Tetragonal icositetrahedron

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Tetragonal icositetrahedron
Rank3
TypeIsotopic
Notation
Coxeter diagramm4p3p
Elements
Faces24 irregular tetragons
Edges12+12+24
Vertices6+8+12
Vertex figure8 triangles, 12 kites, 6 rhombi
Measures (edge length 1)
Central density1
Related polytopes
DualPyritosnub cube
Abstract & topological properties
Euler characteristic2
SurfaceSphere
OrientableYes
Genus0
Properties
SymmetryB3/2, order 24
ConvexYes
NatureTame

The tetragonal icositetrahedron or dyakis dodecahedron is a variant of the deltoidal icositetrahedron with pyritohedral symmetry. It has 24 identical irregular tetragons for faces, with 3 vertex types.