Pyritohedral antitegum

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Pyritohedral antitegum
Rank4
TypeIsotopic
Notation
Coxeter diagramp2o4p3p
Elements
Cells24 triangular-pentagonal antinotches
Faces48 scalene triangles, 12 rhombi, 12+24 kites
Edges16+24+24+48
Vertices2+6+8+24
Vertex figure24 sphenoids, 6 tetragonal disphenoids, 8 triangular gyrotegums, 2 pyritohedra
Measures (edge length 1)
Central density1
Related polytopes
DualPyritohedral icosahedral antiprism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
Symmetry(B3/2×2×A1)/2, order 48
ConvexYes
NatureTame

The pyritohedral antitegum is a convex isochoric polychoron with 24 triangular-pentagonal antinotches as cells. It is dual to the pyritohedral icosahedral antiprism.

Each cell of this polychoron has mirror symmetry, with 1 rhombus, 3 kites, and 4 scalene triangles for faces.

Isogonal derivatives[edit | edit source]

Substitution by vertices of these following elements will produce these convex isogonal polychora: