Cubic honeycomb tetracomb
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Cubic honeycomb tetracomb | |
---|---|
Rank | 5 |
Type | Regular, paracompact |
Space | Hyperbolic |
Notation | |
Bowers style acronym | Chont |
Coxeter diagram | x4o3o4o3o () |
Schläfli symbol | {4,3,4,3} |
Elements | |
Tera | 24N cubic honeycombs |
Cells | 12MN cubes |
Faces | 24MN squares |
Edges | 12MN |
Vertices | MN |
Vertex figure | Icositetrachoron, edge length √2 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Chont |
Regiment | Chont |
Dual | Order-4 icositetrachoric tetracomb |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | [4,3,4,3] |
Convex | Yes |
The cubic honeycomb tetracomb, or chont, is a paracompact regular tiling of 4D hyperbolic space. It is paracompact because it has infinite Euclidean cubic honeycomb cells tiling 3-horospheres. 3 cubic honeycombs meet at each face, and 24 meet at each vertex.
Representations[edit | edit source]
A cubic honeycomb tetracomb has the following Coxeter diagrams:
- x4o3o4o3o () (full symmetry)
- x4o3o4o *b3o () (rectified hexadecachoron verf)
- x4o3o *b3o *b3o () (rectified demitesseract verf)
External links[edit | edit source]
- Klitzing, Richard. "chont".
- Wikipedia contributors. "Cubic honeycomb honeycomb".