Medial rhombiprismic hecatonicosihecatonicosachoron

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Medial rhombiprismic hecatonicosihecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymMarphihy
Elements
Cells720 decagonal prisms, 120 great rhombidodecahedra, 120 quasitruncated dodecadodecahedra
Faces3600+3600 squares, 1440 decagons, 1440 decagrams
Edges3600+7200+7200
Vertices7200
Vertex figureButterfly pyramid, base edge lengths (5–5)/2, 2, (5–5)/2, 2; lateral edge lengths 2, 2, (5+5)/2, (5+5)/2
Measures (edge length 1)
Circumradius
Dichoral anglesGird–10/3–quitdid: 144°
 Quitdid–4–dip:
 Gird–4–dip:
 Quitdid–10–dip: 18°
Related polytopes
ArmySemi-uniform Grix
RegimentMipthi
ConjugateRhombiprismic hecatonicosihecatonicosachoron
Abstract & topological properties
Euler characteristic–1680
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The medial rhombiprismic hecatonicosihecatonicosachoron, or marphihy, is a nonconvex uniform polychoron that consists of 120 great rhombidodecahedra, 720 decagonal prisms, and 120 quasitruncated dodecadodecahedra. One great rhombidodecahedron, two decagonal prisms, and two quasitruncated dodecadodecahedra join at each vertex.

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]