .57412 m .62616 .52455 L .50647 .84792 L p
.444 .292 .58 r
F P
s
P
p
.002 w
.50647 .57412 m .45848 .5068 L .50647 .84792 L p
.995 .763 .407 r
F P
s
P
p
.002 w
.50647 .57412 m .59087 .51325 L .50647 .84792 L p
.255 .144 .529 r
F P
s
P
p
.002 w
.50647 .57412 m .54893 .50616 L .50647 .84792 L p
0 0 .376 r
F P
s
P
p
.002 w
.50647 .57412 m .50359 .50395 L .50647 .84792 L p
.742 .602 .031 r
F P
s
P
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
P
p
P
% End of Graphics
MathPictureEnd
:[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 293; pictureHeight = 314; animationSpeed = 12]
%!
%%Creator: Mathematica
%%AspectRatio: 1.06876
MathPictureStart
%% Graphics3D
/Courier findfont 10 scalefont setfont
% Scaling calculations
-0.0403087 1.09356 0.0273389 1.09356 [
[ 0 0 0 0 ]
[ 1 1.06876 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
[ ] 0 setdash
0 g
0 0 m
1 0 L
1 1.06876 L
0 1.06876 L
closepath
clip
newpath
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
.19359 .41219 m
.0886 .03539 L
s
.91276 .02734 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
.19359 .41219 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
P
p
.002 w
.50647 .84792 m .46858 .63476 L .50647 .57412 L p
0 0 .376 r
F P
s
P
p
.002 w
.50647 .84792 m .50903 .63652 L .50647 .57412 L p
.742 .602 .031 r
F P
s
P
p
.002 w
.50647 .84792 m .54934 .63425 L .50647 .57412 L p
.995 .763 .407 r
F P
s
P
p
.002 w
.50647 .84792 m .43029 .62905 L .50647 .57412 L p
.255 .144 .529 r
F P
s
P
p
.002 w
.50647 .84792 m .58719 .62807 L .50647 .57412 L p
.952 .712 .539 r
F P
s
P
p
.002 w
.50647 .84792 m .39645 .61968 L .50647 .57412 L p
.444 .292 .58 r
F P
s
P
p
.002 w
.50647 .84792 m .62032 .61826 L .50647 .57412 L p
.879 .647 .583 r
F P
s
P
p
.002 w
.50647 .84792 m .3692 .60709 L .50647 .57412 L p
.556 .381 .6 r
F P
s
P
p
.002 w
.50647 .84792 m .35045 .59198 L .50647 .57412 L p
.634 .444 .608 r
F P
s
P
p
.002 w
.50647 .57412 m .67148 .57303 L .50647 .84792 L p
.698 .496 .611 r
F P
s
P
p
.002 w
.50647 .57412 m .6676 .55567 L .50647 .84792 L p
.634 .444 .608 r
F P
s
P
p
.002 w
.50647 .84792 m .34177 .5752 L .50647 .57412 L p
.698 .496 .611 r
F P
s
P
p
.002 w
.50647 .57412 m .38295 .52622 L .50647 .84792 L p
.879 .647 .583 r
F P
s
P
p
.002 w
.50647 .57412 m .65228 .53909 L .50647 .84792 L p
.556 .381 .6 r
F P
s
P
p
.002 w
.50647 .57412 m .41721 .51445 L .50647 .84792 L p
.952 .712 .539 r
F P
s
P
p
.002 w
.50647 .57412 m .62616 .52455 L .50647 .84792 L p
.444 .292 .58 r
F P
s
P
p
.002 w
.50647 .57412 m .45848 .5068 L .50647 .84792 L p
.995 .763 .407 r
F P
s
P
p
.002 w
.50647 .57412 m .59087 .51325 L .50647 .84792 L p
.255 .144 .529 r
F P
s
P
p
.002 w
.50647 .57412 m .54893 .50616 L .50647 .84792 L p
0 0 .376 r
F P
s
P
p
.002 w
.50647 .57412 m .50359 .50395 L .50647 .84792 L p
.742 .602 .031 r
F P
s
P
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
P
p
P
% End of Graphics
MathPictureEnd
:[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 293; pictureHeight = 314; animationSpeed = 12]
%!
%%Creator: Mathematica
%%AspectRatio: 1.06876
MathPictureStart
%% Graphics3D
/Courier findfont 10 scalefont setfont
% Scaling calculations
-0.0403087 1.09356 0.0273389 1.09356 [
[ 0 0 0 0 ]
[ 1 1.06876 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
[ ] 0 setdash
0 g
0 0 m
1 0 L
1 1.06876 L
0 1.06876 L
closepath
clip
newpath
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
.19359 .41219 m
.0886 .03539 L
s
.91276 .02734 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
.19359 .41219 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
P
p
.002 w
.50647 .84792 m .46858 .63476 L .50647 .57412 L p
0 0 .376 r
F P
s
P
p
.002 w
.50647 .84792 m .50903 .63652 L .50647 .57412 L p
.742 .602 .031 r
F P
s
P
p
.002 w
.50647 .84792 m .54934 .63425 L .50647 .57412 L p
.995 .763 .407 r
F P
s
P
p
.002 w
.50647 .84792 m .43029 .62905 L .50647 .57412 L p
.255 .144 .529 r
F P
s
P
p
.002 w
.50647 .84792 m .58719 .62807 L .50647 .57412 L p
.952 .712 .539 r
F P
s
P
p
.002 w
.50647 .84792 m .39645 .61968 L .50647 .57412 L p
.444 .292 .58 r
F P
s
P
p
.002 w
.50647 .84792 m .62032 .61826 L .50647 .57412 L p
.879 .647 .583 r
F P
s
P
p
.002 w
.50647 .84792 m .3692 .60709 L .50647 .57412 L p
.556 .381 .6 r
F P
s
P
p
.002 w
.50647 .84792 m .6466 .60532 L .50647 .57412 L p
.814 .592 .601 r
F P
s
P
p
.002 w
.50647 .84792 m .35045 .59198 L .50647 .57412 L p
.634 .444 .608 r
F P
s
P
p
.002 w
.34177 .5752 m .67148 .57303 L .50647 .84792 L closepath p
.698 .496 .611 r
F P
s
P
p
.002 w
.50647 .57412 m .35812 .54109 L .50647 .84792 L p
.814 .592 .601 r
F P
s
P
p
.002 w
.50647 .57412 m .6676 .55567 L .50647 .84792 L p
.634 .444 .608 r
F P
s
P
p
.002 w
.50647 .57412 m .38295 .52622 L .50647 .84792 L p
.879 .647 .583 r
F P
s
P
p
.002 w
.50647 .57412 m .65228 .53909 L .50647 .84792 L p
.556 .381 .6 r
F P
s
P
p
.002 w
.50647 .57412 m .41721 .51445 L .50647 .84792 L p
.952 .712 .539 r
F P
s
P
p
.002 w
.50647 .57412 m .62616 .52455 L .50647 .84792 L p
.444 .292 .58 r
F P
s
P
p
.002 w
.50647 .57412 m .45848 .5068 L .50647 .84792 L p
.995 .763 .407 r
F P
s
P
p
.002 w
.50647 .57412 m .59087 .51325 L .50647 .84792 L p
.255 .144 .529 r
F P
s
P
p
.002 w
.50647 .57412 m .54893 .50616 L .50647 .84792 L p
0 0 .376 r
F P
s
P
p
.002 w
.50647 .57412 m .50359 .50395 L .50647 .84792 L p
.742 .602 .031 r
F P
s
P
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
P
p
P
% End of Graphics
MathPictureEnd
:[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 293; pictureHeight = 314; endGroup; endGroup; animationSpeed = 12]
%!
