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The Mathematica Programmer: Uniform Polyhedra

Roman Maeder
Organization: Wolfram Research, Inc.
Department: Kernel Technology
Journal / Anthology

The Mathematica Journal
Year: 1993
Volume: 3
Issue: 4
Page range: 48-57

Uniform polyhedra consist of regular faces and congruent vertices. Allowing for non-convex faces and vertex figures, there are 75 such polyhedra, as well as two infinite families of prisms and antiprisms. A recently discovered uniform way of computing their vertex coordinates is the basis for our program to display all of these solids, among which are many beautiful and stunning shapes. We will also develop some utilities for drawing spherical triangles and for storing properties of objects in a flexible way.

*Mathematics > Geometry > Solid Geometry
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README.txt (615 B) - Text file
PolyhedraExamples.m (5.3 KB) - Mathematica Package
UniformPolyhedra.m (21.5 KB) - Mathematica Package