Deltoidal hexecontahedral tegum

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Deltoidal hexecontahedral tegum
Rank4
TypeUniform dual
Notation
Coxeter diagramm2m5o3m ()
Elements
Cells120 kite pyramids
Faces120+120 scalene triangles, 60 kites
Edges24+40+60+60+60+60
Vertices2+12+20+30
Vertex figures2 deltoidal hexecontahedra
 12 pentagonal tegums
 20 triangular tegums
 30 octahedra
Measures (edge length 1)
Central density1
Related polytopes
DualSmall rhombicosidodecahedral prism
ConjugateGreat deltoidal hexecontahedral tegum
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryH3×A1, order 240
ConvexYes
NatureTame

The deltoidal hexecontahedral tegum, also called the deltoidal hexecontahedral bipyramid, is a convex isochoric polychoron with 120 kite pyramids as cells. As the name suggests, it can be constructed as a tegum based on the deltoidal hexecontahedron.

In the variant obtained as the dual of the uniform small rhombicosidodecahedral prism, if the short edges of the deltoidal hexecontahedron have length 1, its height is .