Small hexacosifaceted prismatodishecatonicosachoron

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Small hexacosifaceted prismatodishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSix fipady
Elements
Cells1200 triangular prisms, 120 dodecahedra, 120 small rhombicosidodecahedra
Faces2400 triangles, 3600 squares, 1440 pentagons
Edges3600+3600
Vertices2400
Vertex figureIrregular triangular hemiantipodium, edge lengths (1+5)/2 (top triangle), 1 (base pseudo-triangle), and 2 (sides)
Measures (edge length 1)
Circumradius
Dichoral anglesSrid–3–trip: 150°
 Srid–5–doe: 144°
 Srid–4–trip:
Number of external pieces8760
Level of complexity23
Related polytopes
ArmySidpixhi
RegimentSidpixhi
ConjugateGreat hexacosifaceted prismatodishecatonicosachoron
Abstract & topological properties
Flag count115200
Euler characteristic1200
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The small hexacosifaceted prismatodishecatonicosachoron, or six fipady, is a nonconvex uniform polychoron that consists of 120 dodecahedra, 1200 triangular prisms, and 120 small rhombicosidodecahedra. One dodecahedron, three triangular prisms, and three small rhombicosidodecahedra join at each vertex.

It also has 600 tetrahedra and 720 pentagonal 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 disprismatohexacosihecatonicosachoron.

External links[edit | edit source]