Rhombic dodecahedral tegum

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Rhombic dodecahedral tegum
Rank4
TypeUniform dual
Notation
Coxeter diagramm2o4m3o ()
Elements
Cells24 rhombic pyramids
Faces48 scalene triangles, 12 rhombi
Edges12+16+24
Vertices2+6+8
Vertex figure2 rhombic dodecahedra, 6 octahedra, 8 triangular tegums
Measures (edge length 1)
Central density1
Related polytopes
DualCuboctahedral prism
ConjugateNone
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryB3×A1, order 96
ConvexYes
NatureTame

The rhombic dodecahedral tegum, also called the rhombic dodecahedral bipyramid, is a convex isochoric polychoron with 24 rhombic pyramids as cells. As the name sugests, it can be constructed as a tegum based on the rhombic dodecahedron.

In the variant obtained as the dual of the uniform cuboctahedral prism, the height from the top to the bottom vertex is times the edge length of the base rhombic dodecahedron.