Faceted rectified pentachoron

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Faceted rectified pentachoron
Rank4
TypeUniform
Notation
Bowers style acronymFirp
Coxeter diagram(x3/2o3o3x)/2 (()/2)
Elements
Cells
Faces20 triangles, 15 squares
Edges30
Vertices10
Vertex figureTriangular retroprism, edge lengths 1 (base) and 2 (sides)
Edge figuretet 3 trip 4 trip 4 trip 3
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral angleTet–3–trip:
Trip–4–trip:
Central density3
Number of external pieces115
Level of complexity23
Related polytopes
ArmyRap
RegimentRap
ConjugateNone
Convex coreJoined pentachoron
Abstract & topological properties
Flag count480
Euler characteristic0
OrientableYes
Properties
SymmetryA4, order 120
Flag orbits4
ConvexNo
NatureTame

The faceted rectified pentachoron, or firp, is a nonconvex uniform polychoron that consists of 5 regular tetrahedra and 10 triangular prisms. Two tetrahedra and six triangular prisms join at each vertex.

It is also the crossed tetrahedral cuploid.

Vertex coordinates[edit | edit source]

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

Gallery[edit | edit source]

External links[edit | edit source]