POLYTOPES PACKAGE TUTORIAL
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.
This is the area of an octagon when the length of each edge is 1.
These points represent the coordinates of the vertices of an octagon.
Here is a plot of the vertices of an octagon.