CPINTRO(1) Mathematica package CPINTRO(1)
NAME
cpintro - introduction to CirclePack.m and DrawPacking.m
DESCRIPTION
(If you have a NeXT workstation have a look at the notebook
"demo.ma" first.)
The first few lines of Triangulation.m, CirclePack.m and
DrawPacking.m will tell you what these files contain over
and above what is mentioned below.
Start Mathematica, then type "< {0.5, 1,
0, ... }" in the "CirclePack[]" invocation. This says that
the circles at each end of the edge labelled 1 should cross
at angle Pi/3. In general the table should contain as many
entries as the nerve has uniquely numbered edges. The i'th
entry gives the Cosine of the required intersection angle at
the i'th edge. (The default is "Table[1., {ne[genus2]}]".)
Other examples in "cpexamples.m" include an octahedron
(oct), an icosahedron (icos) and a torus cut into 4 trian-
gles (torus). With "oct" and "icos" there are two possible
ways to display the packing. You can either look at it
stereographically projected to the plane or look at it in
3D. (Both pictures unfortunately tend to be a bit confusing
and may take a moment to sort out.)
AUTHOR
Contact: Oliver Goodman, (oag@geom.umn.edu) if you have any
comments or suggestions regarding this package.
SEE ALSO
Triangulation, CirclePack