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]= | |