Great dodecacronic hexecontahedron

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Great dodecacronic hexecontahedron
Rank3
TypeUniform dual
Notation
Coxeter diagramm5/3m5/2o3*a
Elements
Faces60 kites
Edges60+60
Vertices12+12+20
Vertex figure20 triangles, 12 pentagrams, 12 decagrams
Measures (edge length 1)
Inradius
Dihedral angle
Central density10
Number of external pieces300
Related polytopes
DualGreat dodecicosidodecahedron
ConjugateSmall dodecacronic hexecontahedron
Convex coreNon-Catalan pentakis dodecahedron
Abstract & topological properties
Flag count480
Euler characteristic–16
OrientableYes
Properties
SymmetryH3, order 120
ConvexNo
NatureTame

The great dodecacronic hexecontahedron is a uniform dual polyhedron. It consists of 60 kites.

If its dual, the great dodecicosidodecahedron, 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 great dodecacronic hexecontahedron with dual edge length 1 has vertex coordinates given by all even permutations of:

External links[edit | edit source]