Dishecatonicosintercepted hecatonicosihexacosichoron

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Dishecatonicosintercepted hecatonicosihexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymDohinahix
Elements
Cells600 octahedra, 120 truncated dodecahedra, 120 small icosicosidodecahedra, 120 great rhombicosidodecahedra
Faces2400+2400 triangles, 1800 squares, 720 pentagrams, 2400 hexagons, 1440 decagons
Edges3600+7200
Vertices3600
Vertex figureInverted wedge, edge lengths 1 (4), 2 (2), (5–1)/2 (2), 3 (4), and (5+5)/2 (4)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesSiid–3–oct:
 Siid–5/2–siid: 144°
 Tid–10–grid: 144°
 Oct–3–tid:
 Siid–6–grid: 120°
 Grid–4–grid: 90°
Related polytopes
ArmySemi-uniform Srahi, edge lengths (pentagons), 1 (octahedra)
RegimentWavhiddix
ConjugateHecatonicosintercepted hexacosidishecatonicosachoron
Abstract & topological properties
Flag count216000
Euler characteristic3000
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The dishecatonicosintercepted hecatonicosihexacosichoron, or dohinahix, is a nonconvex uniform polychoron that consists of 600 octahedra, 120 small icosicosidodecahedra, 120 truncated dodecahedra, and 120 great rhombicosidodecahedra. One octahedron, two small icosicosidodecahedra, two truncated dodecahedra, and four great rhombicosidodecahedra join at each vertex.

Vertex coordinates[edit | edit source]

The vertices are the same as those of the regiment colonel, the sphenoverted hecatonicosidishexacosichoron.

External links[edit | edit source]