Elongated triangular orthobicupola
In geometry, the elongated triangular orthobicupola or cantellated triangular prism is one of the Johnson solids (J35). As the name suggests, it can be constructed by elongating a triangular orthobicupola (J27) by inserting a hexagonal prism between its two halves. The resulting solid is superficially similar to the rhombicuboctahedron (one of the Archimedean solids), with the difference that it has threefold rotational symmetry about its axis instead of fourfold symmetry.
Elongated triangular orthobicupola | |
---|---|
Type | Johnson J34 – J35 – J36 |
Faces | 2+6 triangles 2x3+6 squares |
Edges | 36 |
Vertices | 18 |
Vertex configuration | 6(3.4.3.4) 12(3.43) |
Symmetry group | D3h |
Dual polyhedron | - |
Properties | convex |
Net | |
A Johnson solid is one of 92 strictly convex polyhedra that is composed of regular polygon faces but are not uniform polyhedra (that is, they are not Platonic solids, Archimedean solids, prisms, or antiprisms). They were named by Norman Johnson, who first listed these polyhedra in 1966.