Small ditrigonary hexacosihecatonicositrishecatonicosachoron

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Small ditrigonary hexacosihecatonicositrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSidtexhithi
Elements
Cells120 gid, 600 oct, 120 gidditdid, 120 ided, 120 siddy
Faces4800 triangles, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagons, 720 decagrams
Edges7200
Vertices1200
Measures (edge length 1)
Circumradius
Related polytopes
ArmyRahi
RegimentRissidtixhi
ConjugateGidtexhithi
Abstract & topological properties
Euler characteristic4440
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small ditrigonary hexacosihecatonicositrishecatonicosachoron, or sidtexhithi, is a nonconvex uniform polychoron that consists of 120 great icosidodecahedra, 600 octahedra, 120 great ditrigonal dodecicosidodecahedra, 120 icosidodecadodecahedra, and 120 small dodecicosahedra. Three great icosidodecahedra, three octahedra, six great ditrigonal dodecicosidodecahedra, six icosidodecadodecahedra, and six small dodecicosahedra 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]