Small prismated icositetrachoric tetracomb

From Polytope Wiki
Jump to navigation Jump to search
Small prismated icositetrachoric tetracomb
Rank5
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymSpict
Coxeter diagramx3o4o3x3o ()
Elements
Tera32N triangular duoprisms, 24N octahedral prisms, 3N icositetrachora, N small prismatotetracontoctachora
Cells96N+96N+96N triangular prisms, 12N+24N+48N octahedra
Faces96N+96N+192N triangles, 288N squares
Edges144N+288N
Vertices72N
Vertex figureSquare antifastegium, edge lengths 1 (base cube and top square) and 2 (sides)
Related polytopes
ArmySpict
RegimentSpict
ConjugateQuasiprismated icositetrachoric tetracomb
Abstract & topological properties
OrientableYes
Properties
SymmetryU5
ConvexYes
NatureTame

The small prismated icositetrachoric tetracomb or spict, also called the runcinated icositetrachoric tetracomb is a convex uniform tetracomb. 2 small prismatotetracontoctachora, 1 icositetrachoron, 4 octahedral prisms, and 4 triangular duoprisms join at each vertex of this tessellation. As the name suggests, it is the runcination of the icositetrachoric tetracomb.

External links[edit | edit source]