Rectified 24-cell honeycomb
In four-dimensional Euclidean geometry, the rectified 24-cell honeycomb is a uniform space-filling honeycomb. It is constructed by a rectification of the regular 24-cell honeycomb, containing tesseract and rectified 24-cell cells.
Alternate names
- Rectified icositetrachoric tetracomb
- Rectified icositetrachoric honeycomb
- Cantellated 16-cell honeycomb
- Bicantellated tesseractic honeycomb
Symmetry constructions
There are five different symmetry constructions of this tessellation. Each symmetry can be represented by different arrangements of colored rectified 24-cell and tesseract facets. The tetrahedral prism vertex figure contains 4 rectified 24-cells capped by two opposite tesseracts.| 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: | , |