Deltoidal hexecontahedron

Deltoidal hexecontahedron
Deltoidal hexecontahedron
(Click here for rotating model)
Type Catalan
Conway notation oD or deD
Coxeter diagram
Face polygon
kite
Faces 60
Edges 120
Vertices 62 = 12 + 20 + 30
Face configuration V3.4.5.4
Symmetry group Ih, H3, [5,3], (*532)
Rotation group I, [5,3]+, (532)
Dihedral angle 154.1214° arccos(-19-85/41)
Properties convex, face-transitive

rhombicosidodecahedron
(dual polyhedron)
Deltoidal hexecontahedron net
Net
3D model of a deltoidal hexecontahedron

In geometry, a deltoidal hexecontahedron (also sometimes called a trapezoidal hexecontahedron, a strombic hexecontahedron, or a tetragonal hexacontahedron[1]) is a Catalan solid which is the dual polyhedron of the rhombicosidodecahedron, an Archimedean solid. It is one of six Catalan solids to not have a Hamiltonian path among its vertices.[2]

It is topologically identical to the nonconvex rhombic hexecontahedron.

  1. ^ Conway, Symmetries of things, p.284-286
  2. ^ "Archimedean Dual Graph".