Graphing Uniform Polyhedra

Polyhedron(S1) Generates the uniform polyhedron whose name, number code, or Wythoff symbol is S1.

PolyLookup(n) Returns a vector containing the name, the dual name, and the Wythoff symbol for the polyhedron indicated by number code n.

Arguments:

• S1 is a string containing the name of a polyhedron, its Wythoff symbol, or a # sign followed by the integer number code for the polyhedron. For example, Polyhedron ("cube") or Polyhedron ("3|2 4") or Polyhedron ("#11") all produce a cube.
• n is a string containing a # and the integer number code for a polyhedron, where the number code is between 1 and 80.

To graph a uniform polyhedra

1. Choose Graph > Surface Plot from the Insert menu.
2. In the placeholder, enter the polyhedron function with an appropriate string argument, either the name or number of the polyhedron.

Notes:

• The Polyhedron function is used to create a 3D Surface Plot of a polyhedron.
• Uniform polyhedra are regular polyhedra whose vertices are congruent. Each has a name, a number, a dual (the name of another polyhedron), and a Wythoff symbol associated with it.

  Here are a few uniform polyhedra:

Name	Number code	Wythoff symbol	Dual name
pentagonal prism	1	2 5|2	pentagonal dipyramid
icosahedron	27	5|2 3	dodecahedron
cube	11	3|2 4	octahedron

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