Rhombic hexacosidishecatonicosachoron

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Rhombic hexacosidishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymRixady
Elements
Cells600 cubohemioctahedra, 120 quasitruncated dodecahedra, 120 icosidodecatruncated icosidodecahedra
Faces3600 squares, 2400 hexagons, 1440 decagons, 1440 decagrams
Edges3600+7200+7200
Vertices7200
Vertex figureSkewed bowtie pyramid, base edge lengths 2, 3, 2, 3; lateral edge lengths (5+5)/2, (5+5)/2, (5–5)/2, (5–5)/2
Measures (edge length 1)
Circumradius3
Dichoral anglesOho–6–idtid:
 Co–4–quitdid: 135°
 Idtid–10/3–quitdid: 108°
 Idtid–10–quitdid: 36°
Related polytopes
ArmySemi-uniform Prahi
RegimentHixady
ConjugateRhombic hexacosidishecatonicosachoron
Abstract & topological properties
Euler characteristic–2760
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The rhombic hexacosidishecatonicosachoron, or rixady, is a nonconvex uniform polychoron that consists of 600 cubohemioctahedra, 120 quasitruncated dodecadodecahedra, and 120 icosidodecatruncated icosidodecahedra. One cubohemioctahedron, two quasitruncated dodecadodecahedra, and two icosidodecatruncated icosidodecahedra join at each vertex.

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]