Small retrofrustary dishexacositetrishecatonicosachoron

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Small retrofrustary dishexacositetrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSirf duxthi
Elements
Cells120 did, 600 oct, 120 gird, 120 gidditdid, 120 siid, 600 toe
Faces4800 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams, 3600 hexagons, 1440 decagrams
Edges7200+7200
Vertices3600
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Xhi
RegimentAffixthi
ConjugateGifduxthi
Abstract & topological properties
Euler characteristic3840
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small retrofrustary dishexacositetrishecatonicosachoron, or sirf duxthi, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra, 600 octahedra, 120 great rhombidodecahedra, 120 great ditrigonal dodecicosidodecahedra, 120 small icosicosidodecahedra, and 600 truncated octahedra. One dodecadodecahedron, one octahedron, two great rhombidodecahedra, two great ditrigonal dodecicosidodecahedra, two small icosicosidodecahedra, and four truncated octahedra join at each vertex.

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]