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EvaluationNotebook[ ], All, ButtonCell], FrontEndToken[ "OpenCloseGroup"]}]&)], TextForm]], "Subsection", Active->True, ButtonBoxOptions->{ButtonFrame->"None"}], Cell["\<\ Balance Regularity and Randomness to create an attractive \ image\ \>", "Rule"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ FormBox[ ButtonBox[\(Marketing\ Claim\ 1\), ButtonFunction:>(FrontEndExecute[ { SelectionMove[ EvaluationNotebook[ ], All, ButtonCell], FrontEndToken[ "OpenCloseGroup"]}]&)], TextForm]], "Subsection", Active->True, ButtonBoxOptions->{ButtonFrame->"None"}], Cell[TextData[{ "No software on the market ", StyleBox["artificially generates", FontSlant->"Italic"], " attractive images" }], "Rule"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ FormBox[ ButtonBox[\(Marketing\ Claim\ 2\), ButtonFunction:>(FrontEndExecute[ { SelectionMove[ EvaluationNotebook[ ], All, ButtonCell], FrontEndToken[ "OpenCloseGroup"]}]&)], TextForm]], "Subsection", Active->True, ButtonBoxOptions->{ButtonFrame->"None"}], Cell["Marketing Claim 1 is false", "Rule"], Cell[TextData[{ "Starting from June 18, 1998 (the day the Worldwide ", StyleBox["Mathematica", FontSlant->"Italic"], " Conference opened), ", StyleBox["Artlandia", FontSlant->"Italic"], " is available on the WWW as a commercial product (", ButtonBox["http://www.artlandia.com/", ButtonData:>{ URL[ "http://www.artlandia.com/"], None}, ButtonStyle->"Hyperlink"], ButtonBox[")."] }], "Text"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ FormBox[ ButtonBox["Disclaimer", ButtonFunction:>(FrontEndExecute[ { SelectionMove[ EvaluationNotebook[ ], All, ButtonCell], FrontEndToken[ "OpenCloseGroup"]}]&)], TextForm]], "Subsection", Active->True, ButtonBoxOptions->{ButtonFrame->"None"}], Cell[TextData[{ "WRI should not be held responsible for any drawbacks in the software, \ since ", StyleBox["Artlandia", FontSlant->"Italic"], " is my hobby project." }], "Text"], Cell[TextData[{ "I do wish to take this opportunity, though, and thank WRI for its \ encouraging interest to the project from its inception and gracious marketing \ support and I hope we will soon be distributing ", StyleBox["Artlandia", FontSlant->"Italic"], " together." }], "Text"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ FormBox[ ButtonBox[ \(Applications : \ Who\ needs\ artificially\ generated\ images\ \(anyway?\)\), ButtonFunction:>(FrontEndExecute[ { SelectionMove[ EvaluationNotebook[ ], All, ButtonCell], FrontEndToken[ "OpenCloseGroup"]}]&)], TextForm]], "Subsection", Active->True, ButtonBoxOptions->{ButtonFrame->"None"}], Cell[CellGroupData[{ Cell[BoxData[ FormBox[ ButtonBox[\(Who\ said\ \("\"?\)\), ButtonFunction:>(FrontEndExecute[ { SelectionMove[ EvaluationNotebook[ ], All, ButtonCell], FrontEndToken[ "OpenCloseGroup"]}]&)], TextForm]], "Subsubsection",\ Active->True, ShowStringCharacters->True, ButtonBoxOptions->{ButtonFrame->"None"}], Cell[TextData[ "Sources may and do come from natural sources\[LongDash]experimental or \ simulated data or 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"], "Text"], Cell["Or heart beat data. ", "Text"], Cell["Or music.", "Text"], Cell[TextData[{ "See below re ", StyleBox["kinds", FontSlant->"Italic"], " of processes. " }], "Text"], Cell[TextData[{ "In fact, data may be ", StyleBox["arbitrary", FontSize->14], " (example: graphical interpretation of the words \"scientific data \ management\"\[LongDash]an artwork that appeared on the cover of magazine ", ButtonBox["http://www.artlandia.com/covers/SDM", ButtonData:>{ URL[ "http://www.artlandia.com/covers/SDM"], None}, ButtonStyle->"Hyperlink"], ")." }], "Text"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ FormBox[ ButtonBox[\(Market\ \((for\ the\ designs\ in\ the\ narrow\ sense)\)\), ButtonFunction:>(FrontEndExecute[ { SelectionMove[ EvaluationNotebook[ ], All, ButtonCell], FrontEndToken[ "OpenCloseGroup"]}]&)], TextForm]], "Subsubsection",\ Active->True, ShowStringCharacters->True, ButtonBoxOptions->{ButtonFrame->"None"}], Cell["\<\ It turns out that, even barring the imaginary applications, there already \ exists a market for \"artificial\" designs in textiles, wallpaper, carpeting, \ gift wrap, etc...\ \>", "Text"], Cell[TextData[{ "In fact, we've built a small business around such designs, Artlandia, Inc.