Prismatotruncated tesseractic tetracomb
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Prismatotruncated tesseractic tetracomb | |
---|---|
Rank | 5 |
Type | Uniform |
Space | Euclidean |
Notation | |
Bowers style acronym | Potatit |
Coxeter diagram | x4x3o3x4o () |
Elements | |
Tera | 6N square-octagonal duoprisms, 4N cuboctahedral prisms, N rectified icositetrachora, N prismatorhombated hexadecachora |
Cells | 32N triangular prisms, 24N+24N cubes, 8N+16N cuboctahedra, 24N octagonal prisms, 4N truncated cubes |
Faces | 32N+64N triangles, 48N+96N+96N squares, 24N octagons |
Edges | 48N+96N |
Vertices | 32N |
Vertex figure | Wedge pyramid, edge lengths 1 (two edges of base rectangle and top edge of wedge), √2 (sides of wedge, other edges of rectangle base, and lacings to rectangle), and √2+√2 (lacings to top edge) |
Related polytopes | |
Army | Potatit |
Regiment | Potatit |
Conjugate | Quasiprismatotruncated tesseractic tetracomb |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | R5 |
Convex | Yes |
Nature | Tame |
The prismatotruncated tesseractic tetracomb or potatit, also called the runcitruncated tesseractic tetracomb is a convex uniform tetracomb. 1 rectified icositetrachoron, 2 prismatorhombated hexadecachora, 2 square-octagonal duoprisms, and 1 cuboctahedral prism join at each vertex of this tessellation. As the name suggests, it is the runcitruncation of the tesseractic tetracomb.
Vertex coordinates[edit | edit source]
The vertices of a prismatotruncated tesseractic tetracomb of edge length 1 are given by all permutations of:
Where i, j, k, and l range over the integers.
Representations[edit | edit source]
A prismatotruncated tesseractic tetracomb has the following Coxeter diagrams:
- x4x3o3x4o (full symmetry)
- x3o3x *b3x4x (half symmetry)
External links[edit | edit source]
- Klitzing, Richard. "potatit".
- Wikipedia contributors. "Runcitruncated tesseractic honeycomb".