%%Creator: Mathematica
%%AspectRatio: 1.06876
MathPictureStart
%% Graphics3D
/Courier findfont 10 scalefont setfont
% Scaling calculations
-0.0403087 1.09356 0.0273389 1.09356 [
[ 0 0 0 0 ]
[ 1 1.06876 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
[ ] 0 setdash
0 g
0 0 m
1 0 L
1 1.06876 L
0 1.06876 L
closepath
clip
newpath
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
.19359 .41219 m
.0886 .03539 L
s
.91276 .02734 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
.19359 .41219 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
P
p
.002 w
.50647 .84792 m .46858 .63476 L .50647 .57412 L p
0 0 .376 r
F P
s
P
p
.002 w
.50647 .84792 m .50903 .63652 L .50647 .57412 L p
.742 .602 .031 r
F P
s
P
p
.002 w
.50647 .84792 m .54934 .63425 L .50647 .57412 L p
.995 .763 .407 r
F P
s
P
p
.002 w
.50647 .84792 m .43029 .62905 L .50647 .57412 L p
.255 .144 .529 r
F P
s
P
p
.002 w
.50647 .84792 m .58719 .62807 L .50647 .57412 L p
.952 .712 .539 r
F P
s
P
p
.002 w
.50647 .84792 m .39645 .61968 L .50647 .57412 L p
.444 .292 .58 r
F P
s
P
p
.002 w
.50647 .84792 m .62032 .61826 L .50647 .57412 L p
.879 .647 .583 r
F P
s
P
p
.002 w
.50647 .84792 m .3692 .60709 L .50647 .57412 L p
.556 .381 .6 r
F P
s
P
p
.002 w
.50647 .84792 m .6466 .60532 L .50647 .57412 L p
.814 .592 .601 r
F P
s
P
p
.002 w
.50647 .84792 m .35045 .59198 L .50647 .57412 L p
.634 .444 .608 r
F P
s
P
p
.002 w
.50647 .84792 m .66416 .58994 L .50647 .57412 L p
.755 .543 .609 r
F P
s
P
p
.002 w
.50647 .84792 m .34177 .5752 L .50647 .57412 L p
.698 .496 .611 r
F P
s
P
p
.002 w
.50647 .57412 m .34422 .55784 L .50647 .84792 L p
.755 .543 .609 r
F P
s
P
p
.002 w
.50647 .57412 m .67148 .57303 L .50647 .84792 L p
.698 .496 .611 r
F P
s
P
p
.002 w
.50647 .57412 m .35812 .54109 L .50647 .84792 L p
.814 .592 .601 r
F P
s
P
p
.002 w
.50647 .57412 m .6676 .55567 L .50647 .84792 L p
.634 .444 .608 r
F P
s
P
p
.002 w
.50647 .57412 m .38295 .52622 L .50647 .84792 L p
.879 .647 .583 r
F P
s
P
p
.002 w
.50647 .57412 m .65228 .53909 L .50647 .84792 L p
.556 .381 .6 r
F P
s
P
p
.002 w
.50647 .57412 m .41721 .51445 L .50647 .84792 L p
.952 .712 .539 r
F P
s
P
p
.002 w
.50647 .57412 m .62616 .52455 L .50647 .84792 L p
.444 .292 .58 r
F P
s
P
p
.002 w
.50647 .57412 m .45848 .5068 L .50647 .84792 L p
.995 .763 .407 r
F P
s
P
p
.002 w
.50647 .57412 m .59087 .51325 L .50647 .84792 L p
.255 .144 .529 r
F P
s
P
p
.002 w
.50647 .57412 m .54893 .50616 L .50647 .84792 L p
0 0 .376 r
F P
s
P
p
.002 w
.50647 .57412 m .50359 .50395 L .50647 .84792 L p
.742 .602 .031 r
F P
s
P
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
P
p
P
% End of Graphics
MathPictureEnd
:[font = text; inactive; locked; preserveAspect; endGroup; animationSpeed = 19]
Can you now "see" the figure formed?
Click anywhere to stop the animation.
Mathematica now shows the surface.
;[s]
3:0,0;75,1;86,0;115,-1;
2:2,34,24,CalcMath,0,20,0,0,0;1,34,24,CalcMath,2,20,0,0,0;
:[font = subsection; inactive; preserveAspect; startGroup; animationSpeed = 30]
Surface formed
:[font = input; preserveAspect; fontSize = 12; startGroup; animationSpeed = 30]
Clear[h,r,t,radius]
radius = 1;
ParametricPlot3D[{(1 - h) radius Sqrt[3]/2 Cos[t],
(1 - h) radius Sqrt[3]/2 Sin[t],
h 3 radius/2},
{h,0,1},{t,0,2 Pi},
ViewPoint->{0.051, -3.100, 1.356},
PlotRange->{{-2,2},{-2,2},{-2,2}},
Ticks->None];
:[font = postscript; PostScript; formatAsPostScript; output; inactive; preserveAspect; pictureLeft = 34; pictureWidth = 293; pictureHeight = 314; endGroup]
%!
%%Creator: Mathematica
%%AspectRatio: 1.06876
MathPictureStart
%% Graphics3D
/Courier findfont 10 scalefont setfont
% Scaling calculations
-0.0403087 1.09356 0.0273389 1.09356 [
[ 0 0 0 0 ]
[ 1 1.06876 0 0 ]
] MathScale
% Start of Graphics
1 setlinecap
1 setlinejoin
newpath
[ ] 0 setdash
0 g
p
p
.002 w
.0886 .03539 m
.91276 .02734 L
s
P
P
p
p
.002 w
.02734 .82027 m
.15923 1.04142 L
s
P
P
p
p
.002 w
.91276 .02734 m
.97266 .81539 L
s
P
P
0 0 m
1 0 L
1 1.06876 L
0 1.06876 L
closepath
clip
newpath
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
.19359 .41219 m
.0886 .03539 L
s
.91276 .02734 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
.19359 .41219 m
.83102 .40738 L
s
.83102 .40738 m
.86681 1.03868 L
s
.86681 1.03868 m
.15923 1.04142 L
s
.15923 1.04142 m
.19359 .41219 L
s
P
p
.002 w
.4489 .64228 m .446 .63192 L .49616 .6364 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.49616 .6364 m .49665 .6465 L .4489 .64228 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.49665 .6465 m .49616 .6364 L .54726 .63447 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.54726 .63447 m .54531 .64468 L .49665 .6465 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.54531 .64468 m .54726 .63447 L .59463 .62629 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.4065 .63235 m .40141 .62139 L .446 .63192 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.446 .63192 m .4489 .64228 L .4065 .63235 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.45183 .65274 m .4489 .64228 L .49665 .6465 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.49665 .6465 m .49715 .65671 L .45183 .65274 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.49715 .65671 m .49665 .6465 L .54531 .64468 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.54531 .64468 m .54334 .655 L .49715 .65671 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.54334 .655 m .54531 .64468 L .59038 .63697 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.59463 .62629 m .59038 .63697 L .54531 .64468 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.41163 .64341 m .4065 .63235 L .4489 .64228 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.4489 .64228 m .45183 .65274 L .41163 .64341 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.59038 .63697 m .59463 .62629 L .63374 .61248 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.45479 .66331 m .45183 .65274 L .49715 .65671 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.49715 .65671 m .49765 .66702 L .45479 .66331 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.49765 .66702 m .49715 .65671 L .54334 .655 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.54334 .655 m .54135 .66542 L .49765 .66702 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.54135 .66542 m .54334 .655 L .58609 .64775 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.59038 .63697 m .58609 .64775 L .54334 .655 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.37365 .6175 m .36679 .60561 L .40141 .62139 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.40141 .62139 m .4065 .63235 L .37365 .6175 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.4168 .65457 m .41163 .64341 L .45183 .65274 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.45183 .65274 m .45479 .66331 L .4168 .65457 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.58609 .64775 m .59038 .63697 L .62753 .62397 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.63374 .61248 m .62753 .62397 L .59038 .63697 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.45777 .67398 m .45479 .66331 L .49765 .66702 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.49765 .66702 m .49816 .67744 L .45777 .67398 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.49816 .67744 m .49765 .66702 L .54135 .66542 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.54135 .66542 m .53933 .67595 L .49816 .67744 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.53933 .67595 m .54135 .66542 L .58176 .65864 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.58609 .64775 m .58176 .65864 L .54135 .66542 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.38055 .62948 m .37365 .6175 L .4065 .63235 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.4065 .63235 m .41163 .64341 L .38055 .62948 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.58176 .65864 m .58609 .64775 L .62128 .63554 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.62753 .62397 m .62128 .63554 L .58609 .64775 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.42203 .66584 m .4168 .65457 L .45479 .66331 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.45479 .66331 m .45777 .67398 L .42203 .66584 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.46079 .68475 m .45777 .67398 L .49816 .67744 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.49816 .67744 m .49867 .68797 L .46079 .68475 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.49867 .68797 m .49816 .67744 L .53933 .67595 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.53933 .67595 m .5373 .68659 L .49867 .68797 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.5373 .68659 m .53933 .67595 L .57739 .66962 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.58176 .65864 m .57739 .66962 L .53933 .67595 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.62753 .62397 m .63374 .61248 L .66048 .59418 L p
0 0 .082 r
F P
s
P
p
.002 w
.38751 .64155 m .38055 .62948 L .41163 .64341 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.41163 .64341 m .4168 .65457 L .38751 .64155 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.57739 .66962 m .58176 .65864 L .61497 .64722 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.62128 .63554 m .61497 .64722 L .58176 .65864 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.4273 .6772 m .42203 .66584 L .45777 .67398 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.45777 .67398 m .46079 .68475 L .4273 .6772 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.46384 .69564 m .46079 .68475 L .49867 .68797 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.49867 .68797 m .49919 .69861 L .46384 .69564 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.49919 .69861 m .49867 .68797 L .5373 .68659 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.62128 .63554 m .62753 .62397 L .65285 .60675 L p
0 0 .082 r
F P
s
P
p
.002 w
.66048 .59418 m .65285 .60675 L .62753 .62397 L p
0 0 .082 r
F P
s
P
p
.002 w
