Medial retropental hecatonicosachoron

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Medial retropental hecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymMriphi
Elements
Cells120 siddy
Faces1200 hexagons, 720 decagons
Edges3600
Vertices720
Vertex figurePentagonal stephanoid
Measures (edge length 1)
Circumradius
Number of external pieces113040
Level of complexity278
Related polytopes
ArmyRox
RegimentRighi
ConjugateGriphi
Convex coreHecatonicosachoron
Abstract & topological properties
Euler characteristic–1080
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The medial retropental hecatonicosachoron, or mriphi, is a nonconvex noble uniform polychoron that consists of 120 small dodecicosahedra. Ten small dodecicosahedra meet at each vertex.

Gallery[edit | edit source]

Card with cell counts, vertex figure, and cross-sections.

Vertex coordinates[edit | edit source]

The vertices are the same as those of the regiment colonel, the rectified great hecatonicosachoron.

External links[edit | edit source]