Retrofrustary trisicositetrachoron

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Retrofrustary trisicositetrachoron
Rank4
TypeUniform
Notation
Bowers style acronymRifti
Elements
Cells24 quasirhombicuboctahedra, 24 small cubicuboctahedra, 24 small rhombihexahedra
Faces192 triangles, 144+288 squares, 144 octagons
Edges576+576
Vertices288
Vertex figureBlend of 2 crossed skewed wedges
Measures (edge length 1)
Circumradius
Dichoral anglesSocco–8–sroh: 135°
 Querco–4–sroh: 90°
 Querco–4–socco: 90°
 Querco–3–socco: 60°
Related polytopes
ArmyCont, edge length
RegimentAfdec
ConjugateAntifrustary trisicositetrachoron
Abstract & topological properties
Flag count13824
Euler characteristic-168
OrientableNo
Properties
SymmetryF4, order 1152
ConvexNo
NatureTame

The retrofrustary trisicositetrachoron, or rifti, is a nonconvex uniform polychoron that consists of 24 quasirhombicuboctahedra, 24 small rhombihexahedra, and 24 small cubicuboctahedra. Two quasirhombicuboctahedra, two small rhombihexahedra, and two small cubicuboctahedra join at each vertex.

It can be constructed as a blend of three great skewverted prismatohexadecadisoctachora.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the antifrustary distetracontoctachoron.

External links[edit | edit source]