Prismatotruncated icositetrachoric tetracomb

From Polytope Wiki
Jump to navigation Jump to search
Prismatotruncated icositetrachoric tetracomb
Rank5
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymPaticot
Coxeter diagramx3x4o3x3o ()
Elements
Tera24N octahedral prisms, 32N triangular-hexagonal duoprisms, 3N small rhombated tesseracts, N prismatorhombated icositetrachora
Cells96N+96N+96N triangular prisms, 48N octahedra, 96N hexagonal prisms, 12N truncated octahedra, 24N small rhombicuboctahedra
Faces192N+192N triangles, 72N+288N+288N squares, 96N hexagons
Edges144N+288N+576N
Vertices288N
Vertex figureWedge pyramid, edge lengths 1 (base edges of wedge), 2 (sides and top of wedge and lacings to base square), and 3 (lacings to top edge)
Related polytopes
ArmyPaticot
RegimentPaticot
ConjugateQuasiprismatotruncated icositetrachoric tetracomb
Abstract & topological properties
OrientableYes
Properties
SymmetryU5
ConvexYes
NatureTame

The prismatotruncated icositetrachoric tetracomb or paticot, also called the runcitruncated icositetrachoric tetracomb is a convex uniform tetracomb. 2 prismatorhombated icositetrachora, 1 small rhombated tesseract, 1 octahedral prism, and 2 triangular-hexagonal duoprisms join at each vertex of this tessellation. As the name suggests, it is the runcitruncation of the icositetrachoric tetracomb.

External links[edit | edit source]