![cover image](https://wikiwandv2-19431.kxcdn.com/_next/image?url=https://upload.wikimedia.org/wikipedia/commons/thumb/8/81/Icositetrachoronic_tetracomb.png/640px-Icositetrachoronic_tetracomb.png&w=640&q=50)
24-cell honeycomb
From Wikipedia, the free encyclopedia
In four-dimensional Euclidean geometry, the 24-cell honeycomb, or icositetrachoric honeycomb is a regular space-filling tessellation (or honeycomb) of 4-dimensional Euclidean space by regular 24-cells. It can be represented by Schläfli symbol {3,4,3,3}.
24-cell honeycomb | |
---|---|
![]() A 24-cell and first layer of its adjacent 4-faces. | |
Type | Regular 4-honeycomb Uniform 4-honeycomb |
Schläfli symbol | {3,4,3,3} r{3,3,4,3} 2r{4,3,3,4} 2r{4,3,31,1} {31,1,1,1} |
Coxeter-Dynkin diagrams | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
4-face type | {3,4,3} ![]() |
Cell type | {3,4} ![]() |
Face type | {3} |
Edge figure | {3,3} |
Vertex figure | {4,3,3} |
Dual | {3,3,4,3} |
Coxeter groups | |
Properties | regular |
The dual tessellation by regular 16-cell honeycomb has Schläfli symbol {3,3,4,3}. Together with the tesseractic honeycomb (or 4-cubic honeycomb) these are the only regular tessellations of Euclidean 4-space.