Polar facetoprismatotetracontoctachoron

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Polar facetoprismatotetracontoctachoron
Rank4
TypeUniform
Notation
Bowers style acronymLifpic
Elements
Cells192 triangular prisms, 48 small cubicuboctahedra
Faces384 triangles, 432 squares, 144 octagons
Edges576
Vertices144
Edge figuretrip 4 trip 4 trip 3 socco 8 socco 4 socco 8 socco 3
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesTrip–4–trip:
 Socco–8–socco: 135°
 Socco–3–trip: 30°
Number of external pieces1728
Level of complexity19
Related polytopes
ArmySpic
RegimentSpic
ConjugateOmnifacetoprismatotetracontoctachoron
Abstract & topological properties
Flag count16128
Euler characteristic288
OrientableYes
Properties
SymmetryF4×2, order 2304
ConvexNo
NatureWild

The polar facetoprismatotetracontoctachoron, or lifpic, is a nonconvex uniform polychoron that consists of 48 small cubicuboctahedra and 192 triangular prisms. Eight small cubicuboctahedra and eight triangular prisms join at each vertex.

It also has octahedra plus their central squares as pseudofacets.

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]