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Vertex Enumeration Package for Convex Polytopes and Arrangements, Version 0.41 Beta
Authors

Komei Fukuda
Organization: ETH-Zentrum
Department: CH-8092 Zurich, Switzerland, Department of Mathematics
URL: http://www.ifor.math.ethz.ch/~fukuda/fukuda.html
Ichiro Mizukoshi
Organization: Graduate School of Systems Management, University of Tsukuba, Tokyo
Old MathSource #

0202-633
Revision date

1993-03-01
Description

The package "VertexEnumeration" contains Mathematica implementations of Avis-Fukuda algorithms for enumerating all vertices of a convex polytope given by a system of linear inequalities, and for enumerating all points (0-dimensional faces) of an arrangement of hyperplanes given similarly. The package also generates Voronoi diagrams and graphs. The supplementary package "FaceLattice.m" computes the face lattice structure of a bounded convex polyhedron.
Subjects

*Mathematics > Geometry > Computational Geometry
*Mathematics > Geometry > Solid Geometry
*Mathematics > Geometry > Tiling
Keywords

Voronoi diagrams, 3D geometry, 3D graphics, Avis-Fukuda algorithms, convex polytope, face lattice structure, bounded convex polyhedron
Downloads Download Wolfram CDF Player

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README.txt (1.8 KB) - Release notes
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FL-Notebook.nb (117.9 KB) - Mathematica notebook documenting FaceLattice.m
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FaceLattice.m (3.8 KB) - Supplementary package to compute the face lattice of a convex polytope
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Power.m (155 B) - Supplementary program for VertexEnum.m
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VE-Notebook.nb (283.7 KB) - Mathematica notebook documenting VertexEnum.m
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VertexEnum.m (30.4 KB) - Mathematica package

Files specific to Mathematica 2.2 version:
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FL-Notebook.ma (47.7 KB) - Mathematica notebook documenting FaceLattice.m
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VE-Notebook.ma (252.8 KB) - Mathematica notebook documenting VertexEnum.m