Hessian polyhedron
id:
hessian-polyhedron-319-7656526
title:
Hessian polyhedron
text:
In geometry, the Hessian polyhedron is a regular complex polyhedron 3{3}3{3}3,, in C 3 . It has 27 vertices, 72 3{} edges, and 27 3{3}3 faces. It is self-dual. Coxeter named it after Ludwig Otto Hesse for sharing the Hessian configuration [ 9 4 3 12 ] or (94123), 9 points lying by threes on twelve lines, with four lines through each point. Its complex reflection group is 3[3]3[3]3 or, order 648, also called a Hessian group. It has 27 copies of, order 24, at each vertex. It has 24 order-3 reflect
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Hessian_polyhedron
date created:
date modified:
2024-01-30T04:34:37Z
main entity:
{"identifier":"Q27998992","url":"https://www.wikidata.org/entity/Q27998992"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/9/95/Complex_polyhedron_3-3-3-3-3.png","width":3454,"height":3442}
fields total:
13
integrity:
14