\ \[LongDash]and a very ", StyleBox["positive", FontSize->14], " acceptance of ", StyleBox["Artlandia", FontSlant->"Italic"], " designs by the market has encouraged us to further develop our graphic \ techniques into a marketable software product and bring ", StyleBox["Artlandia", FontSlant->"Italic"], " to the market." }], "Text"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ FormBox[ ButtonBox[\(People\ create\ as\ they\ live ... \), ButtonFunction:>(FrontEndExecute[ { SelectionMove[ EvaluationNotebook[ ], All, ButtonCell], FrontEndToken[ "OpenCloseGroup"]}]&)], TextForm]], "Subsubsection",\ Active->True, ShowStringCharacters->True, ButtonBoxOptions->{ButtonFrame->"None"}], Cell[TextData[{ "Generating graphics with a mathematical tool is as good a hobby as \ painting... and we've decided to price the first version of ", StyleBox["Artlandia", FontSlant->"Italic"], " so that it'll be within an easy reach for ", StyleBox["hobbyists", FontSize->14], "... although ", StyleBox["Artlandia", FontSlant->"Italic"], " is a ", StyleBox["professional", FontSlant->"Italic"], " tool." }], "Text"] }, Open ]] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ FormBox[ ButtonBox[\(Basic\ Steps\), ButtonFunction:>(FrontEndExecute[ { SelectionMove[ EvaluationNotebook[ ], All, ButtonCell], FrontEndToken[ "OpenCloseGroup"]}]&)], TextForm]], "Section", Active->True, ButtonBoxOptions->{ButtonFrame->"None"}], Cell[CellGroupData[{ Cell[BoxData[ FormBox[ ButtonBox[\(Types\ of\ random\ processes\), ButtonFunction:>(FrontEndExecute[ { SelectionMove[ EvaluationNotebook[ ], All, ButtonCell], FrontEndToken[ "OpenCloseGroup"]}]&)], TextForm]], "Subsection", Active->True, ButtonBoxOptions->{ButtonFrame->"None"}], Cell[CellGroupData[{ Cell[BoxData[ FormBox[ ButtonBox[\(Basic\ \(Types\ of\ Random\ Processes\)\), ButtonFunction:>(FrontEndExecute[ { SelectionMove[ EvaluationNotebook[ ], All, ButtonCell], FrontEndToken[ 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0.6875}} -> {-34.6279, -0.0525765, 0.108388, 0.0367616}, {{329.875, 339.562}, {29.25, 0.6875}} -> {-35.7796, -0.0525765, 0.108388, 0.0367616}, {{340.5, 350.188}, {29.25, 0.6875}} -> {-36.9312, -0.0525765, 0.108388, 0.0367616}, {{351.188, 360.875}, {29.25, 0.6875}} -> {-38.0896, -0.0525765, 0.108388, 0.0367616}, {{361.812, 371.5}, {29.25, 0.6875}} -> {-39.2412, -0.0525765, 0.108388, 0.0367616}, {{372.438, 382.125}, {29.25, 0.6875}} -> {-40.3928, -0.0525765, 0.108388, 0.0367616}, {{383.125, 392.75}, {29.25, 0.6875}} -> {-41.8209, -0.0525765, 0.109092, 0.0367616}, {{ 393.75, 403.438}, {29.25, 0.6875}} -> {-42.7029, -0.0525765, 0.108388, 0.0367616}, {{404.375, 414.062}, {29.25, 0.6875}} -> {-43.8545, -0.0525765, 0.108388, 0.0367616}, {{415, 424.688}, {29.25, 0.6875}} -> {-45.0061, -0.0525765, 0.108388, 0.0367616}, {{425.688, 435.375}, {29.25, 0.6875}} -> {-46.1645, -0.0525765, 0.108388, 0.0367616}}] }, Open ]] }, Open ]] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ FormBox[ ButtonBox[\("\"\ Truchets\), ButtonFunction:>(FrontEndExecute[ { SelectionMove[ EvaluationNotebook[ ], All, ButtonCell], FrontEndToken[ "OpenCloseGroup"]}]&)], TextForm]], "Section", Active->True, ShowStringCharacters->True, ButtonBoxOptions->{ButtonFrame->"None"}], Cell[TextData[{ "As a more practical illustration we consider random ", StyleBox["Truchet", FontSlant->"Italic"], " patterns, those based on the Sebastien Truchet's tiling (see, ", StyleBox["e.g.", FontSlant->"Italic"], ", E.H.\[NonBreakingSpace]Gombrich, ", StyleBox["The Sense of Order", FontSlant->"Italic"], ". Cornell University Press, Ithaca, New York: 1979). We will define a \ Truchet function that creates two types of tiles, each formed by a pair of \ quarter circles. Depending on the value of the first argument, which can be \ either 0 or 1, the centers of the arcs are arranged either top left and lower \ right, or top right and lower left. (", StyleBox["Mathematica", FontSlant->"Italic"], " implementation after Paul Abbott.)" }], "Text"], Cell["This defines the Truchet function.", "Commentary"], Cell[BoxData[ \(Truchet[0, {x_, y_}] := { Circle[{x, y + 1}, 1\/2, {\(-\(\[Pi]\/2\)\), 0}], Circle[{x + 1, y}, 1\/2, {\[Pi]\/2, \[Pi]}]}\)], "Input"], Cell[BoxData[ \(Truchet[1, {x_, y_}] := {Circle[{x, y}, 1\/2, {0, \[Pi]\/2}], Circle[{x + 1, y + 1}, 1\/2, {\[Pi], \(3\ \[Pi]\)\/2}]}\)], "Input"], Cell["Here are the two tiles.", "Commentary"], Cell[CellGroupData[{ Cell[BoxData[ \(\(Show[ GraphicsArray[ \(Graphics[Truchet[#, {0, 0}], AspectRatio \[Rule] 1]&\)/@{0, 1}], GraphicsSpacing \[Rule] .1]; \)\)], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .47619 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont 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Here are the mazes brought about by the RandomArray, NaturalArray, and \ RandomWalkArray functions. Notice that the RandomArray maze has on average \ the shortest and the RandomWalkArray ones the longest connected paths.