.5373 .68659 m .53525 .69733 L .49919 .69861 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.53525 .69733 m .5373 .68659 L .57298 .68071 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.57739 .66962 m .57298 .68071 L .5373 .68659 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.39452 .65371 m .38751 .64155 L .4168 .65457 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.4168 .65457 m .42203 .66584 L .39452 .65371 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.57298 .68071 m .57739 .66962 L .6086 .65899 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.61497 .64722 m .6086 .65899 L .57739 .66962 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.35402 .59901 m .34601 .58594 L .36679 .60561 L p
.812 .359 0 r
F P
s
P
p
.002 w
.36679 .60561 m .37365 .6175 L .35402 .59901 L p
.812 .359 0 r
F P
s
P
p
.002 w
.43262 .68867 m .4273 .6772 L .46079 .68475 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.46079 .68475 m .46384 .69564 L .43262 .68867 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.61497 .64722 m .62128 .63554 L .64517 .61941 L p
0 0 .082 r
F P
s
P
p
.002 w
.65285 .60675 m .64517 .61941 L .62128 .63554 L p
0 0 .082 r
F P
s
P
p
.002 w
.46692 .70664 m .46384 .69564 L .49919 .69861 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.49919 .69861 m .49972 .70936 L .46692 .70664 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.49972 .70936 m .49919 .69861 L .53525 .69733 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.40159 .66597 m .39452 .65371 L .42203 .66584 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.42203 .66584 m .4273 .6772 L .40159 .66597 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.36207 .61216 m .35402 .59901 L .37365 .6175 L p
.812 .359 0 r
F P
s
P
p
.002 w
.37365 .6175 m .38055 .62948 L .36207 .61216 L p
.812 .359 0 r
F P
s
P
p
.002 w
.53525 .69733 m .53317 .70819 L .49972 .70936 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.53317 .70819 m .53525 .69733 L .56853 .69191 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.57298 .68071 m .56853 .69191 L .53525 .69733 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.56853 .69191 m .57298 .68071 L .60219 .67085 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.6086 .65899 m .60219 .67085 L .57298 .68071 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.43799 .70025 m .43262 .68867 L .46384 .69564 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.46384 .69564 m .46692 .70664 L .43799 .70025 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.6086 .65899 m .61497 .64722 L .63743 .63215 L p
0 0 .082 r
F P
s
P
p
.002 w
.64517 .61941 m .63743 .63215 L .61497 .64722 L p
0 0 .082 r
F P
s
P
p
.002 w
.37018 .62539 m .36207 .61216 L .38055 .62948 L p
.812 .359 0 r
F P
s
P
p
.002 w
.38055 .62948 m .38751 .64155 L .37018 .62539 L p
.812 .359 0 r
F P
s
P
p
.002 w
.47003 .71775 m .46692 .70664 L .49972 .70936 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.49972 .70936 m .50025 .72023 L .47003 .71775 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.50025 .72023 m .49972 .70936 L .53317 .70819 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.4087 .67832 m .40159 .66597 L .4273 .6772 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.4273 .6772 m .43262 .68867 L .4087 .67832 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.53317 .70819 m .53108 .71916 L .50025 .72023 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.53108 .71916 m .53317 .70819 L .56403 .70322 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.56853 .69191 m .56403 .70322 L .53317 .70819 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.56403 .70322 m .56853 .69191 L .59572 .68282 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.60219 .67085 m .59572 .68282 L .56853 .69191 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.60219 .67085 m .6086 .65899 L .62965 .64497 L p
0 0 .082 r
F P
s
P
p
.002 w
.63743 .63215 m .62965 .64497 L .6086 .65899 L p
0 0 .082 r
F P
s
P
p
.002 w
.65285 .60675 m .66048 .59418 L .67148 .57303 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.4434 .71193 m .43799 .70025 L .46692 .70664 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.46692 .70664 m .47003 .71775 L .4434 .71193 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.37832 .63869 m .37018 .62539 L .38751 .64155 L p
.812 .359 0 r
F P
s
P
p
.002 w
.38751 .64155 m .39452 .65371 L .37832 .63869 L p
.812 .359 0 r
F P
s
P
p
.002 w
.41588 .69076 m .4087 .67832 L .43262 .68867 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.43262 .68867 m .43799 .70025 L .41588 .69076 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.47317 .72897 m .47003 .71775 L .50025 .72023 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.50025 .72023 m .50078 .73122 L .47317 .72897 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.50078 .73122 m .50025 .72023 L .53108 .71916 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.64517 .61941 m .65285 .60675 L .66316 .5869 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.67148 .57303 m .66316 .5869 L .65285 .60675 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.56403 .70322 m .55949 .71463 L .53108 .71916 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.55949 .71463 m .56403 .70322 L .5892 .69488 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.59572 .68282 m .5892 .69488 L .56403 .70322 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.59572 .68282 m .60219 .67085 L .62182 .65788 L p
0 0 .082 r
F P
s
P
p
.002 w
.62965 .64497 m .62182 .65788 L .60219 .67085 L p
0 0 .082 r
F P
s
P
p
.002 w
.53108 .71916 m .52896 .73025 L .50078 .73122 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.52896 .73025 m .53108 .71916 L .55949 .71463 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.38652 .65207 m .37832 .63869 L .39452 .65371 L p
.812 .359 0 r
F P
s
P
p
.002 w
.39452 .65371 m .40159 .66597 L .38652 .65207 L p
.812 .359 0 r
F P
s
P
p
.002 w
.44887 .72372 m .4434 .71193 L .47003 .71775 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.47003 .71775 m .47317 .72897 L .44887 .72372 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.63743 .63215 m .64517 .61941 L .65479 .60083 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.66316 .5869 m .65479 .60083 L .64517 .61941 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.42311 .7033 m .41588 .69076 L .43799 .70025 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.43799 .70025 m .4434 .71193 L .42311 .7033 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.35035 .57865 m .34199 .56423 L .34601 .58594 L p
0 .017 .591 r
F P
s
P
p
.002 w
.34601 .58594 m .35402 .59901 L .35035 .57865 L p
0 .017 .591 r
F P
s
P
p
.002 w
.5892 .69488 m .59572 .68282 L .61393 .67087 L p
0 0 .082 r
F P
s
P
p
.002 w
.62182 .65788 m .61393 .67087 L .59572 .68282 L p
0 0 .082 r
F P
s
P
p
.002 w
.47635 .74031 m .47317 .72897 L .50078 .73122 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.50078 .73122 m .50132 .74232 L .47635 .74031 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.50132 .74232 m .50078 .73122 L .52896 .73025 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.39476 .66553 m .38652 .65207 L .40159 .66597 L p
.812 .359 0 r
F P
s
P
p
.002 w
.40159 .66597 m .4087 .67832 L .39476 .66553 L p
.812 .359 0 r
F P
s
P
p
.002 w
.55949 .71463 m .5549 .72616 L .52896 .73025 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.5549 .72616 m .55949 .71463 L .58262 .70705 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.5892 .69488 m .58262 .70705 L .55949 .71463 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.52896 .73025 m .52681 .74146 L .50132 .74232 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.52681 .74146 m .52896 .73025 L .5549 .72616 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.62965 .64497 m .63743 .63215 L .64639 .61483 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.65479 .60083 m .64639 .61483 L .63743 .63215 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.35874 .59313 m .35035 .57865 L .35402 .59901 L p
0 .017 .591 r
F P
s
P
p
.002 w
.35402 .59901 m .36207 .61216 L .35874 .59313 L p
0 .017 .591 r
F P
s
P
p
.002 w
.45439 .73562 m .44887 .72372 L .47317 .72897 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.47317 .72897 m .47635 .74031 L .45439 .73562 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.43039 .71594 m .42311 .7033 L .4434 .71193 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.4434 .71193 m .44887 .72372 L .43039 .71594 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.58262 .70705 m .5892 .69488 L .60599 .68395 L p
0 0 .082 r
F P
s
P
p
.002 w
.61393 .67087 m .60599 .68395 L .5892 .69488 L p
0 0 .082 r
F P
s
P
p
.002 w
.40305 .67907 m .39476 .66553 L .4087 .67832 L p
.812 .359 0 r
F P
s
P
p
.002 w
.4087 .67832 m .41588 .69076 L .40305 .67907 L p
.812 .359 0 r
F P
s
P
p
.002 w
.62182 .65788 m .62965 .64497 L .63795 .6289 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.64639 .61483 m .63795 .6289 L .62965 .64497 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.36717 .60766 m .35874 .59313 L .36207 .61216 L p
0 .017 .591 r
F P
s
P
p
.002 w
.36207 .61216 m .37018 .62539 L .36717 .60766 L p
0 .017 .591 r
F P
s
P
p
.002 w
.5549 .72616 m .55027 .7378 L .52681 .74146 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.55027 .7378 m .5549 .72616 L .57599 .71932 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.58262 .70705 m .57599 .71932 L .5549 .72616 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.47955 .75177 m .47635 .74031 L .50132 .74232 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.50132 .74232 m .50187 .75355 L .47955 .75177 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.50187 .75355 m .50132 .74232 L .52681 .74146 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.52681 .74146 m .52465 .75278 L .50187 .75355 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.52465 .75278 m .52681 .74146 L .55027 .7378 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.45996 .74763 m .45439 .73562 L .47635 .74031 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.47635 .74031 m .47955 .75177 L .45996 .74763 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.43773 .72868 m .43039 .71594 L .44887 .72372 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.44887 .72372 m .45439 .73562 L .43773 .72868 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.37562 .62224 m .36717 .60766 L .37018 .62539 L p
0 .017 .591 r
F P
s
P
p
.002 w
.37018 .62539 m .37832 .63869 L .37562 .62224 L p
0 .017 .591 r
F P
s
P
p
.002 w
.41139 .69269 m .40305 .67907 L .41588 .69076 L p
