Polytopes Package Tutorial

Polytopes Package

This package contains functions that give geometrical characteristics of regular polygons. Polygons are identified by name (Digon, Decagon, etc.) in function arguments and in results.

NumberOfVertices[p]	number of vertices in polygon p
NumberOfEdges[p]	number of edges in polygon p
NumberOfFaces[p]	number of faces in polygon p
Vertices[p]	list of vertex coordinates for polygon p
Area[p]	area of polygon p when edges have unit length
InscribedRadius[p]	radius of the inscribed circle of polygon p when edges have unit length
CircumscribedRadius[p]	radius of the circumscribed circle of polygon p when edges have unit length
Faces[p]	list of faces from vertex numbers for polygon p

Geometrical characteristics of polygons.

Digon	polygon with 2 edges
Triangle	polygon with 3 edges
Square	polygon with 4 edges
Pentagon	polygon with 5 edges
Hexagon	polygon with 6 edges
Heptagon	polygon with 7 edges
Octagon	polygon with 8 edges
Nonagon	polygon with 9 edges
Decagon	polygon with 10 edges
Undecagon	polygon with 11 edges
Dodecagon	polygon with 12 edges

Names of polygons.

The functions Area, InscribedRadius, and CircumscribedRadius give information for a polygon with edges of length 1. The list of coordinates returned by Vertices is conventional for the specified polygon and does not necessarily correspond to a polygon with unit edge length.

This loads the package.

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