24-cell honeycomb

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 , [3,4,3,3]
, [4,3,3,4]
, [4,3,31,1]
, [31,1,1,1]
Properties regular

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}.

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.