Truncated 24-cell honeycomb
In four-dimensional Euclidean geometry, the truncated 24-cell honeycomb is a uniform space-filling honeycomb. It can be seen as a truncation of the regular 24-cell honeycomb, containing tesseract and truncated 24-cell cells.
It has a uniform alternation, called the snub 24-cell honeycomb. It is a snub from the construction. This truncated 24-cell has Schläfli symbol t, and its snub is represented as s.There are five different symmetry constructions of this tessellation. Each symmetry can be represented by different arrangements of colored truncated 24-cell facets. In all cases, four truncated 24-cells, and one tesseract meet at each vertex, but the vertex figures have different symmetry generators.
| Coxeter group | Coxeter
diagram | Facets | Vertex figure | Vertex
figure
symmetry
|
= ] | | 4:
1: | | ,
|
= ] | | 3:
1:
1: | | ,
|
= ] | | 2,2:
1: | | ,
|
= ] | | 1,1:
2:
1: | | ,
|
= ] | | 1,1,1,1:
1: | | +
|
