Great tetrisicositetrachoron

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Great tetrisicositetrachoron
Rank4
TypeUniform
Notation
Bowers style acronymGuti
Coxeter diagramx3x4x3o4/3*a ()
Elements
Cells24 truncated octahedra, 24 truncated cubes, 24 quasirhombicuboctahedra, 24 great rhombicuboctahedra
Faces192 triangles, 144+288 squares, 192 hexagons, 144 octagons
Edges288+576+576
Vertices576
Vertex figureCrossed isosceles trapezoidal pyramid, base edge lengths 1, 2, 2, 2; lateral edge lengths 3, 3, 2+2, 2+2
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesQuerco–4–toe: 135°
 Querco–4–girco: 90°
 Querco–3–tic: 60°
 Toe–6–girco: 60°
 Tic–8–girco: 45°
Central density10
Related polytopes
ArmySemi-uniform Grico, edge lengths (truncated cubes), 1 (sides of triangular prisms)
RegimentDitdi
ConjugateSmall tetrisicositetrachoron
Abstract & topological properties
Flag count18432
Euler characteristic0
OrientableYes
Properties
SymmetryF4, order 1152
ConvexNo
NatureTame

The great tetrisicositetrachoron, or guti, is a nonconvex uniform polychoron that consists of 24 truncated octahedra, 24 truncated cubes, 24 quasirhombicuboctahedra, and 24 great rhombicuboctahedra. 1 truncated cube 1 truncated octahedron, 1 quasirhombicuboctahedron, and 2 great rhombicuboctahedra join at each vertex.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the disicositetratruncated disicositetrachoron.

External links[edit | edit source]