Small ditrigonary prismatohecatonicosihexacosidishecatonicosachoron

From Polytope Wiki
Jump to navigation Jump to search
Small ditrigonary prismatohecatonicosihexacosidishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSiddit phixady
Elements
Cells120 sidtid, 120 ided, 120 gidditdid, 720 dip, 600 cho
Faces2400 triangles, 5400 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagons, 720 decagrams
Edges7200
Vertices1200
Measures (edge length 1)
Circumradius
Related polytopes
ArmyRahi
RegimentRissidtixhi
ConjugateGiddit phixady
Abstract & topological properties
Euler characteristic6840
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small ditrigonary prismatohecatonicosihexacosidishecatonicosachoron, or siddit phixady, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra, 120 icosidodecadodecahedra, 120 great ditrigonal dodecicosidodecahedra, 720 decagonal prisms, and 600 cubohemioctahedra. Two small ditrigonary icosidodecahedra, six icosidodecadodecahedra, six great ditrigonal dodecicosidodecahedra, twelve decagonal prisms, and six cubohemioctahedra join at each vertex.

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]