Disicositetrintercepted disicositetrachoron

From Polytope Wiki
Jump to navigation Jump to search
Disicositetrintercepted disicositetrachoron
Rank4
TypeUniform
Notation
Bowers style acronymDindi
Elements
Cells24 cuboctahedra, 24 truncated cubes, 24 small rhombicuboctahedra, 24 great rhombicuboctahedra
Faces96+192 triangles, 144+288 squares, 96 hexagons, 144 octagons
Edges288+576
Vertices288
Vertex figureInverted wedge, edge lengths 1 (3), 2 (6), 3 (2), and 2+2 94)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesSirco–4–co: 135°
 Sirco–3–sirco: 120°
 Girco–6–girco: 120°
 Co–3–tic: 120°
 Tic–8–girco: 90°
 Sirco–4–girco: 90°
Related polytopes
ArmySrico
RegimentSrico
ConjugateIcositetrintercepted trisicositetrachoron
Convex coreIcositetrachoron
Abstract & topological properties
Flag count17280
Euler characteristic288
OrientableYes
Properties
SymmetryF4, order 1152
ConvexNo
NatureWild

The disicositetrintercepted disicositetrachoron, or dindi, is a nonconvex uniform polychoron that consists of 24 cuboctahedra, 24 small rhombicuboctahedra, 24 truncated cubes, and 24 great rhombicuboctahedra. One cuboctahedron, two small rhombicuboctahedra, two truncated cubes, and four great rhombicuboctahedra join at each vertex.

Vertex coordinates[edit | edit source]

The vertices are the same as those of the regiment colonel, the small rhombated icositetrachoron.

External links[edit | edit source]