Triangular triotegum
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Triangular triotegum | |
---|---|
File:Triangular triotegum.png | |
Rank | 6 |
Type | Noble |
Notation | |
Bowers style acronym | Trittit |
Coxeter diagram | m3o2m3o2m3o |
Elements | |
Peta | 27 digonal trisphenoids |
Tera | 81 tetragonal disphenoidal pyramids |
Cells | 81 digonal disphenoids, 27 tetragonal disphenoids |
Faces | 54 isosceles triangles, 27 triangles |
Edges | 9+27 |
Vertices | 9 |
Vertex figure | Triangular duotegmatic tegum |
Measures (based on triangles of edge length 1) | |
Edge lengths | Lacing (27): |
Base (9): 1 | |
Circumradius | |
Inradius | |
Central density | 1 |
Related polytopes | |
Army | Trittit |
Regiment | Trittit |
Dual | Triangular trioprism |
Conjugate | Triangular triotegum |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | A2≀S3, order 1296 |
Convex | Yes |
Nature | Tame |
The triangular triotegum is a noble triotegum that consists of 27 digonal trisphenoids and 9 vertices. 18 facets join at each vertex. It is also the 9-2-4 step prism.
The ratio between the longest and shortest edges is 1: ≈ 1:1.22474.