Pentapentachoron
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Pentapentachoron | |
---|---|
Rank | 4 |
Type | Semi-uniform |
Notation | |
Bowers style acronym | Pup |
Coxeter diagram | o3x3y3o |
Elements | |
Cells | 5+5 truncated tetrahedra |
Faces | 10+10 triangles, 20 ditrigons |
Edges | 30+30 |
Vertices | 30 |
Vertex figure | Digonal disphenoid |
Measures (edge lengths a, b) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Tut–6–tut: |
Tut–3–tut: | |
Central density | 1 |
Related polytopes | |
Dual | Disphenoidal triacontachoron |
Conjugate | Pentapentachoron |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | A4, order 120 |
Convex | Yes |
Nature | Tame |
The pentapentachoron is a convex semi-uniform polychoron that is a variant of the decachoron with only regular pentachoric and not doubled pentachoric symmetry. As such it can be represented by o3x3y3o and has 10 truncated tetrahedra (of two types (forms x3y3o and y3x3o), with two edge lengths.