.812 .359 0 r
F P
s
P
p
.002 w
.41588 .69076 m .42311 .7033 L .41139 .69269 L p
.812 .359 0 r
F P
s
P
p
.002 w
.57599 .71932 m .58262 .70705 L .598 .69712 L p
0 0 .082 r
F P
s
P
p
.002 w
.60599 .68395 m .598 .69712 L .58262 .70705 L p
0 0 .082 r
F P
s
P
p
.002 w
.61393 .67087 m .62182 .65788 L .62947 .64302 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.63795 .6289 m .62947 .64302 L .62182 .65788 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.55027 .7378 m .5456 .74955 L .52465 .75278 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.5456 .74955 m .55027 .7378 L .5693 .73169 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.57599 .71932 m .5693 .73169 L .55027 .7378 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.66316 .5869 m .67148 .57303 L .66467 .55118 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.38411 .63688 m .37562 .62224 L .37832 .63869 L p
0 .017 .591 r
F P
s
P
p
.002 w
.37832 .63869 m .38652 .65207 L .38411 .63688 L p
0 .017 .591 r
F P
s
P
p
.002 w
.48279 .76335 m .47955 .75177 L .50187 .75355 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.50187 .75355 m .50242 .76489 L .48279 .76335 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.50242 .76489 m .50187 .75355 L .52465 .75278 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.60599 .68395 m .61393 .67087 L .62094 .65722 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.62947 .64302 m .62094 .65722 L .61393 .67087 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.52465 .75278 m .52246 .76423 L .50242 .76489 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.52246 .76423 m .52465 .75278 L .5456 .74955 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.41978 .70638 m .41139 .69269 L .42311 .7033 L p
.812 .359 0 r
F P
s
P
p
.002 w
.42311 .7033 m .43039 .71594 L .41978 .70638 L p
.812 .359 0 r
F P
s
P
p
.002 w
.5693 .73169 m .57599 .71932 L .58996 .71037 L p
0 0 .082 r
F P
s
P
p
.002 w
.598 .69712 m .58996 .71037 L .57599 .71932 L p
0 0 .082 r
F P
s
P
p
.002 w
.44513 .74151 m .43773 .72868 L .45439 .73562 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.45439 .73562 m .45996 .74763 L .44513 .74151 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.46558 .75976 m .45996 .74763 L .47955 .75177 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.47955 .75177 m .48279 .76335 L .46558 .75976 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.65479 .60083 m .66316 .5869 L .65654 .56643 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.66467 .55118 m .65654 .56643 L .66316 .5869 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.39263 .65158 m .38411 .63688 L .38652 .65207 L p
0 .017 .591 r
F P
s
P
p
.002 w
.38652 .65207 m .39476 .66553 L .39263 .65158 L p
0 .017 .591 r
F P
s
P
p
.002 w
.598 .69712 m .60599 .68395 L .61238 .67148 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.62094 .65722 m .61238 .67148 L .60599 .68395 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.5456 .74955 m .54087 .76142 L .52246 .76423 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.54087 .76142 m .5456 .74955 L .56256 .74417 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.5693 .73169 m .56256 .74417 L .5456 .74955 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.64639 .61483 m .65479 .60083 L .64839 .58172 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.65654 .56643 m .64839 .58172 L .65479 .60083 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.42822 .72016 m .41978 .70638 L .43039 .71594 L p
.812 .359 0 r
F P
s
P
p
.002 w
.43039 .71594 m .43773 .72868 L .42822 .72016 L p
.812 .359 0 r
F P
s
P
p
.002 w
.48607 .77505 m .48279 .76335 L .50242 .76489 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.50242 .76489 m .50298 .77636 L .48607 .77505 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.50298 .77636 m .50242 .76489 L .52246 .76423 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.56256 .74417 m .5693 .73169 L .58186 .72371 L p
0 0 .082 r
F P
s
P
p
.002 w
.58996 .71037 m .58186 .72371 L .5693 .73169 L p
0 0 .082 r
F P
s
P
p
.002 w
.40119 .66634 m .39263 .65158 L .39476 .66553 L p
0 .017 .591 r
F P
s
P
p
.002 w
.39476 .66553 m .40305 .67907 L .40119 .66634 L p
0 .017 .591 r
F P
s
P
p
.002 w
.52246 .76423 m .52025 .7758 L .50298 .77636 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.52025 .7758 m .52246 .76423 L .54087 .76142 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.45259 .75445 m .44513 .74151 L .45996 .74763 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.45996 .74763 m .46558 .75976 L .45259 .75445 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.63795 .6289 m .64639 .61483 L .64021 .59705 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.64839 .58172 m .64021 .59705 L .64639 .61483 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.47126 .77199 m .46558 .75976 L .48279 .76335 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.48279 .76335 m .48607 .77505 L .47126 .77199 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.58996 .71037 m .598 .69712 L .60379 .6858 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.61238 .67148 m .60379 .6858 L .598 .69712 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.36391 .55857 m .35613 .54279 L .34199 .56423 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.34199 .56423 m .35035 .57865 L .36391 .55857 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.40978 .68115 m .40119 .66634 L .40305 .67907 L p
0 .017 .591 r
F P
s
P
p
.002 w
.40305 .67907 m .41139 .69269 L .40978 .68115 L p
0 .017 .591 r
F P
s
P
p
.002 w
.43671 .73402 m .42822 .72016 L .43773 .72868 L p
.812 .359 0 r
F P
s
P
p
.002 w
.43773 .72868 m .44513 .74151 L .43671 .73402 L p
.812 .359 0 r
F P
s
P
p
.002 w
.62947 .64302 m .63795 .6289 L .63202 .61242 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.64021 .59705 m .63202 .61242 L .63795 .6289 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.54087 .76142 m .53611 .77341 L .52025 .7758 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.53611 .77341 m .54087 .76142 L .55575 .75675 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.56256 .74417 m .55575 .75675 L .54087 .76142 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.3717 .57439 m .36391 .55857 L .35035 .57865 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.35035 .57865 m .35874 .59313 L .3717 .57439 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.55575 .75675 m .56256 .74417 L .57371 .73714 L p
0 0 .082 r
F P
s
P
p
.002 w
.58186 .72371 m .57371 .73714 L .56256 .74417 L p
0 0 .082 r
F P
s
P
p
.002 w
.58186 .72371 m .58996 .71037 L .59514 .7002 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.60379 .6858 m .59514 .7002 L .58996 .71037 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.48938 .78688 m .48607 .77505 L .50298 .77636 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.50298 .77636 m .50355 .78796 L .48938 .78688 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.50355 .78796 m .50298 .77636 L .52025 .7758 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.4601 .76749 m .45259 .75445 L .46558 .75976 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.46558 .75976 m .47126 .77199 L .4601 .76749 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.62094 .65722 m .62947 .64302 L .62381 .62783 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.63202 .61242 m .62381 .62783 L .62947 .64302 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.37951 .59024 m .3717 .57439 L .35874 .59313 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.35874 .59313 m .36717 .60766 L .37951 .59024 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.52025 .7758 m .51802 .78749 L .50355 .78796 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.51802 .78749 m .52025 .7758 L .53611 .77341 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.4184 .69602 m .40978 .68115 L .41139 .69269 L p
0 .017 .591 r
F P
s
P
p
.002 w
.41139 .69269 m .41978 .70638 L .4184 .69602 L p
0 .017 .591 r
F P
s
P
p
.002 w
.47699 .78435 m .47126 .77199 L .48607 .77505 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.48607 .77505 m .48938 .78688 L .47699 .78435 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.44525 .74796 m .43671 .73402 L .44513 .74151 L p
.812 .359 0 r
F P
s
P
p
.002 w
.44513 .74151 m .45259 .75445 L .44525 .74796 L p
.812 .359 0 r
F P
s
P
p
.002 w
.38733 .60612 m .37951 .59024 L .36717 .60766 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.36717 .60766 m .37562 .62224 L .38733 .60612 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.61238 .67148 m .62094 .65722 L .61557 .64328 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.62381 .62783 m .61557 .64328 L .62094 .65722 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.57371 .73714 m .58186 .72371 L .58646 .71466 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.59514 .7002 m .58646 .71466 L .58186 .72371 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.53611 .77341 m .53129 .78552 L .51802 .78749 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.53129 .78552 m .53611 .77341 L .54889 .76944 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.55575 .75675 m .54889 .76944 L .53611 .77341 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.54889 .76944 m .55575 .75675 L .5655 .75066 L p
0 0 .082 r
F P
s
P
p
.002 w
.57371 .73714 m .5655 .75066 L .55575 .75675 L p
0 0 .082 r
F P
s
P
p
.002 w
.42705 .71094 m .4184 .69602 L .41978 .70638 L p
0 .017 .591 r
F P
s
P
p
.002 w
.41978 .70638 m .42822 .72016 L .42705 .71094 L p
0 .017 .591 r
F P
s
P
p
.002 w
.39517 .62202 m .38733 .60612 L .37562 .62224 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.37562 .62224 m .38411 .63688 L .39517 .62202 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.46768 .78063 m .4601 .76749 L .47126 .77199 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.47126 .77199 m .47699 .78435 L .46768 .78063 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.60379 .6858 m .61238 .67148 L .60731 .65877 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.61557 .64328 m .60731 .65877 L .61238 .67148 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.49273 .79883 m .48938 .78688 L .50355 .78796 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.50355 .78796 m .50412 .79969 L .49273 .79883 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.50412 .79969 m .50355 .78796 L .51802 .78749 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.45384 .76199 m .44525 .74796 L .45259 .75445 L p
