Prismatotruncatodemitesseractic tetracomb

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Prismatotruncatodemitesseractic tetracomb
Rank5
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymPithatit
Coxeter diagramx3x3o *b3o4x ()
Elements
Tera8N truncated tetrahedral prisms, 2N truncated hexadecachora, N small rhombated tesseracts, N prismatorhombated tesseracts
Cells32N triangular prisms, 16N octahedra, 12N cubes, 32N hexagonal prisms, 16N+16N truncated tetrahedra, 8N small rhombicuboctahedra
Faces64N+64N triangles, 24N+48N+96N squares, 64N hexagons
Edges48N+96N+192N
Vertices96N
Vertex figureWedge 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
ArmyPithatit
RegimentPithatit
ConjugateQuasiprismatotruncatodemitesseractic tetracomb
Abstract & topological properties
OrientableYes
Properties
SymmetryS5
ConvexYes
NatureTame

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.

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