Small ditetrahedronary cubidishecatonicosachoron

From Polytope Wiki
(Redirected from Sidtacady)
Jump to navigation Jump to search
Small ditetrahedronary cubidishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSidtacady
Elements
Cells120 compounds of five cubes, 120 icosidodecahedra, 120 small rhombicosidodecahedra
Faces2400 triangles, 3600 squares, 1440 pentagons
Edges3600
Vertices600
Measures (edge length 1)
Circumradius
Related polytopes
ArmyHi
RegimentSidtaxhi
ConjugateGadtacady
Abstract & topological properties
Flag count115200
Euler characteristic3600
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small ditetrahedronary cubidishecatonicosachoron, or sidtacady, is a nonconvex uniform polychoron that consists of 600 cubes (lying in the same hyperplanes, forming 120 compounds of five cubes), 120 icosidodecahedra, and 120 small rhombicosidodecahedra. Eight cubes (or four compounds), six icosidodecahedra, and twelve small rhombicosidodecahedra join at each vertex.

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]