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.
^Conway, Symmetries of things, p.284-286
^"Archimedean Dual Graph".
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In geometry, a deltoidalhexecontahedron (also sometimes called a trapezoidal hexecontahedron, a strombic hexecontahedron, or a tetragonal hexacontahedron)...
topologically identical to the convex deltoidalhexecontahedron which has kite faces. The rhombic hexecontahedron can be dissected into 20 acute golden...
These face-transitive figures have (*n32) reflectional symmetry. Deltoidalhexecontahedron Tetrakis hexahedron, another 24-face Catalan solid which looks...
In geometry, the great deltoidalhexecontahedron (or great sagittal ditriacontahedron) is a nonconvex isohedral polyhedron. It is the dual of the nonconvex...
In geometry, the medial deltoidalhexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the rhombidodecadodecahedron. Its 60 intersecting...
stella octangula). This trend continues on with the deltoidal icositetrahedron and deltoidalhexecontahedron for the dual pairings of the other regular polyhedra...
rhombidodecahedron (having the square faces in common). The great deltoidalhexecontahedron is a nonconvex isohedral polyhedron. It is the dual of the nonconvex...
rhombicosahedron (having the square faces in common). The medial deltoidalhexecontahedron (or midly lanceal ditriacontahedron) is a nonconvex isohedral...
kite. 60 Deltoidalhexecontahedron Each face is a kite. Pentakis dodecahedron Each face is an isosceles triangle. Pentagonal hexecontahedron Each face...
solids are chiral: the pentagonal icositetrahedron and the pentagonal hexecontahedron, dual to the chiral snub cube and snub dodecahedron. These each come...
kI Pentakis dodecahedron kD Deltoidalhexecontahedron oD = oI Disdyakis triacontahedron mD = mI Pentagonal hexecontahedron gD = gI The truncated icosahedron...
great rhombidodecahedron. It is visually identical to the great deltoidalhexecontahedron. Its faces are antiparallelograms. Each antiparallelogram has...
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