Rhombic triacontahedral tegum

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Rhombic triacontahedral tegum
Rank4
TypeUniform dual
Notation
Coxeter diagramm2o5m3o ()
Elements
Cells60 rhombic pyramids
Faces120 scalene triangles, 30 golden rhombi
Edges24+40+60
Vertices2+12+20
Vertex figure2 rhombic triacontahedra, 12 pentagonal tegums, 20 triangular tegums
Measures (edge length 1)
Central density1
Related polytopes
DualIcosidodecahedral prism
ConjugateGreat rhombic triacontahedral tegum
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryH3×A1, order 240
ConvexYes
NatureTame

The rhombic triacontahedral tegum, also called the rhombic triacontahedral bipyramid, is a convex isochoric polychoron with 60 rhombic pyramids as cells. As the name suggests, it can be constructed as a tegum based on the rhombic triacontahedron.

In the variant obtained as the dual of the uniform icosidodecahedral prism, the height from the top to the bottom edges is times the edge length of the base rhombic triacontahedron.