Order-5 hecatonicosachoric tetracomb
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Order-5 hecatonicosachoric tetracomb | |
---|---|
Rank | 5 |
Dimension | 4 |
Type | Regular, compact |
Space | Hyperbolic |
Notation | |
Bowers style acronym | Phitte |
Coxeter diagram | x5o3o3o5o () |
Schläfli symbol | {5,3,3,5} |
Elements | |
Tera | N hecatonicosachora |
Cells | 60N dodecahedra |
Faces | 144N pentagons |
Edges | 60N |
Vertices | N |
Vertex figure | Hexacosichoron, edge length (1+√5)/2 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Phitte |
Regiment | Phitte |
Dual | Order-5 hecatonicosachoric tetracomb |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | [5,3,3,5] |
Convex | Yes |
The order-5 hecatonicosachoric tetracomb, or phitte, is a compact regular tiling of 4D hyperbolic space. 5 hecatonicosachora meet at each face, and 600 meet at each vertex, forming a hexacosichoron as the vertex figure. It is self-dual.
External links[edit | edit source]
- Klitzing, Richard. "phitte".
- Wikipedia contributors. "Order-5 120-cell honeycomb".