Pentagonal triotegum
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Pentagonal triotegum | |
---|---|
File:Pentagonal triotegum.png | |
Rank | 6 |
Type | Noble |
Notation | |
Bowers style acronym | Pettit |
Coxeter diagram | m5o2m5o2m5o |
Elements | |
Peta | 125 digonal trisphenoids |
Tera | 375 tetragonal disphenoidal pyramids |
Cells | 375 digonal disphenoids, 75 tetragonal disphenoids |
Faces | 150 isosceles triangles, 125 triangles |
Edges | 15+75 |
Vertices | 15 |
Vertex figure | Pentagonal duotegmatic tegum |
Measures (based on pentagons of edge length 1) | |
Edge lengths | Base (15): 1 |
Lacing (75): | |
Circumradius | |
Inradius | |
Central density | 1 |
Related polytopes | |
Army | Pettit |
Regiment | Pettit |
Dual | Pentagonal trioprism |
Conjugate | Pentagrammic triotegum |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | H2≀S3, order 6000 |
Convex | Yes |
Nature | Tame |
The pentagonal triotegum or pettit is a noble triotegum that consists of 125 digonal trisphenoids and 15 vertices. 50 facets join at each vertex.
The ratio between the longest and shortest edges is 1: ≈ 1:1.20300.