\ \>", "Commentary"], Cell[CellGroupData[{ Cell[BoxData[ \(\(\(Show[ Graphics[ TruchetMatrix[ ArrayOf[{0, 1}, {30, 30}, GeneratingFunction \[Rule] #]], AspectRatio \[Rule] Automatic]]&\)/@{RandomArray, NaturalArray, RandomWalkArray}; \)\)], "Input"], Cell[CellGroupData[{ Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 1 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0.0238095 0.030722 0.0238095 0.030722 [ [ 0 0 0 0 ] [ 1 1 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 1 L 0 1 L closepath clip newpath 0 g .5 Mabswid [ ] 0 setdash newpath .05453 .08525 .01536 -90 0 arc s newpath .08525 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.01536 90 180 arc s newpath .45392 .4232 .01536 -90 0 arc s newpath .48464 .39247 .01536 90 180 arc s newpath .45392 .4232 .01536 0 90 arc s newpath .48464 .45392 .01536 180 270 arc s newpath .45392 .48464 .01536 -90 0 arc s newpath .48464 .45392 .01536 90 180 arc s newpath .45392 .51536 .01536 -90 0 arc s newpath .48464 .48464 .01536 90 180 arc s newpath .45392 .51536 .01536 0 90 arc s newpath .48464 .54608 .01536 180 270 arc s newpath .45392 .54608 .01536 0 90 arc s newpath .48464 .5768 .01536 180 270 arc s newpath .45392 .5768 .01536 0 90 arc s newpath .48464 .60753 .01536 180 270 arc s newpath .45392 .63825 .01536 -90 0 arc s newpath .48464 .60753 .01536 90 180 arc s newpath .45392 .63825 .01536 0 90 arc s newpath .48464 .66897 .01536 180 270 arc s newpath .45392 .66897 .01536 0 90 arc s newpath .48464 .69969 .01536 180 270 arc s newpath .45392 .69969 .01536 0 90 arc s newpath .48464 .73041 .01536 180 270 arc s newpath .45392 .76114 .01536 -90 0 arc s newpath .48464 .73041 .01536 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arc s newpath .33103 .94547 .01536 0 90 arc s newpath .36175 .97619 .01536 180 270 arc s newpath .36175 .05453 .01536 0 90 arc s newpath .39247 .08525 .01536 180 270 arc s newpath .36175 .11598 .01536 -90 0 arc s newpath .39247 .08525 .01536 90 180 arc s newpath .36175 .11598 .01536 0 90 arc s newpath .39247 .1467 .01536 180 270 arc s newpath .36175 .17742 .01536 -90 0 arc s newpath .39247 .1467 .01536 90 180 arc s newpath .36175 .20814 .01536 -90 0 arc s newpath .39247 .17742 .01536 90 180 arc s newpath .36175 .23886 .01536 -90 0 arc s newpath .39247 .20814 .01536 90 180 arc s newpath .36175 .23886 .01536 0 90 arc s newpath .39247 .26959 .01536 180 270 arc s newpath .36175 .26959 .01536 0 90 arc s newpath .39247 .30031 .01536 180 270 arc s newpath .36175 .33103 .01536 -90 0 arc s newpath .39247 .30031 .01536 90 180 arc s newpath .36175 .36175 .01536 -90 0 arc s newpath .39247 .33103 .01536 90 180 arc s newpath .36175 .39247 .01536 -90 0 arc s newpath .39247 .36175 .01536 90 180 arc s 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ImageMargins->{{43, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg"], ImageRangeCache->{{{0, 287}, {287, 0}} -> {-0.775161, -0.775161, 0.113416, 0.113416}}] }, Open ]] }, Open ]], Cell[TextData[{ "Several similar \"natural\" mazes of different periods, one overlaid on \ the other, lead to a beautiful lace image that appears in Graphica 2. Here is \ the algorithm to generate a simplified lace that consists of ", StyleBox["n", FontSlant->"Italic"], " = 12 tilings. ", StyleBox["Artlandia", FontSlant->"Italic"], " users can reproduce the larger image in the book with ", StyleBox["n", FontSlant->"Italic"], " = 30. " }], "Text"], Cell[BoxData[ \(\(n = 30; \)\)], "Input"], Cell["\<\ The color palette for the pattern consists of a spectrum of n shades from \ RGBColor[.8,1,1] (a very light blue) to the white color. Note that, by \ default, the Shades function automatically creates the natural distribution \ of colors in the given color range.\ \>", "Text"], Cell[BoxData[ \(\(colors = Shades[{RGBColor[ .8, 1, 1], White}, n]; \)\)], "Input"], Cell["\<\ Here is the superposition of n tilings of different scales combined in one \ image; the coarser tilings are drawn with thicker lines.