Hexagonal triotegum
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Hexagonal triotegum | |
---|---|
File:Hexagonal triotegum.png | |
Rank | 6 |
Type | Noble |
Notation | |
Bowers style acronym | Hittit |
Coxeter diagram | m6o2m6o2m6o |
Elements | |
Peta | 216 digonal trisphenoids |
Tera | 648 tetragonal disphenoidal pyramids |
Cells | 648 digonal disphenoids, 108 tetragonal disphenoids |
Faces | 216 isosceles triangles, 216 triangles |
Edges | 18+108 |
Vertices | 18 |
Vertex figure | Hexagonal duotegmatic tegum |
Measures (based on hexagons of edge length 1) | |
Edge lengths | Base (18): 1 |
Lacing (108): | |
Circumradius | 1 |
Inradius | |
Central density | 1 |
Related polytopes | |
Army | Hittit |
Regiment | Hittit |
Dual | Hexagonal trioprism |
Conjugate | Hexagonal triotegum |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | G2≀S3, order 10368 |
Convex | Yes |
Nature | Tame |
The hexagonal triotegum is a noble triotegum that consists of 216 digonal trisphenoids and 18 vertices. 72 facets join at each vertex. It is also the 18-5-7 step prism.
The ratio between the longest and shortest edges is 1: ≈ 1:1.41421.