Hecatonicosintercepted ditrigonal hexacosidishecatonicosachoron
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Hecatonicosintercepted ditrigonal hexacosidishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Hind tixady |
Elements | |
Cells | 600 truncated tetrahedra, 120 great icosidodecahedra, 120 small ditrigonal dodecicosidodecahedra, 120 icosidodecatruncated icosidodecahedra |
Faces | 1200+2400 triangles, 1440 pentagrams, 2400 hexagons, 1440 decagons, 720 decagrams |
Edges | 3600+7200 |
Vertices | 3600 |
Vertex figure | Windowed wedge, edge lengths 1 (3), (1+√5)/2 (2), √3 (4), √(5+√5)/2 (4), and √(5–√5)/2 (2) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Gid–3–tut: |
Sidditdid–5/2–gid: 144° | |
Sidditdid–10–idtid: 144° | |
Sidditdid–3–sidditdid: 120° | |
Idtid–10/3–idtid: 108° | |
Idtid–6–tut: | |
Related polytopes | |
Army | Semi-uniform srix |
Regiment | Swavixady |
Conjugate | Hexacosihecatonicosintercepted ditrigonal dishecatonicosachoron |
Abstract & topological properties | |
Euler characteristic | 1440 |
Orientable | Yes |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The hecatonicosintercepted ditrigonal hexacosidishecatonicosachoron, or hind tixady, is a nonconvex uniform polychoron that consists of 120 great icosidodecahedra, 120 small ditrigonal dodecicosidodecahedra, 600 truncated tetrahedra, and 120 icosidodecatruncated icosidodecahedra. One great icosidodecahedron, two small ditrigonal dodecicosidodecahedra, two truncated tetrahedra, and four icosidodecatruncated icosidodecahedra join at each vertex.
Vertex coordinates[edit | edit source]
The vertices are the same as those of the regiment colonel, the small sphenoverted hexacosidishecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 6: Sphenoverts" (#262).