\ \>", "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(\(Show[ CombineGraphics[ MapThread[ Graphics[{AbsoluteThickness[10. \/#], #2, TruchetMatrix[ArrayOf[{0, 1}, {#, #}]]}, AspectRatio \[Rule] 1, PlotRange \[Rule] All]&, { Round[NaturalArray[n, {5, 20}\ \ ]], colors}], Background \[Rule] CornflowerBlue, ToSameSize \[Rule] Automatic], AspectRatio \[Rule] 1]; \)\)], "Input"], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: 1 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font 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book. The tools have been \ created to operate on layers of graphics objects as well as on individual \ primitives. Common operations are automated, such as adding a \ \"controllable\" randomness, spreading numerical arrays along and across \ lines or on the plane, color coordination, etc. Geometric utilities, such as \ creating wallpaper patterns from an arbitrary graphics are in the package, \ too.", FontSize->14] }], "Text"], Cell[TextData[{ StyleBox["With ", FontSize->14], StyleBox["Artlandia", FontSize->14, FontSlant->"Italic"], StyleBox[ ", you can now create by thinking on the level of image primitives, without \ boggling down in the chores of implementation.", FontSize->14] }], "Text"] }, Open ]], Cell[CellGroupData[{ Cell[TextData[{ "Drum Roll... 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CounterAssignments->{{"Section", 0}, {"Equation", 0}, {"Figure", 0}, { "Subtitle", 0}, {"Subsubtitle", 0}}, FontFamily->"Helvetica", FontSize->36, FontWeight->"Bold"], Cell[StyleData["Title", "Presentation"], ShowCellBracket->False, CellMargins->{{0, 100}, {0, 0}}, CellFrameMargins->{{30, 100}, {10, 20}}, AutoIndent->False, LineSpacing->{0, 44}, FontSize->40, FontColor->GrayLevel[1], Background->RGBColor[0.812512, 0, 0]], Cell[StyleData["Title", "Condensed"], CellMargins->{{8, 10}, {4, 8}}, FontSize->20], Cell[StyleData["Title", "Printout"], CellFrame->{{0, 0}, {0.25, 0}}, CellMargins->{{10, 10}, {12, 30}}, CellFrameMargins->2, FontSize->26] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Subtitle"], CellMargins->{{40, Inherited}, {20, 15}}, CellGroupingRules->{"TitleGrouping", 10}, PageBreakBelow->False, CounterIncrements->"Subtitle", CounterAssignments->{{"Section", 0}, {"Equation", 0}, {"Figure", 0}, { "Subsubtitle", 0}}, FontFamily->"Helvetica", FontSize->24], Cell[StyleData["Subtitle", "Presentation"], ShowCellBracket->False, CellMargins->{{98, 0}, {20, 0}}, CellFrameMargins->{{10, 4}, {4, 6}}, AutoIndent->False, LineSpacing->{0, 34}, FontSize->30, Background->RGBColor[0.833814, 0.797284, 0.0792248]], Cell[StyleData["Subtitle", "Condensed"], CellMargins->{{8, 10}, {4, 4}}, FontSize->14], Cell[StyleData["Subtitle", "Printout"], CellMargins->{{40, 10}, {1, 0}}, FontSize->18] }, Open ]], Cell[CellGroupData[{ Cell[StyleData["Author"], CellMargins->{{100, Inherited}, {20, 0}}, CellGroupingRules->{"TitleGrouping", 20}, PageBreakBelow->False, CounterIncrements->"Subsubtitle", CounterAssignments->{{"Section", 0}, {"Equation", 0}, {"Figure", 0}}, FontFamily->"Helvetica", FontSize->14, FontSlant->"Italic"], Cell[StyleData["Author", "Presentation"], CellFrame->{{0, 0}, {2, 0}}, ShowCellBracket->False, CellMargins->{{98, 0}, {60, 10}}, CellFrameMargins->{{4, 4}, {2, 8}}, LineSpacing->{1, 0}, FontSize->22, FontColor->GrayLevel[0]], Cell[StyleData["Author", "Condensed"], CellMargins->{{8, 10}, {8, 8}}, FontSize->12], Cell[StyleData["Author", "Printout"], CellMargins->{{40, 10}, {60, 8}}, FontSize->14] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Section"], CellDingbat->"\[FilledSquare]", CellMargins->{{25, Inherited}, {8, 24}}, CellGroupingRules->{"SectionGrouping", 30}, PageBreakBelow->False, CounterIncrements->"Section", CounterAssignments->{{"Subsection", 0}, {"Subsubsection", 0}}, FontFamily->"Helvetica", FontSize->16, FontWeight->"Bold"], Cell[StyleData["Section", "Presentation"], CellFrame->{{0, 0}, {0, 2}}, CellDingbat->None, CellMargins->{{40, 22}, {0, 30}}, CellFrameMargins->{{99, 0}, {1, 4}}, CellFrameColor->RGBColor[0.708598, 0.00158694, 0.047715], CellFrameLabelMargins->{{4, 4}, {0, 2}}, LineSpacing->{1, 0}, FontSize->24], Cell[StyleData["Section", "Condensed"], CellMargins->{{18, Inherited}, {6, 12}}, FontSize->12], Cell[StyleData["Section", "Printout"], CellFrame->{{0, 0}, {0, 0.5}}, CellDingbat->None, CellMargins->{{10, 0}, {4, 22}}, CellFrameMargins->3, FontSize->14] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Subsection"], CellMargins->{{22, Inherited}, {8, 