|Bowers style acronym||Dattady|
|Coxeter diagram||o3o3o3x5/2*b ()|
|Cells||120 great stellated dodecahedra, 120 small ditrigonary icosidodecahedra|
|Faces||1200 triangles, 1440 pentagrams|
|Vertex figure||Semi-uniform truncated tetrahedron, edge lengths (√5–1)/2 (triangle edges) and 1 (other edges)|
|Measures (edge length 1)|
|Dichoral angles||Sidtid–5/2–gissid: 144°|
|Number of external pieces||2520|
|Level of complexity||11|
|Army||Hi, edge length|
|Conjugate||Great ditetrahedronary dishecatonicosachoron|
|Abstract & topological properties|
|Symmetry||H4, order 14400|
The ditetrahedronary dishecatonicosachoron, or dattady, is a nonconvex uniform polychoron that consists of 120 great stellated dodecahedra and 120 small ditrigonary icosidodecahedra. 4 small ditrigonary icosidodecahedra and 4 great stellated dodecahedra join at each vertex, with a variant of the truncated tetrahedron as the vertex figure.
The ditetrahedronary dishecatonicosachoron contains the vertices and edges of a hexagonal duoprism, rhombidodecadodecahedral prism, and decachoron.
Cross-sections[edit | edit source]
Vertex coordinates[edit | edit source]
The vertices of a ditetrahedronary dishecatonicosachoron of edge length 1, centered at the origin, are given by all permutations of:
together with all the even permutations of:
Related polychora[edit | edit source]
The ditetrahedronary dishecatonicosachoron is the colonel of a regiment with 37 members, plus four fissaries and two compounds, as well as a number of scaliform members.
External links[edit | edit source]
- Bowers, Jonathan. "Category 18: Ditetrahedrals" (#815).
- Bowers, Jonathan. "How to Make Dattady".
- Klitzing, Richard. "dattady".