Perles configuration
id:
perles-configuration-248-18265124
title:
Perles configuration
text:
In geometry, the Perles configuration is a system of nine points and nine lines in the Euclidean plane for which every combinatorially equivalent realization has at least one irrational number as one of its coordinates. It can be constructed from the diagonals and symmetry lines of a regular pentagon, and their crossing points. In turn, it can be used to construct higher-dimensional convex polytopes that cannot be given rational coordinates, having the fewest vertices of any known example. All o
brand slug:
wiki
category slug:
encyclopedia
description:
Irrational system of points and lines
original url:
https://en.wikipedia.org/wiki/Perles_configuration
date created:
date modified:
2023-11-29T01:56:53Z
main entity:
{"identifier":"Q7169136","url":"https://www.wikidata.org/entity/Q7169136"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/b/b1/Perles_configuration.svg","width":356,"height":335}
fields total:
13
integrity:
15