20}}, CellGroupingRules->{"SectionGrouping", 40}, PageBreakBelow->False, CounterIncrements->"Subsection", CounterAssignments->{{"Subsubsection", 0}}, FontSize->14, FontWeight->"Bold"], Cell[StyleData["Subsection", "Presentation"], CellFrame->{{0, 0}, {0, 2}}, CellMargins->{{40, 22}, {0, 30}}, CellFrameMargins->{{0, 0}, {0, 2}}, CellFrameColor->GrayLevel[1], LineSpacing->{1, 0}, FontSize->22], Cell[StyleData["Subsection", "Condensed"], CellMargins->{{16, Inherited}, {6, 12}}, FontSize->12], Cell[StyleData["Subsection", "Printout"], CellFrame->{{0, 0}, {0, 0.5}}, CellMargins->{{10, 0}, {0, 22}}, CellFrameMargins->3, FontSize->12] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Subsubsection"], CellDingbat->"\[FilledSmallSquare]", CellMargins->{{22, Inherited}, {8, 18}}, CellGroupingRules->{"SectionGrouping", 50}, PageBreakBelow->False, CounterIncrements->"Subsubsection", FontWeight->"Bold"], Cell[StyleData["Subsubsection", "Presentation"], CellMargins->{{99, 60}, {0, 26}}, LineSpacing->{1, 0}, FontSize->18], Cell[StyleData["Subsubsection", "Condensed"], CellMargins->{{17, Inherited}, {6, 12}}, FontSize->10], Cell[StyleData["Subsubsection", "Printout"], CellMargins->{{40, 0}, {0, 25}}, FontSize->11] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Rule"], CellMargins->{{10, Inherited}, {8, 18}}, PageBreakBelow->False], Cell[StyleData["Rule", "Presentation"], CellFrame->{{0, 0}, {3, 0}}, CellMargins->{{99, 60}, {0, 40}}, CellFrameMargins->False, LineSpacing->{1, 0}, FontSize->18], Cell[StyleData["Rule", "Condensed"], CellMargins->{{17, Inherited}, {6, 12}}, FontSize->10], Cell[StyleData["Rule", "Printout"], CellMargins->{{10, 0}, {7, 14}}, FontSize->11] }, Closed]] }, Open ]], Cell[CellGroupData[{ Cell["Styles for Body Text", "Section"], Cell[CellGroupData[{ Cell[StyleData["Text"], CellMargins->{{12, 10}, {7, 7}}, LineSpacing->{1, 3}, CounterIncrements->"Text"], Cell[StyleData["Text", "Presentation"], CellMargins->{{99, 22}, {10, 10}}, TextAlignment->Left, TextJustification->0, LineSpacing->{1, 3}, FontSize->16], Cell[StyleData["Text", "Condensed"], CellMargins->{{8, 10}, {6, 6}}, LineSpacing->{1, 1}], Cell[StyleData["Text", "Printout"], CellMargins->{{40, 2}, {6, 6}}, TextJustification->0.5] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["SmallText"], CellMargins->{{12, 10}, {6, 6}}, LineSpacing->{1, 3}, CounterIncrements->"SmallText", FontFamily->"Helvetica", FontSize->9], Cell[StyleData["SmallText", "Presentation"], CellMargins->{{119, 22}, {10, 10}}, LineSpacing->{1, 5}, FontSize->12, FontColor->RGBColor[0.0899214, 0.182635, 0.460777]], Cell[StyleData["SmallText", "Condensed"], CellMargins->{{8, 10}, {5, 5}}, LineSpacing->{1, 2}, FontSize->9], Cell[StyleData["SmallText", "Printout"], CellMargins->{{50, 2}, {5, 5}}, TextJustification->0.5, FontSize->7] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Styles for Input/Output", "Section"], Cell["\<\ The cells in this section define styles used for input and output to the \ kernel. Be careful when modifying, renaming, or removing these styles, \ because the front end associates special meanings with these style names. \ Some attributes for these styles are actually set in FormatType Styles (in \ the last section of this stylesheet). \ \>", "Text"], Cell[CellGroupData[{ Cell[StyleData["Input"], CellMargins->{{45, 10}, {5, 7}}, Evaluatable->True, CellGroupingRules->"InputGrouping", CellHorizontalScrolling->True, PageBreakWithin->False, GroupPageBreakWithin->False, CellLabelMargins->{{11, Inherited}, {Inherited, Inherited}}, DefaultFormatType->DefaultInputFormatType, AutoItalicWords->{}, FormatType->InputForm, ShowStringCharacters->True, NumberMarks->True, LinebreakAdjustments->{0.85, 2, 10, 0, 1}, CounterIncrements->"Input", FontWeight->"Bold"], Cell[StyleData["Input", "Presentation"], CellMargins->{{99, 45}, {0, 10}}, CellFrameMargins->12, LineSpacing->{1, 0}, FontSize->16, FontColor->GrayLevel[1], Background->RGBColor[0.28748, 0.378042, 0.556527], ButtonBoxOptions->{ButtonMinHeight->0.125, ButtonMargins->9, Background->RGBColor[0.665293, 0.0723888, 0.101137]}], Cell[StyleData["Input", "Condensed"], CellMargins->{{40, 10}, {2, 3}}], Cell[StyleData["Input", "Printout"], CellFrame->True, CellMargins->{{40, 0}, {0, 6}}, LinebreakAdjustments->{0.85, 2, 10, 1, 