.812 .359 0 r
F P
s
P
p
.002 w
.45259 .75445 m .4601 .76749 L .45384 .76199 L p
.812 .359 0 r
F P
s
P
p
.002 w
.51802 .78749 m .51576 .79932 L .50412 .79969 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.51576 .79932 m .51802 .78749 L .53129 .78552 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.5655 .75066 m .57371 .73714 L .57774 .72919 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.58646 .71466 m .57774 .72919 L .57371 .73714 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.40302 .63796 m .39517 .62202 L .38411 .63688 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.38411 .63688 m .39263 .65158 L .40302 .63796 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.43574 .72593 m .42705 .71094 L .42822 .72016 L p
0 .017 .591 r
F P
s
P
p
.002 w
.42822 .72016 m .43671 .73402 L .43574 .72593 L p
0 .017 .591 r
F P
s
P
p
.002 w
.48277 .79682 m .47699 .78435 L .48938 .78688 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.48938 .78688 m .49273 .79883 L .48277 .79682 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.54889 .76944 m .54198 .78224 L .53129 .78552 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.54198 .78224 m .54889 .76944 L .55724 .76427 L p
0 0 .082 r
F P
s
P
p
.002 w
.5655 .75066 m .55724 .76427 L .54889 .76944 L p
0 0 .082 r
F P
s
P
p
.002 w
.59514 .7002 m .60379 .6858 L .59903 .6743 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.60731 .65877 m .59903 .6743 L .60379 .6858 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.65654 .56643 m .66467 .55118 L .6398 .5311 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.53129 .78552 m .52643 .79775 L .51576 .79932 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.52643 .79775 m .53129 .78552 L .54198 .78224 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.41089 .65393 m .40302 .63796 L .39263 .65158 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.39263 .65158 m .40119 .66634 L .41089 .65393 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.47531 .79387 m .46768 .78063 L .47699 .78435 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.47699 .78435 m .48277 .79682 L .47531 .79387 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.64839 .58172 m .65654 .56643 L .63283 .54765 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.6398 .5311 m .63283 .54765 L .65654 .56643 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.44446 .74097 m .43574 .72593 L .43671 .73402 L p
0 .017 .591 r
F P
s
P
p
.002 w
.43671 .73402 m .44525 .74796 L .44446 .74097 L p
0 .017 .591 r
F P
s
P
p
.002 w
.46248 .7761 m .45384 .76199 L .4601 .76749 L p
.812 .359 0 r
F P
s
P
p
.002 w
.4601 .76749 m .46768 .78063 L .46248 .7761 L p
.812 .359 0 r
F P
s
P
p
.002 w
.55724 .76427 m .5655 .75066 L .56898 .74378 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.57774 .72919 m .56898 .74378 L .5655 .75066 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.58646 .71466 m .59514 .7002 L .59073 .68987 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.59903 .6743 m .59073 .68987 L .59514 .7002 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.41877 .66993 m .41089 .65393 L .40119 .66634 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.40119 .66634 m .40978 .68115 L .41877 .66993 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.64021 .59705 m .64839 .58172 L .62586 .56422 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.63283 .54765 m .62586 .56422 L .64839 .58172 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.49611 .8109 m .49273 .79883 L .50412 .79969 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.50412 .79969 m .5047 .81154 L .49611 .8109 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.5047 .81154 m .50412 .79969 L .51576 .79932 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.51576 .79932 m .51347 .81127 L .5047 .81154 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.51347 .81127 m .51576 .79932 L .52643 .79775 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.54198 .78224 m .535 .79515 L .52643 .79775 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.535 .79515 m .54198 .78224 L .54892 .77798 L p
0 0 .082 r
F P
s
P
p
.002 w
.55724 .76427 m .54892 .77798 L .54198 .78224 L p
0 0 .082 r
F P
s
P
p
.002 w
.48861 .80941 m .48277 .79682 L .49273 .79883 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.49273 .79883 m .49611 .8109 L .48861 .80941 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.42667 .68595 m .41877 .66993 L .40978 .68115 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.40978 .68115 m .4184 .69602 L .42667 .68595 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.63202 .61242 m .64021 .59705 L .61889 .58079 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.62586 .56422 m .61889 .58079 L .64021 .59705 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.57774 .72919 m .58646 .71466 L .5824 .70549 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.59073 .68987 m .5824 .70549 L .58646 .71466 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.45322 .75607 m .44446 .74097 L .44525 .74796 L p
0 .017 .591 r
F P
s
P
p
.002 w
.44525 .74796 m .45384 .76199 L .45322 .75607 L p
0 .017 .591 r
F P
s
P
p
.002 w
.54892 .77798 m .55724 .76427 L .56018 .75845 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.56898 .74378 m .56018 .75845 L .55724 .76427 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.52643 .79775 m .52151 .8101 L .51347 .81127 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.52151 .8101 m .52643 .79775 L .535 .79515 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.62381 .62783 m .63202 .61242 L .6119 .59738 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.61889 .58079 m .6119 .59738 L .63202 .61242 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.47117 .79029 m .46248 .7761 L .46768 .78063 L p
.812 .359 0 r
F P
s
P
p
.002 w
.46768 .78063 m .47531 .79387 L .47117 .79029 L p
.812 .359 0 r
F P
s
P
p
.002 w
.43458 .70201 m .42667 .68595 L .4184 .69602 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.4184 .69602 m .42705 .71094 L .43458 .70201 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.48301 .80722 m .47531 .79387 L .48277 .79682 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.48277 .79682 m .48861 .80941 L .48301 .80722 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.56898 .74378 m .57774 .72919 L .57405 .72115 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.5824 .70549 m .57405 .72115 L .57774 .72919 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.61557 .64328 m .62381 .62783 L .60492 .61399 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.6119 .59738 m .60492 .61399 L .62381 .62783 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.462 .77123 m .45322 .75607 L .45384 .76199 L p
0 .017 .591 r
F P
s
P
p
.002 w
.45384 .76199 m .46248 .7761 L .462 .77123 L p
0 .017 .591 r
F P
s
P
p
.002 w
.39402 .54114 m .38778 .52413 L .35613 .54279 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.35613 .54279 m .36391 .55857 L .39402 .54114 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.44251 .7181 m .43458 .70201 L .42705 .71094 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.42705 .71094 m .43574 .72593 L .44251 .7181 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.535 .79515 m .52796 .80817 L .52151 .8101 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.52796 .80817 m .535 .79515 L .54055 .79178 L p
0 0 .082 r
F P
s
P
p
.002 w
.54892 .77798 m .54055 .79178 L .535 .79515 L p
0 0 .082 r
F P
s
P
p
.002 w
.60731 .65877 m .61557 .64328 L .59792 .63061 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.60492 .61399 m .59792 .63061 L .61557 .64328 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.54055 .79178 m .54892 .77798 L .55133 .77319 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.56018 .75845 m .55133 .77319 L .54892 .77798 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.40025 .55815 m .39402 .54114 L .36391 .55857 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.36391 .55857 m .3717 .57439 L .40025 .55815 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.49952 .82311 m .49611 .8109 L .5047 .81154 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.5047 .81154 m .50528 .82353 L .49952 .82311 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.50528 .82353 m .5047 .81154 L .51347 .81127 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.56018 .75845 m .56898 .74378 L .56569 .73684 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.57405 .72115 m .56569 .73684 L .56898 .74378 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.51347 .81127 m .51116 .82335 L .50528 .82353 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.51116 .82335 m .51347 .81127 L .52151 .8101 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.49451 .82212 m .48861 .80941 L .49611 .8109 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.49611 .8109 m .49952 .82311 L .49451 .82212 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.40649 .57517 m .40025 .55815 L .3717 .57439 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.3717 .57439 m .37951 .59024 L .40649 .57517 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.59903 .6743 m .60731 .65877 L .59092 .64724 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.59792 .63061 m .59092 .64724 L .60731 .65877 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.47992 .80457 m .47117 .79029 L .47531 .79387 L p
.812 .359 0 r
F P
s
P
p
.002 w
.47531 .79387 m .48301 .80722 L .47992 .80457 L p
.812 .359 0 r
F P
s
P
p
.002 w
.45045 .73422 m .44251 .7181 L .43574 .72593 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.43574 .72593 m .44446 .74097 L .45045 .73422 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.52151 .8101 m .51655 .82258 L .51116 .82335 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.51655 .82258 m .52151 .8101 L .52796 .80817 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.41273 .59219 m .40649 .57517 L .37951 .59024 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.37951 .59024 m .38733 .60612 L .41273 .59219 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.47083 .78645 m .462 .77123 L .46248 .7761 L p
