third_party/cddlib/examples-ml/cddml-PolytopeSkeleton.nb

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Notebook[{
Cell["\<\
PolytopeSkeleton.m
Visualizing Convex Polytope Skeletons (with cddmathlink)\
\>", "Title",
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Cell[TextData[StyleBox["Komei Fukuda, fukuda@ifor.math.ethz.ch\nSwiss Federal \
Institute of Technology, Lausanne and Zurich\nDecember 17, 2002",
  FontSize->17,
  FontSlant->"Italic"]], "Subtitle",
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Cell[CellGroupData[{

Cell["Preparation (reading Packages)", "Section",
  InitializationCell->True,
  ImageRegion->{{0, 1}, {0, 1}}],

Cell["Off[General::spell1]; Off[General::spell]", "Input",
  InitializationCell->True,
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Cell["$Path = Append[$Path,\"~/Math\"]; ", "Input",
  InitializationCell->True,
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Cell[TextData[{
  "We use an extra graphics package available from ",
  StyleBox["MathSource",
    FontSlant->"Italic"],
  ".    It is called View3D which is a part of ExtendGraphics  package wrtten \
by  Tom Wickham-Jones .  The package is available at ",
  StyleBox["http://www.mathsource.com/",
    FontFamily->"Courier",
    FontWeight->"Bold"],
  ".  If you install it in a directory which in not in the $Path, you need to \
append the directory to $Path."
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Cell["$Path", "Input",
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Cell[BoxData[
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      "/Library/Mathematica/Kernel/", "/Library/Mathematica/Autoload/", 
      "/Library/Mathematica/Applications/", "/Library/Mathematica/", ".", 
      "/Users/fukuda", 
      "/Applications/LocalApps/Mathematica 4.1.app/AddOns/StandardPackages", 
      "/Applications/LocalApps/Mathematica \
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Cell["Needs[\"ExtendGraphics`View3D`\"];", "Input",
  InitializationCell->True,
  ImageRegion->{{0, 1}, {0, 1}}],

Cell[TextData[{
  "cddmathlink is a ",
  StyleBox["MathLink",
    FontSlant->"Italic"],
  "  version of libcdd for doing the vertex enumeration and the facet \
enumeration of a convex polyhedron.  cddlib-080.tar.gz is available from \
Fukuda's Homepage:   http:///www.ifor.math.ethz.ch/staff/fukuda/fukuda.html  \
.   Look for \"cdd Homepage\"."
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Cell["cddml=Install[\"~/Math/cddmathlink\"]", "Input",
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Cell[BoxData[
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Cell[TextData[{
  "The following packages come with libcdd package and should be installed in \
your favorite directory.  Here I assume it is in \"~/Math\" directory.   They \
are separately available from Fukuda's Homepage: \
http:///www.ifor.math.ethz.ch/staff/fukuda/fukuda.html  .  Look for ",
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  " Projects."
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Cell["<< PolytopeSkeleton.m", "Input",
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Cell["<< IOPolyhedra.m", "Input",
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The file test.ine is the main output file of cdd+, which gives the \
inequality (facet) representation of the polytope.\
\>", "Text",
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invertpos[l_List, j_]:=
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Cell["\<\
Do[ uvp=circle[a,5,2];
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 \t\tViewPoint -> getMmaViewPoint[uvp,skel3D[uvp]],
 \t\tSphericalRegion->True
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 \t{a,Pi/11,Pi,Pi/18}
 ]\
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