1}, FontSize->9, Background->GrayLevel[0.849989]] }, Closed]], Cell[StyleData["InputOnly"], CellMargins->{{99, Inherited}, {Inherited, Inherited}}, Evaluatable->True, CellGroupingRules->"InputGrouping", CellHorizontalScrolling->True, DefaultFormatType->DefaultInputFormatType, AutoItalicWords->{}, FormatType->InputForm, ShowStringCharacters->True, NumberMarks->True, LinebreakAdjustments->{0.85, 2, 10, 0, 1}, CounterIncrements->"Input", StyleMenuListing->None, FontWeight->"Bold"], Cell[StyleData["InputWord"], CellMargins->{{99, Inherited}, {Inherited, Inherited}}, CellGroupingRules->"InputGrouping", AutoItalicWords->{}, FormatType->InputForm, FontWeight->"Bold"], Cell[CellGroupData[{ Cell[StyleData["Output"], CellMargins->{{47, 10}, {7, 5}}, CellEditDuplicate->True, CellGroupingRules->"OutputGrouping", CellHorizontalScrolling->True, PageBreakWithin->False, GroupPageBreakWithin->False, GeneratedCell->True, CellAutoOverwrite->True, CellLabelMargins->{{11, Inherited}, {Inherited, Inherited}}, DefaultFormatType->DefaultOutputFormatType, AutoItalicWords->{}, FormatType->InputForm, CounterIncrements->"Output"], Cell[StyleData["Output", "Presentation"], CellMargins->{{99, 45}, {10, 0}}, CellFrameMargins->12, LineSpacing->{1, 0}, FontSize->16, Background->RGBColor[0.978958, 0.959915, 0.622477]], Cell[StyleData["Output", "Condensed"], CellMargins->{{41, Inherited}, {3, 2}}], Cell[StyleData["Output", "Printout"], CellFrame->True, CellMargins->{{40, 0}, {6, 0}}, FontSize->9] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Message"], CellMargins->{{45, Inherited}, {Inherited, Inherited}}, CellGroupingRules->"OutputGrouping", PageBreakWithin->False, GroupPageBreakWithin->False, GeneratedCell->True, CellAutoOverwrite->True, ShowCellLabel->False, CellLabelMargins->{{11, Inherited}, {Inherited, Inherited}}, DefaultFormatType->DefaultOutputFormatType, AutoItalicWords->{}, FormatType->InputForm, CounterIncrements->"Message", StyleMenuListing->None, FontColor->RGBColor[0, 0, 1]], Cell[StyleData["Message", "Presentation"], CellMargins->{{99, 45}, {Inherited, Inherited}}, CellFrameMargins->12, LineSpacing->{1, 0}, FontColor->RGBColor[0.694072, 0.204471, 0.227802], Background->RGBColor[0.963821, 0.948333, 0.891249]], Cell[StyleData["Message", "Condensed"], CellMargins->{{41, Inherited}, {Inherited, Inherited}}], Cell[StyleData["Message", "Printout"], CellMargins->{{40, Inherited}, {Inherited, Inherited}}, FontSize->8, FontColor->GrayLevel[0]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Print"], CellMargins->{{45, Inherited}, {Inherited, Inherited}}, CellGroupingRules->"OutputGrouping", CellHorizontalScrolling->True, PageBreakWithin->False, GroupPageBreakWithin->False, GeneratedCell->True, CellAutoOverwrite->True, ShowCellLabel->False, CellLabelMargins->{{11, Inherited}, {Inherited, Inherited}}, DefaultFormatType->DefaultOutputFormatType, AutoItalicWords->{}, FormatType->InputForm, CounterIncrements->"Print", StyleMenuListing->None], Cell[StyleData["Print", "Presentation"], CellMargins->{{99, 45}, {0, 0}}, CellFrameMargins->{{12, 12}, {2, 2}}, LineSpacing->{1, 0}, Background->GrayLevel[1]], Cell[StyleData["Print", "Condensed"], CellMargins->{{41, Inherited}, {Inherited, Inherited}}], Cell[StyleData["Print", "Printout"], CellMargins->{{50, Inherited}, {Inherited, Inherited}}, FontSize->8] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["Graphics"], CellMargins->{{4, Inherited}, {Inherited, Inherited}}, CellGroupingRules->"GraphicsGrouping", CellHorizontalScrolling->True, PageBreakWithin->False, GeneratedCell->True, CellAutoOverwrite->True, ShowCellLabel->False, DefaultFormatType->DefaultOutputFormatType, FormatType->InputForm, CounterIncrements->"Graphics", ImageMargins->{{43, Inherited}, {Inherited, 0}}, StyleMenuListing->None], Cell[StyleData["Graphics", "Presentation"], CellMargins->{{99, 45}, {10, 0}}, Background->RGBColor[0.978958, 0.959915, 0.622477]], Cell[StyleData["Graphics", "Condensed"], ImageMargins->{{38, Inherited}, {Inherited, 0}}, Magnification->0.6], Cell[StyleData["Graphics", "Printout"], CellFrame->True, CellMargins->{{40, 0}, {0, -1}}, ImageMargins->{{40, Inherited}, {Inherited, 0}}, FontSize->9] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["CellLabel"], StyleMenuListing->None, FontFamily->"Helvetica", FontSize->9, FontColor->RGBColor[0, 0, 1]], Cell[StyleData["CellLabel", "Presentation"], FontSize->12, FontColor->GrayLevel[0]], Cell[StyleData["CellLabel", "Condensed"], FontSize->9], Cell[StyleData["CellLabel", "Printout"], FontSize->7, FontSlant->"Italic", FontColor->GrayLevel[0]] }, Closed]] }, Open ]], Cell[CellGroupData[{ Cell["Formulas and Programming", "Section"], Cell[CellGroupData[{ Cell[StyleData["InlineFormula"], CellMargins->{{10, 4}, {0, 8}}, CellHorizontalScrolling->True, ScriptLevel->1, SingleLetterItalics->True], Cell[StyleData["InlineFormula", "Presentation"], CellMargins->{{99, 10}, {10, 10}}, LineSpacing->{1, 5}], Cell[StyleData["InlineFormula", "Condensed"], CellMargins->{{8, 10}, {6, 6}}, LineSpacing->{1, 1}], Cell[StyleData["InlineFormula", "Printout"], CellMargins->{{10, 0}, {6, 6}}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["DisplayFormula"], CellMargins->{{42, Inherited}, {Inherited, Inherited}}, CellHorizontalScrolling->True, DefaultFormatType->DefaultInputFormatType, ScriptLevel->0, SingleLetterItalics->True, UnderoverscriptBoxOptions->{LimitsPositioning->True}], Cell[StyleData["DisplayFormula", "Presentation"], CellMargins->{{99, Inherited}, {Inherited, 10}}, LineSpacing->{1, 5}], Cell[StyleData["DisplayFormula", "Condensed"], LineSpacing->{1, 1}], Cell[StyleData["DisplayFormula", "Printout"], CellMargins->{{10, Inherited}, {Inherited, Inherited}}] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Hyperlink Styles", "Section"], Cell["\<\ The cells below define styles useful for making hypertext ButtonBoxes. The \ \"Hyperlink\" style is for links within the same Notebook, or between \ Notebooks.\ \>", "Text"], Cell[CellGroupData[{ Cell[StyleData["Hyperlink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0, 0, 1], FontVariations->{"Underline"->True}, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`NotebookLocate[ #2]}]&), Active->True, ButtonNote->ButtonData}], Cell[StyleData["Hyperlink", "Presentation"]], Cell[StyleData["Hyperlink", "Condensed"]], Cell[StyleData["Hyperlink", "Printout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell["\<\ The following styles are for linking automatically to the on-line help \ system.\ \>", "Text"], Cell[CellGroupData[{ Cell[StyleData["MainBookLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0, 0, 1], FontVariations->{"Underline"->True}, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "MainBook", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["MainBookLink", "Presentation"]], Cell[StyleData["MainBookLink", "Condensed"]], Cell[StyleData["MainBookLink", "Printout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["AddOnsLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontFamily->"Courier", FontColor->RGBColor[0, 0, 1], FontVariations->{"Underline"->True}, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "AddOns", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["AddOnsLink", "Presentation"]], Cell[StyleData["AddOnsLink", "Condensed"]], Cell[StyleData["AddOnsLink", "Printout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["RefGuideLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontFamily->"Courier", FontColor->RGBColor[0, 0, 1], FontVariations->{"Underline"->True}, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "RefGuide", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["RefGuideLink", "Presentation"]], Cell[StyleData["RefGuideLink", "Condensed"]], Cell[StyleData["RefGuideLink", "Printout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["GettingStartedLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0, 0, 1], FontVariations->{"Underline"->True}, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "GettingStarted", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["GettingStartedLink", "Presentation"]], Cell[StyleData["GettingStartedLink", "Condensed"]], Cell[StyleData["GettingStartedLink", "Printout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["OtherInformationLink"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, FontColor->RGBColor[0, 0, 1], FontVariations->{"Underline"->True}, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`HelpBrowserLookup[ "OtherInformation", #]}]&), Active->True, ButtonFrame->"None"}], Cell[StyleData["OtherInformationLink", "Presentation"]], Cell[StyleData["OtherInformationLink", "Condensed"]], Cell[StyleData["OtherInformationLink", "Printout"], FontColor->GrayLevel[0], FontVariations->{"Underline"->False}] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["Styles for Headers and Footers", "Section"], Cell[StyleData["Header"], CellMargins->{{0, 0}, {4, 1}}, StyleMenuListing->None, FontSize->10, FontSlant->"Italic"], Cell[StyleData["Footer"], CellMargins->{{0, 0}, {0, 4}}, StyleMenuListing->None, FontSize->9, FontSlant->"Italic"], Cell[StyleData["PageNumber"], CellMargins->{{0, 0}, {4, 1}}, StyleMenuListing->None, FontFamily->"Times", FontSize->10] }, Closed]], Cell[CellGroupData[{ Cell["Palette Styles", "Section"], Cell["\<\ The cells below define styles that define standard ButtonFunctions, for use \ in palette buttons.