Pyriicositetrahemiicositetrachoron

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Pyriicositetrahemiicositetrachoron
Rank4
TypeUniform
Notation
Bowers style acronymPihi
Elements
Cells24 square pyramids
12 elongated bowtie tegums
Faces24+24+24 triangles
24 squares
12 hexagons
Edges24+24 3-fold
24+24 5-fold
Vertices24
Vertex figureNo-symmetry cube faceting
Measures (edge length 1)
Circumradius1
Related polytopes
ArmyIco
RegimentIco
ConjugateNone
Abstract & topological properties
OrientableYes
Properties
Symmetryorder 24
ConvexNo
NatureWild

The pyriicositetrahemiicositetrachoron is a nonconvex scaliform polychoron. It has 24 square pyramids and 12 central elongated bowtie tegums, with 5 square pyramids and 5 elongated bowtie tegums at each vertex.

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]