Gosset octacomb
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Gosset octacomb | |
---|---|
Rank | 9 |
Type | Uniform |
Space | Euclidean |
Notation | |
Bowers style acronym | Goh |
Coxeter diagram | o3o3o3o *c3o3o3o3o3x (File:CDel nodea 1.pngFile:CDel 3a.pngFile:CDel nodea.pngFile:CDel 3a.pngFile:CDel nodea.pngFile:CDel 3a.pngFile:CDel nodea.pngFile:CDel 3a.pngFile:CDel nodea.pngFile:CDel 3a.pngFile:CDel branch.pngFile:CDel 3a.pngFile:CDel nodea.pngFile:CDel 3a.pngFile:CDel nodea.png) |
Elements | |
Yotta | 1920N enneazetta, 135N diacosipentacontahexazetta |
Zetta | 8640N+17280N octaexa |
Exa | 69120N heptapeta |
Peta | 80640N hexatera |
Tera | 48384N pentachora |
Cells | 15120N tetrahedra |
Faces | 2240N triangles |
Edges | 120N |
Vertices | N |
Vertex figure | Dischiliahecatonhexaconta-myriaheptachiliadiacosioctaconta-zetton, edge length 1 |
Measures (edge length 1) | |
Vertex density | |
Dual cell volume | |
Related polytopes | |
Army | Goh |
Regiment | Goh |
Conjugate | None |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | T9 |
Convex | Yes |
Nature | Tame |
The Gosset octacomb or goh, also called the 521 honeycomb, is a convex uniform octacomb. 240 diacosipentacontahexazetta and 17280 enneazetta join at each vertex of this tessellation, forming a dischiliahecatonhexaconta-myriaheptachiliadiacosioctaconta-zetton as the vertex figure.
Vertex coordinates[edit | edit source]
The vertices of a Gosset octacomb of edge length 1 are given by
where i, j, k, l, m, n, o, and p are integers, and i+j+k+l+m+n+o+p is even.
External links[edit | edit source]
- Klitzing, Richard. "goh".
- Wikipedia contributors. "5_21 honeycomb".