File:Decagon simplicial arrangement.svg

Uploaded by David Eppstein
Upload date 2022-12-23T18:52:56Z
MIME type image/svg+xml
Dimensions 720 × 720 px
File size 644 B

Summary

Description
English: A simplicial arrangement of 20 lines formed by the sides and symmetry axes of a regular decagon. An arrangement is simplicial when, taken as a subdivision of the projective plane, every region has three sides. The same construction produces a simplicial arrangement for any regular polygon. For polygons with even numbers of sides, such as this one, the line at infinity of the projective plane can be added to the arrangement to produce another simplicial arrangement, in this example an arrangement of 21 lines.
Date
Source Own work
Author David Eppstein

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Captions

A simplicial arrangement of lines formed by the sides and symmetry axes of a regular decagon

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23 December 2022

image/svg+xml

644 byte

9dc855c513b1fc5aafe4c273b908a6ab3444e908