Small icosacronic hexecontahedron

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Small icosacronic hexecontahedron
Rank3
TypeUniform dual
Notation
Coxeter diagramm5/2o3m3*a
Elements
Faces60 kites
Edges60+60
Vertices12+20+20
Vertex figure20 triangles, 12 pentagrams, 20 hexagons
Measures (edge length 1)
Inradius
Dihedral angle
Central density2
Number of external pieces120
Related polytopes
DualSmall icosicosidodecahedron
ConjugateGreat icosacronic hexecontahedron
Convex coreNon-Catalan deltoidal hexecontahedron
Abstract & topological properties
Flag count480
Euler characteristic–8
OrientableYes
Properties
SymmetryH3, order 120
ConvexNo
NatureTame

The small icosacronic hexecontahedron is a uniform dual polyhedron. It consists of 60 kites.

If its dual, the small icosicosidodecahedron, has an edge length of 1, then the short edges of the kites will measure , and the long edges will be . ​The kite faces will have length , and width . ​The kites have two interior angles of , one of , and one of .

Vertex coordinates[edit | edit source]

A small icosacronic hexecontahedron with dual edge length 1 has vertex coordinates given by all even permutations of:

External links[edit | edit source]