Faceted pentachoric tetracomb
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Faceted pentachoric tetracomb | |
---|---|
Rank | 5 |
Type | Regular, compact |
Space | Hyperbolic |
Notation | |
Bowers style acronym | Fipte |
Coxeter diagram | o5/2o5o3o3x () |
Schläfli symbol | {3,3,5,5/2} |
Elements | |
Tera | N hexacosichora |
Cells | 300N tetrahedra |
Faces | 240N triangles |
Edges | 60N |
Vertices | N |
Vertex figure | Faceted hexacosichoron, edge length 1 |
Measures (edge length 1) | |
Circumradius | |
Central density | 5 |
Related polytopes | |
Army | Pente |
Regiment | Pente |
Dual | Small stellated hecatonicosachoric tetracomb |
Abstract & topological properties | |
Schläfli type | {3,3,5,5} |
Orientable | Yes |
Properties | |
Symmetry | [5,3,3,3] |
Convex | No |
The faceted pentachoric tetracomb or fipte, also called the (pentagrammic-order) 600-cell honeycomb, is a compact regular star tiling of 4D hyperbolic space. 5 hexacosichora meet at each face in a pentagrammic arrangement, and 120 meet at each vertex.
It shares its vertices, edges, faces, and cells with the convex pentachoric tetracomb.
External links[edit | edit source]
- Klitzing, Richard. "fipte".
- Wikipedia contributors. "Pentagrammic-order 600-cell honeycomb".