Ditruncated-tetrahedral diacositetracontachoron
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| Ditruncated-tetrahedral diacositetracontachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 240 chiral ditruncated tetrahedra |
| Faces | 1440 isosceles triangles, 480 triambi, 480 triangular-symmetric dodecagons |
| Edges | 1440+2880 |
| Vertices | 720+1440 |
| Vertex figure | 1440 phyllic disphenoids, 720 rhombic disphenoids |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Bitetrahedral diacositetracontachoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | B3●H3, order 2880 |
| Convex | Yes |
| Nature | Tame |
The ditruncated-tetrahedral diacositetracontachoron is a convex isochoric polychoron with 240 chiral ditruncated tetrahedra as cells. It can be obtained as the dual of the bitetrahedral diacositetracontachoron. It is the second in a series of isochoric rhombic triacontahedral swirlchora.
Each cell of this polychoron has chiral tetrahedral symmetry, with 4 triangular-symmetric dodecagons, 4 triambi, and 12 isosceles triangles for faces.
Isogonal derivatives[edit | edit source]
Substitution by vertices of these following elements will produce these convex isogonal polychora:
- Chiral ditruncated tetrahedron (240): Bitetrahedral diacositetracontachoron
- Vertex (720): Snub bitetrahedral diacositetracontachoron