0 .017 .591 r
F P
s
P
p
.002 w
.46248 .7761 m .47117 .79029 L .47083 .78645 L p
0 .017 .591 r
F P
s
P
p
.002 w
.59073 .68987 m .59903 .6743 L .58392 .66389 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.59092 .64724 m .58392 .66389 L .59903 .6743 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.49077 .82068 m .48301 .80722 L .48861 .80941 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.48861 .80941 m .49451 .82212 L .49077 .82068 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.55133 .77319 m .56018 .75845 L .55729 .75258 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.56569 .73684 m .55729 .75258 L .56018 .75845 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.41897 .60921 m .41273 .59219 L .38733 .60612 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.38733 .60612 m .39517 .62202 L .41897 .60921 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.54055 .79178 m .53211 .80567 L .52796 .80817 L p
0 0 .082 r
F P
s
P
p
.002 w
.53211 .80567 m .54055 .79178 L .54244 .78799 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.55133 .77319 m .54244 .78799 L .54055 .79178 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.45841 .75037 m .45045 .73422 L .44446 .74097 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.44446 .74097 m .45322 .75607 L .45841 .75037 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.5824 .70549 m .59073 .68987 L .57691 .68055 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.58392 .66389 m .57691 .68055 L .59073 .68987 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.42521 .62624 m .41897 .60921 L .39517 .62202 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.39517 .62202 m .40302 .63796 L .42521 .62624 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.52796 .80817 m .52086 .8213 L .51655 .82258 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.52086 .8213 m .52796 .80817 L .53211 .80567 L p
0 0 .082 r
F P
s
P
p
.002 w
.43145 .64327 m .42521 .62624 L .40302 .63796 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.40302 .63796 m .41089 .65393 L .43145 .64327 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.57405 .72115 m .5824 .70549 L .56989 .69722 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.57691 .68055 m .56989 .69722 L .5824 .70549 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.47969 .80172 m .47083 .78645 L .47117 .79029 L p
0 .017 .591 r
F P
s
P
p
.002 w
.47117 .79029 m .47992 .80457 L .47969 .80172 L p
0 .017 .591 r
F P
s
P
p
.002 w
.48871 .81893 m .47992 .80457 L .48301 .80722 L p
.812 .359 0 r
F P
s
P
p
.002 w
.48301 .80722 m .49077 .82068 L .48871 .81893 L p
.812 .359 0 r
F P
s
P
p
.002 w
.54244 .78799 m .55133 .77319 L .54888 .76837 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.55729 .75258 m .54888 .76837 L .55133 .77319 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.46638 .76655 m .45841 .75037 L .45322 .75607 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.45322 .75607 m .462 .77123 L .46638 .76655 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.4377 .6603 m .43145 .64327 L .41089 .65393 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.41089 .65393 m .41877 .66993 L .4377 .6603 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.50298 .83545 m .49952 .82311 L .50528 .82353 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.50528 .82353 m .50587 .83566 L .50298 .83545 L p
.722 .39 .416 r
F P
s
P
p
.002 w
.50587 .83566 m .50528 .82353 L .51116 .82335 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.51116 .82335 m .50883 .83557 L .50587 .83566 L p
.638 .323 .422 r
F P
s
P
p
.002 w
.50883 .83557 m .51116 .82335 L .51655 .82258 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.50046 .83496 m .49451 .82212 L .49952 .82311 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.49952 .82311 m .50298 .83545 L .50046 .83496 L p
.799 .436 .37 r
F P
s
P
p
.002 w
.56569 .73684 m .57405 .72115 L .56287 .71391 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.56989 .69722 m .56287 .71391 L .57405 .72115 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.44394 .67734 m .4377 .6603 L .41877 .66993 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.41877 .66993 m .42667 .68595 L .44394 .67734 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.53211 .80567 m .52362 .81966 L .52086 .8213 L p
0 0 .082 r
F P
s
P
p
.002 w
.52362 .81966 m .53211 .80567 L .53351 .80287 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.54244 .78799 m .53351 .80287 L .53211 .80567 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.51655 .82258 m .51153 .83519 L .50883 .83557 L p
.529 .224 .394 r
F P
s
P
p
.002 w
.51153 .83519 m .51655 .82258 L .52086 .8213 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.47437 .78276 m .46638 .76655 L .462 .77123 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.462 .77123 m .47083 .78645 L .47437 .78276 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.49859 .83424 m .49077 .82068 L .49451 .82212 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.49451 .82212 m .50046 .83496 L .49859 .83424 L p
.866 .455 .245 r
F P
s
P
p
.002 w
.53351 .80287 m .54244 .78799 L .54044 .78419 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.54888 .76837 m .54044 .78419 L .54244 .78799 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.45019 .69438 m .44394 .67734 L .42667 .68595 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.42667 .68595 m .43458 .70201 L .45019 .69438 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.55729 .75258 m .56569 .73684 L .55584 .73061 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.56287 .71391 m .55584 .73061 L .56569 .73684 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.48858 .81706 m .47969 .80172 L .47992 .80457 L p
0 .017 .591 r
F P
s
P
p
.002 w
.47992 .80457 m .48871 .81893 L .48858 .81706 L p
0 .017 .591 r
F P
s
P
p
.002 w
.52086 .8213 m .51369 .83455 L .51153 .83519 L p
.354 .054 .31 r
F P
s
P
p
.002 w
.51369 .83455 m .52086 .8213 L .52362 .81966 L p
0 0 .082 r
F P
s
P
p
.002 w
.45644 .71143 m .45019 .69438 L .43458 .70201 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.43458 .70201 m .44251 .7181 L .45644 .71143 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.54888 .76837 m .55729 .75258 L .5488 .74733 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.55584 .73061 m .5488 .74733 L .55729 .75258 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.49757 .83338 m .48871 .81893 L .49077 .82068 L p
.812 .359 0 r
F P
s
P
p
.002 w
.49077 .82068 m .49859 .83424 L .49757 .83338 L p
.812 .359 0 r
F P
s
P
p
.002 w
.63283 .54765 m .6398 .5311 L .59895 .5153 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.48237 .79901 m .47437 .78276 L .47083 .78645 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.47083 .78645 m .47969 .80172 L .48237 .79901 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.46269 .72848 m .45644 .71143 L .44251 .7181 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.44251 .7181 m .45045 .73422 L .46269 .72848 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.62586 .56422 m .63283 .54765 L .59406 .5329 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.59895 .5153 m .59406 .5329 L .63283 .54765 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.52454 .81781 m .53351 .80287 L .53198 .80006 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.54044 .78419 m .53198 .80006 L .53351 .80287 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.53351 .80287 m .52454 .81781 L .52362 .81966 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.61889 .58079 m .62586 .56422 L .58917 .55049 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.59406 .5329 m .58917 .55049 L .62586 .56422 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.52362 .81966 m .51508 .83374 L .51369 .83455 L p
0 0 .082 r
F P
s
P
p
.002 w
.51508 .83374 m .52362 .81966 L .52454 .81781 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.6119 .59738 m .61889 .58079 L .58428 .56806 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.58917 .55049 m .58428 .56806 L .61889 .58079 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.54044 .78419 m .54888 .76837 L .54176 .76406 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.5488 .74733 m .54176 .76406 L .54888 .76837 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.46894 .74553 m .46269 .72848 L .45045 .73422 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.45045 .73422 m .45841 .75037 L .46894 .74553 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.60492 .61399 m .6119 .59738 L .5794 .58563 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.58428 .56806 m .5794 .58563 L .6119 .59738 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.49751 .83246 m .48858 .81706 L .48871 .81893 L p
0 .017 .591 r
F P
s
P
p
.002 w
.48871 .81893 m .49757 .83338 L .49751 .83246 L p
0 .017 .591 r
F P
s
P
p
.002 w
.49039 .81528 m .48237 .79901 L .47969 .80172 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.47969 .80172 m .48858 .81706 L .49039 .81528 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.59792 .63061 m .60492 .61399 L .57452 .60319 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.5794 .58563 m .57452 .60319 L .60492 .61399 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.47519 .76258 m .46894 .74553 L .45841 .75037 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.45841 .75037 m .46638 .76655 L .47519 .76258 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.50587 .83566 m .50647 .84792 L .50298 .83545 L closepath p
.722 .39 .416 r
F P
s
P
p
.002 w
.50883 .83557 m .50647 .84792 L .50587 .83566 L closepath p
.638 .323 .422 r
F P
s
P
p
.002 w
.51153 .83519 m .50647 .84792 L .50883 .83557 L closepath p
.529 .224 .394 r
F P
s
P
p
.002 w
.59092 .64724 m .59792 .63061 L .56964 .62073 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.57452 .60319 m .56964 .62073 L .59792 .63061 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.50298 .83545 m .50647 .84792 L .50046 .83496 L closepath p
.799 .436 .37 r
F P
s
P
p
