Hecatonicosafaceted prismatodishecatonicosachoron

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Hecatonicosafaceted prismatodishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymHi fipady
Elements
Cells720 pentagonal prisms, 120 great stellated dodecahedra, 120 rhombidodecadodecahedra
Faces3600 squares, 1440 pentagons, 1440 pentagrams
Edges3600+3600
Vertices2400
Vertex figureTriangular hemiantipodium, edge lengths (5–1)/2 (top triangle), (1+5)/2 (base pseudo-triangle), and 2 (sides)
Measures (edge length 1)
Circumradius2
Dichoral anglesRaded–4–pip:
 Raded–5/2–gissid: 36°
 Ided–5–pip: 18°
Number of external pieces99720
Level of complexity343
Related polytopes
ArmySidpixhi, edge length
RegimentSiddapady
ConjugateMedial hecatonicosafaceted prismatodishecatonicosachoron
Abstract & topological properties
Flag count115200
Euler characteristic720
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The hecatonicosafaceted prismatodishecatonicosachoron, or hi fipady, is a nonconvex uniform polychoron that consists of 120 great stellated dodecahedra, 720 pentagonal prisms, and 120 rhombidodecadodecahedra. One great stellated dodecahedron, three pentagonal prisms, and three rhombidodecadodecahedra join at each vertex.

It also has 120 dodecahedra and 720 pentagrammic prisms as pseudofacets.

Gallery[edit | edit source]

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


Vertex coordinates[edit | edit source]

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

External links[edit | edit source]