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  |
| NumberOfEdges[p] | number of edges in polygon  |
| NumberOfFaces[p] | number of faces in polygon  |
| Vertices[p] | list of vertex coordinates for polygon  |
| Area[p] | area of polygon  when edges have unit length |
| InscribedRadius[p] | radius of the inscribed circle of polygon  when edges have unit length |
| CircumscribedRadius[p] | radius of the circumscribed circle of polygon  when edges have unit length |
| Faces[p] | list of faces from vertex numbers for polygon  |
Geometrical characteristics of polygons.
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.
| Out[2]= |  |
This is the area of an octagon when the length of each edge is 1.
| Out[3]= |  |
These points represent the coordinates of the vertices of an octagon.
| Out[4]= |  |
Here is a plot of the vertices of an octagon.
| Out[5]= |  |
