Disicositetraquasitruncated disicositetrachoron

The disicositetraquasitruncated disicositetrachoron, or diquitdi, is a nonconvex uniform polychoron that consists of 24 truncated octahedra, 24 quasitruncated hexahedra, 24 small cubicuboctahedra, and 24 cuboctatruncated cuboctahedra. 1 quasitruncated hexahedron, 1 truncated octahedron, 1 small cubicuboctahedron, and 2 cuboctatruncated cuboctahedra join at each vertex.

Disicositetraquasitruncated disicositetrachoron
Rank4
TypeUniform
Notation
Bowers style acronymDiquitdi
Coxeter diagramx3x4/3x3o4/3*a4*c ()
Elements
Cells24 truncated octahedra, 24 quasitruncated hexahedra, 24 small cubicuboctahedra, 24 cuboctatruncated cuboctahedra
Faces192 triangles, 144 squares, 192 hexagons, 144 octagons, 144 octagrams
Edges288+576+576
Vertices576
Vertex figureCrossed isosceles trapezoidal pyramid, base edge lengths 1, 2+2, 2, 2+2; lateral edge lengths 3, 3, 2–2, 2–2
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesSocco–8–cotco: 135°
 Socco–3–quith: 120°
 Toe–6–cotco: 120°
 Socco–4–toe: 45°
 Quith–8/3–cotco: 45°
Central density19
Related polytopes
ArmySemi-uniform Prico, edge lengths (small rhombicuboctahedra), (sides of triangular prisms)
RegimentSuti
ConjugateDisicositetratruncated disicositetrachoron
Abstract & topological properties
Flag count18432
Euler characteristic–144
OrientableYes
Properties
SymmetryF4, order 1152
ConvexNo
NatureTame

Vertex coordinates edit

Its vertices are the same as those of its regiment colonel, the small tetrisicositetrachoron.

External links edit