Great retrohecatonicosihexacosihecatonicosachoron

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Great retrohecatonicosihexacosihecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGirhixhi
Elements
Cells600 truncated tetrahedra, 120 quasitruncated great stellated dodecahedra, 120 icosidodecatruncated icosidodecahedra
Faces2400 triangles, 2400 hexagons, 720 decagons, 1440 decagrams
Edges3600+7200
Vertices3600
Vertex figureIsosceles triangular retroprism, edge lengths 1 (2), 3 (4), (5+5)/2 (2), and (5–5)/2 (4)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesIdtid–6–tut:
 Idtid–10/3–quit gissid: 72°
 Idtid–10–idtid: 36°
 Quit gissid–3–tut:
Related polytopes
ArmySemi-uniform Srahi
RegimentGwav ditathi
ConjugateSmall retrohecatonicosihexacosihecatonicosachoron
Abstract & topological properties
Euler characteristic–1080
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The great retrohecatonicosihexacosihecatonicosachoron, or girhixhi, is a nonconvex uniform polychoron that consists of 120 quasitruncated great stellated dodecahedra, 600 truncated tetrahedra, and 120 icosidodecatruncated icosidodecahedra. Two quasitruncated great stellated dodecahedra, two truncated tetrahedra, and four icosidodecatruncated icosidodecahedra join at each vertex.

Vertex coordinates[edit | edit source]

The vertices are the same as those of the regiment colonel, the great sphenoverted ditrigonal trishecatonicosachoron.

External links[edit | edit source]