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.
Alternate names
- Truncated icositetrachoric tetracomb
- Truncated icositetrachoric honeycomb
- Cantitruncated 16-cell honeycomb
- Bicantitruncated tesseractic honeycomb
Symmetry constructions
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 |
= Template:F4 honeycombs| | 4: 1: | , | ||
= Template:F4 honeycombs| | 3: 1: 1: | , | ||
= Template:C4 honeycombs| | 2,2: 1: | , | ||
= Template:B4 honeycombs| | 1,1: 2: 1: | , | ||
= Template:D4 honeycombs| | 1,1,1,1: 1: | + |