.002 w
.53198 .80006 m .54044 .78419 L .53472 .7808 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.54176 .76406 m .53472 .7808 L .54044 .78419 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.51369 .83455 m .50647 .84792 L .51153 .83519 L closepath p
.354 .054 .31 r
F P
s
P
p
.002 w
.58392 .66389 m .59092 .64724 L .56476 .63827 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.56964 .62073 m .56476 .63827 L .59092 .64724 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.50046 .83496 m .50647 .84792 L .49859 .83424 L closepath p
.866 .455 .245 r
F P
s
P
p
.002 w
.51553 .83283 m .52454 .81781 L .5235 .81597 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.53198 .80006 m .5235 .81597 L .52454 .81781 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.52454 .81781 m .51553 .83283 L .51508 .83374 L p
.668 .837 .418 r
F P
s
P
p
.002 w
.48144 .77964 m .47519 .76258 L .46638 .76655 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.46638 .76655 m .47437 .78276 L .48144 .77964 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.57691 .68055 m .58392 .66389 L .55989 .65579 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.56476 .63827 m .55989 .65579 L .58392 .66389 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.51508 .83374 m .50647 .84792 L .51369 .83455 L closepath p
0 0 .082 r
F P
s
P
p
.002 w
.56989 .69722 m .57691 .68055 L .55502 .67331 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.55989 .65579 m .55502 .67331 L .57691 .68055 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.5235 .81597 m .53198 .80006 L .52766 .79756 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.53472 .7808 m .52766 .79756 L .53198 .80006 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.49859 .83424 m .50647 .84792 L .49757 .83338 L closepath p
.812 .359 0 r
F P
s
P
p
.002 w
.49842 .83158 m .49039 .81528 L .48858 .81706 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.48858 .81706 m .49751 .83246 L .49842 .83158 L p
.218 .303 .738 r
F P
s
P
p
.002 w
.4877 .79671 m .48144 .77964 L .47437 .78276 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.47437 .78276 m .48237 .79901 L .4877 .79671 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.56287 .71391 m .56989 .69722 L .55015 .69082 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.55502 .67331 m .55015 .69082 L .56989 .69722 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.51553 .83283 m .50647 .84792 L .51508 .83374 L closepath p
.668 .837 .418 r
F P
s
P
p
.002 w
.55584 .73061 m .56287 .71391 L .54529 .70831 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.55015 .69082 m .54529 .70831 L .56287 .71391 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.49757 .83338 m .50647 .84792 L .49751 .83246 L closepath p
0 .017 .591 r
F P
s
P
p
.002 w
.5488 .74733 m .55584 .73061 L .54042 .7258 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.54529 .70831 m .54042 .7258 L .55584 .73061 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.49395 .81377 m .4877 .79671 L .48237 .79901 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.48237 .79901 m .49039 .81528 L .49395 .81377 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.5235 .81597 m .515 .83192 L .51553 .83283 L p
.955 .947 .713 r
F P
s
P
p
.002 w
.515 .83192 m .5235 .81597 L .5206 .81433 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.52766 .79756 m .5206 .81433 L .5235 .81597 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.54176 .76406 m .5488 .74733 L .53557 .74327 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.54042 .7258 m .53557 .74327 L .5488 .74733 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.515 .83192 m .50647 .84792 L .51553 .83283 L closepath p
.955 .947 .713 r
F P
s
P
p
.002 w
.53472 .7808 m .54176 .76406 L .53071 .76074 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.53557 .74327 m .53071 .76074 L .54176 .76406 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.43775 .52859 m .4339 .51068 L .38778 .52413 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.38778 .52413 m .39402 .54114 L .43775 .52859 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.49751 .83246 m .50647 .84792 L .49842 .83158 L closepath p
.218 .303 .738 r
F P
s
P
p
.002 w
.4416 .54648 m .43775 .52859 L .39402 .54114 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.39402 .54114 m .40025 .55815 L .4416 .54648 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.50021 .83084 m .49395 .81377 L .49039 .81528 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.49039 .81528 m .49842 .83158 L .50021 .83084 L p
.447 .428 .745 r
F P
s
P
p
.002 w
.44545 .56435 m .4416 .54648 L .40025 .55815 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.40025 .55815 m .40649 .57517 L .44545 .56435 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.44929 .5822 m .44545 .56435 L .40649 .57517 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.40649 .57517 m .41273 .59219 L .44929 .5822 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.52766 .79756 m .53472 .7808 L .52586 .7782 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.53071 .76074 m .52586 .7782 L .53472 .7808 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.45313 .60004 m .44929 .5822 L .41273 .59219 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.41273 .59219 m .41897 .60921 L .45313 .60004 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.45696 .61786 m .45313 .60004 L .41897 .60921 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.41897 .60921 m .42521 .62624 L .45696 .61786 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.46079 .63566 m .45696 .61786 L .42521 .62624 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.42521 .62624 m .43145 .64327 L .46079 .63566 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.51354 .83112 m .50647 .84792 L .515 .83192 L closepath p
.916 .83 .746 r
F P
s
P
p
.002 w
.5206 .81433 m .51354 .83112 L .515 .83192 L p
.916 .83 .746 r
F P
s
P
p
.002 w
.46462 .65344 m .46079 .63566 L .43145 .64327 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.43145 .64327 m .4377 .6603 L .46462 .65344 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.5206 .81433 m .52766 .79756 L .52101 .79564 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.52586 .7782 m .52101 .79564 L .52766 .79756 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.46844 .67121 m .46462 .65344 L .4377 .6603 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.4377 .6603 m .44394 .67734 L .46844 .67121 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.47226 .68896 m .46844 .67121 L .44394 .67734 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.44394 .67734 m .45019 .69438 L .47226 .68896 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.47608 .70669 m .47226 .68896 L .45019 .69438 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.45019 .69438 m .45644 .71143 L .47608 .70669 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.49842 .83158 m .50647 .84792 L .50021 .83084 L closepath p
.447 .428 .745 r
F P
s
P
p
.002 w
.47989 .7244 m .47608 .70669 L .45644 .71143 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.45644 .71143 m .46269 .72848 L .47989 .7244 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.51354 .83112 m .5206 .81433 L .51616 .81308 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.52101 .79564 m .51616 .81308 L .5206 .81433 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.4837 .7421 m .47989 .7244 L .46269 .72848 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.46269 .72848 m .46894 .74553 L .4837 .7421 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.4875 .75978 m .4837 .7421 L .46894 .74553 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.46894 .74553 m .47519 .76258 L .4875 .75978 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.4913 .77744 m .4875 .75978 L .47519 .76258 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.47519 .76258 m .48144 .77964 L .4913 .77744 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.4951 .79509 m .4913 .77744 L .48144 .77964 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.48144 .77964 m .4877 .79671 L .4951 .79509 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.51131 .8305 m .50647 .84792 L .51354 .83112 L closepath p
.846 .734 .74 r
F P
s
P
p
.002 w
.51616 .81308 m .51131 .8305 L .51354 .83112 L p
.846 .734 .74 r
F P
s
P
p
.002 w
.49889 .81272 m .4951 .79509 L .4877 .79671 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.4877 .79671 m .49395 .81377 L .49889 .81272 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.50268 .83033 m .49889 .81272 L .49395 .81377 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.49395 .81377 m .50021 .83084 L .50268 .83033 L p
.57 .5 .737 r
F P
s
P
p
.002 w
.50021 .83084 m .50647 .84792 L .50268 .83033 L closepath p
.57 .5 .737 r
F P
s
P
p
.002 w
.50856 .83015 m .50647 .84792 L .51131 .8305 L closepath p
.781 .663 .733 r
F P
s
P
p
.002 w
.50557 .83008 m .50647 .84792 L .50856 .83015 L closepath p
.719 .607 .73 r
F P
s
P
p
.002 w
.50268 .83033 m .50647 .84792 L .50557 .83008 L closepath p
.653 .555 .731 r
F P
s
P
p
.002 w