\ \>", "Text"], Cell[StyleData["Paste"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`NotebookApply[ FrontEnd`InputNotebook[ ], #, After]}]&)}], Cell[StyleData["Evaluate"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`NotebookApply[ FrontEnd`InputNotebook[ ], #, All], SelectionEvaluate[ FrontEnd`InputNotebook[ ], All]}]&)}], Cell[StyleData["EvaluateCell"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`NotebookApply[ FrontEnd`InputNotebook[ ], #, All], FrontEnd`SelectionMove[ FrontEnd`InputNotebook[ ], All, Cell, 1], FrontEnd`SelectionEvaluateCreateCell[ FrontEnd`InputNotebook[ ], All]}]&)}], Cell[StyleData["CopyEvaluate"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`SelectionCreateCell[ FrontEnd`InputNotebook[ ], All], FrontEnd`NotebookApply[ FrontEnd`InputNotebook[ ], #, All], FrontEnd`SelectionEvaluate[ FrontEnd`InputNotebook[ ], All]}]&)}], Cell[StyleData["CopyEvaluateCell"], StyleMenuListing->None, ButtonStyleMenuListing->Automatic, ButtonBoxOptions->{ButtonFunction:>(FrontEndExecute[ { FrontEnd`SelectionCreateCell[ FrontEnd`InputNotebook[ ], All], FrontEnd`NotebookApply[ FrontEnd`InputNotebook[ ], #, All], FrontEnd`SelectionEvaluateCreateCell[ FrontEnd`InputNotebook[ ], All]}]&)}] }, Closed]], Cell[CellGroupData[{ Cell["Placeholder Styles", "Section"], Cell["\<\ The cells below define styles useful for making placeholder objects in \ palette templates.\ \>", "Text"], Cell[CellGroupData[{ Cell[StyleData["Placeholder"], Placeholder->True, StyleMenuListing->None, FontSlant->"Italic", FontColor->RGBColor[0.890623, 0.864698, 0.384756], TagBoxOptions->{Editable->False, Selectable->False, StripWrapperBoxes->False}], Cell[StyleData["Placeholder", "Presentation"]], Cell[StyleData["Placeholder", "Condensed"]], Cell[StyleData["Placeholder", "Printout"]] }, Closed]], Cell[CellGroupData[{ Cell[StyleData["PrimaryPlaceholder"], Placeholder->Primary, StyleMenuListing->None, DrawHighlighted->True, FontSlant->"Italic", Background->RGBColor[0.912505, 0.891798, 0.507774], TagBoxOptions->{Editable->False, Selectable->False, StripWrapperBoxes->False}], Cell[StyleData["PrimaryPlaceholder", "Presentation"]], Cell[StyleData["PrimaryPlaceholder", "Condensed"]], Cell[StyleData["PrimaryPlaceholder", "Printout"]] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["FormatType Styles", "Section"], Cell["\<\ The cells below define styles that are mixed in with the styles of most \ cells. If a cell's FormatType matches the name of one of the styles defined \ below, then that style is applied between the cell's style and its own \ options. This is particularly true of Input and Output.\ \>", "Text"], Cell[StyleData["CellExpression"], PageWidth->Infinity, CellMargins->{{6, Inherited}, {Inherited, Inherited}}, ShowCellLabel->False, ShowSpecialCharacters->False, AllowInlineCells->False, AutoItalicWords->{}, StyleMenuListing->None, FontFamily->"Courier", FontSize->12, Background->GrayLevel[1]], Cell[StyleData["InputForm"], AllowInlineCells->False, StyleMenuListing->None, FontFamily->"Courier"], Cell[StyleData["OutputForm"], PageWidth->Infinity, TextAlignment->Left, LineSpacing->{0.6, 1}, StyleMenuListing->None, FontFamily->"Courier"], Cell[StyleData["StandardForm"], LineSpacing->{1.25, 0}, StyleMenuListing->None, FontFamily->"Courier"], Cell[StyleData["TraditionalForm"], LineSpacing->{1.25, 0}, SingleLetterItalics->True, TraditionalFunctionNotation->True, DelimiterMatching->None, StyleMenuListing->None], Cell["\<\ The style defined below is mixed in to any cell that is in an inline cell \ within another.\ \>", "Text"], Cell[StyleData["InlineCell"], TextAlignment->Left, ScriptLevel->1, StyleMenuListing->None], Cell[StyleData["InlineCellEditing"], StyleMenuListing->None, Background->RGBColor[1, 0.749996, 0.8]] }, Closed]], Cell[CellGroupData[{ Cell["Expression Annotation Styles", "Section"], Cell["\<\ The cells below define styles that are used to effect the display of certain \ types of objects in typeset expressions. 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