Ditetrahedrofissary dishecatonicosachoron
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| Ditetrahedrofissary dishecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Dittafady |
| Coxeter diagram | (x5o5/3x5o5/3*a3*c)/2 |
| Elements | |
| Cells | 120 dodecadodecahedra, 120 icosidodecadodecahedra |
| Faces | 1440 pentagons, 1440 pentagrams, 1200 hexagons |
| Edges | 3600 |
| Vertices | 600 |
| Vertex figure | Compound of 3 crossed rectangular trapezoprisms, edge lengths (√5–1)/2 and (1+√5)/2 (base) and √3 (sides) |
| Measures (edge length 1) | |
| Circumradius | |
| Hypervolume | 125 |
| Dichoral angles | Did–5–ided: 144º |
| Ided–6–ided: 120º | |
| Did–5/2–ided: 72º | |
| Related polytopes | |
| Army | Hi |
| Regiment | Dattady |
| Conjugate | Ditetrahedrofissary dishecatonicosachoron |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Wild |
The ditetrahedrofissary dishecatonicosachoron, or dittafady, is a nonconvex fissary uniform polychoron that consists of 120 dodecadodecahedra and 120 icosidodecadodecahedra. 6 dodecadodecahedra and 12 icosidodecadodecahedra join at each vertex.
It is fissary with vertices coinciding by 3, and edges coinciding by two.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the ditetrahedronary dishecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 18: Ditetrahedrals" (#F18).
- Klitzing, Richard. "dittafady".