.51131 .8305 m .51616 .81308 L .51064 .81235 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.51064 .81235 m .50856 .83015 L .51131 .8305 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.49889 .81272 m .50268 .83033 L .50557 .83008 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.51616 .81308 m .52101 .79564 L .51274 .79452 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.51274 .79452 m .51064 .81235 L .51616 .81308 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.50856 .83015 m .51064 .81235 L .50467 .81222 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.50467 .81222 m .50557 .83008 L .50856 .83015 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.50557 .83008 m .50467 .81222 L .49889 .81272 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.52101 .79564 m .52586 .7782 L .51483 .77667 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.51483 .77667 m .51274 .79452 L .52101 .79564 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.4951 .79509 m .49889 .81272 L .50467 .81222 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.52586 .7782 m .53071 .76074 L .51693 .7588 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.51693 .7588 m .51483 .77667 L .52586 .7782 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.51064 .81235 m .51274 .79452 L .50377 .79433 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.50377 .79433 m .50467 .81222 L .51064 .81235 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.53071 .76074 m .53557 .74327 L .51903 .7409 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.51903 .7409 m .51693 .7588 L .53071 .76074 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.50467 .81222 m .50377 .79433 L .4951 .79509 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.4913 .77744 m .4951 .79509 L .50377 .79433 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.53557 .74327 m .54042 .7258 L .52113 .72298 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.52113 .72298 m .51903 .7409 L .53557 .74327 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.50377 .79433 m .50286 .77641 L .4913 .77744 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.4875 .75978 m .4913 .77744 L .50286 .77641 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.54042 .7258 m .54529 .70831 L .52324 .70503 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.52324 .70503 m .52113 .72298 L .54042 .7258 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.51274 .79452 m .51483 .77667 L .50286 .77641 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.50286 .77641 m .50377 .79433 L .51274 .79452 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.54529 .70831 m .55015 .69082 L .52535 .68706 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.52535 .68706 m .52324 .70503 L .54529 .70831 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.50286 .77641 m .50196 .75847 L .4875 .75978 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.4837 .7421 m .4875 .75978 L .50196 .75847 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.55015 .69082 m .55502 .67331 L .52746 .66906 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.52746 .66906 m .52535 .68706 L .55015 .69082 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.51483 .77667 m .51693 .7588 L .50196 .75847 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.50196 .75847 m .50286 .77641 L .51483 .77667 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.55502 .67331 m .55989 .65579 L .52957 .65103 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.52957 .65103 m .52746 .66906 L .55502 .67331 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.50196 .75847 m .50105 .7405 L .4837 .7421 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.47989 .7244 m .4837 .7421 L .50105 .7405 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.55989 .65579 m .56476 .63827 L .53169 .63298 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.53169 .63298 m .52957 .65103 L .55989 .65579 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.50105 .7405 m .50014 .72249 L .47989 .7244 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.47608 .70669 m .47989 .7244 L .50014 .72249 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.56476 .63827 m .56964 .62073 L .53381 .61491 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.53381 .61491 m .53169 .63298 L .56476 .63827 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.51693 .7588 m .51903 .7409 L .50105 .7405 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.50105 .7405 m .50196 .75847 L .51693 .7588 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.56964 .62073 m .57452 .60319 L .53593 .59681 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.53593 .59681 m .53381 .61491 L .56964 .62073 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.50014 .72249 m .49924 .70447 L .47608 .70669 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.47226 .68896 m .47608 .70669 L .49924 .70447 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.57452 .60319 m .5794 .58563 L .53806 .57868 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.53806 .57868 m .53593 .59681 L .57452 .60319 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.51903 .7409 m .52113 .72298 L .50014 .72249 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.50014 .72249 m .50105 .7405 L .51903 .7409 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.5794 .58563 m .58428 .56806 L .54019 .56053 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.54019 .56053 m .53806 .57868 L .5794 .58563 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.49924 .70447 m .49833 .68641 L .47226 .68896 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.46844 .67121 m .47226 .68896 L .49833 .68641 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.58428 .56806 m .58917 .55049 L .54232 .54235 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.54232 .54235 m .54019 .56053 L .58428 .56806 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.58917 .55049 m .59406 .5329 L .54446 .52415 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.54446 .52415 m .54232 .54235 L .58917 .55049 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.52113 .72298 m .52324 .70503 L .49924 .70447 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.49924 .70447 m .50014 .72249 L .52113 .72298 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.49833 .68641 m .49741 .66833 L .46844 .67121 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.46462 .65344 m .46844 .67121 L .49741 .66833 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.59406 .5329 m .59895 .5153 L .5466 .50592 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.5466 .50592 m .54446 .52415 L .59406 .5329 L p
.781 .663 .733 r
F P
s
P
p
.002 w
.49741 .66833 m .4965 .65021 L .46462 .65344 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.46079 .63566 m .46462 .65344 L .4965 .65021 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.52324 .70503 m .52535 .68706 L .49833 .68641 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.49833 .68641 m .49924 .70447 L .52324 .70503 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.4965 .65021 m .49559 .63207 L .46079 .63566 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.45696 .61786 m .46079 .63566 L .49559 .63207 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.52535 .68706 m .52746 .66906 L .49741 .66833 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.49741 .66833 m .49833 .68641 L .52535 .68706 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.49559 .63207 m .49467 .61391 L .45696 .61786 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.45313 .60004 m .45696 .61786 L .49467 .61391 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.49467 .61391 m .49375 .59571 L .45313 .60004 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.44929 .5822 m .45313 .60004 L .49375 .59571 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.52746 .66906 m .52957 .65103 L .4965 .65021 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.4965 .65021 m .49741 .66833 L .52746 .66906 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.49375 .59571 m .49283 .57748 L .44929 .5822 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.44545 .56435 m .44929 .5822 L .49283 .57748 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.52957 .65103 m .53169 .63298 L .49559 .63207 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.49559 .63207 m .4965 .65021 L .52957 .65103 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.49283 .57748 m .49191 .55923 L .44545 .56435 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.4416 .54648 m .44545 .56435 L .49191 .55923 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.49191 .55923 m .49099 .54095 L .4416 .54648 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.43775 .52859 m .4416 .54648 L .49099 .54095 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.53169 .63298 m .53381 .61491 L .49467 .61391 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.49467 .61391 m .49559 .63207 L .53169 .63298 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.49099 .54095 m .49007 .52264 L .43775 .52859 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.4339 .51068 m .43775 .52859 L .49007 .52264 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.53381 .61491 m .53593 .59681 L .49375 .59571 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.49375 .59571 m .49467 .61391 L .53381 .61491 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.49007 .52264 m .48914 .5043 L .4339 .51068 L p
.653 .555 .731 r
F P
s
P
p
.002 w
.53593 .59681 m .53806 .57868 L .49283 .57748 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.49283 .57748 m .49375 .59571 L .53593 .59681 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.53806 .57868 m .54019 .56053 L .49191 .55923 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.49191 .55923 m .49283 .57748 L .53806 .57868 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.54019 .56053 m .54232 .54235 L .49099 .54095 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.49099 .54095 m .49191 .55923 L .54019 .56053 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.54232 .54235 m .54446 .52415 L .49007 .52264 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.49007 .52264 m .49099 .54095 L .54232 .54235 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.54446 .52415 m .5466 .50592 L .48914 .5043 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.48914 .5043 m .49007 .52264 L .54446 .52415 L p
.719 .607 .73 r
F P
s
P
p
.002 w
.0886 .03539 m
.02734 .82027 L
s
.02734 .82027 m
.97266 .81539 L
s
.97266 .81539 m
.91276 .02734 L
s
.91276 .02734 m
.0886 .03539 L
s
P
p
p
.002 w
.0886 .03539 m
.91276 .02734 L
s
P
P
p
p
.002 w
.02734 .82027 m
.15923 1.04142 L
s
P
P
p
P
% End of Graphics
MathPictureEnd
:[font = section; inactive; preserveAspect; endGroup; animationSpeed = 19]
Were you correct in your original prediction?
Can you name the figure formed when you rotate an equilateral triangle about one of its altituded?
You got it. It is a cone!!
:[font = input; preserveAspect]
:[font = section; inactive; preserveAspect]
Lesson 2 Volume and Surface Area
Can you find the volume of this figure? What kind of
information is necessary for this calculation?
Find the volume of this geometric figure if the side of the
original equilateral triangle is 10 cm
^*)