Prismatotruncatodemitesseractic tetracomb
Jump to navigation
Jump to search
Prismatotruncatodemitesseractic tetracomb | |
---|---|
Rank | 5 |
Type | Uniform |
Space | Euclidean |
Notation | |
Bowers style acronym | Pithatit |
Coxeter diagram | x3x3o *b3o4x () |
Elements | |
Tera | 8N truncated tetrahedral prisms, 2N truncated hexadecachora, N small rhombated tesseracts, N prismatorhombated tesseracts |
Cells | 32N triangular prisms, 16N octahedra, 12N cubes, 32N hexagonal prisms, 16N+16N truncated tetrahedra, 8N small rhombicuboctahedra |
Faces | 64N+64N triangles, 24N+48N+96N squares, 64N hexagons |
Edges | 48N+96N+192N |
Vertices | 96N |
Vertex figure | Wedge pyramid, edge lengths 1 (base square of wedge), √2 (sides and top of wedge and lacings to top edge), and √3 (lacings to base square) |
Related polytopes | |
Army | Pithatit |
Regiment | Pithatit |
Conjugate | Quasiprismatotruncatodemitesseractic tetracomb |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | S5 |
Convex | Yes |
Nature | Tame |
The prismatotruncatodemitesseractic tetracomb or pithatit, is a convex uniform tetracomb. 1 small rhombated tesseract, 2 prismatorhombated tesseracts, 1 truncated hexadecachoron, and 2 truncated tetrahedral prisms join at each vertex of this tessellation. It can be formed as an alternated faceting of the cellirhombated tesseractic tetracomb, by alternating half of the small rhombated tesseracts.
External links[edit | edit source]
- Klitzing, Richard. "pithatit".