Triangular orthobicupola
| Triangular orthobicupola | |
|---|---|
| Missing image Triangular_orthobicupola.png Triangular orthobicupola | |
| Type | Johnson J26 - J27 - J28 |
| Faces | 8 triangles 6 squares |
| Edges | 24 |
| Vertices | 12 |
| Vertex configuration | 6 of 32.42 6 of 3.4.3.4 |
| Symmetry group | - |
| Dual polyhedron | - |
| Properties | convex |
In geometry, the triangular orthobicupola is one of the Johnson solids (J27). As the name suggests, it can be constructed by attaching two triangular cupolas (J3) along their bases. It has an equal number of squares and triangles at each vertex; however, it is not vertex-regular.
The triangular orthobicupola has a superficial resemblance to the cuboctahedron, which would be known as the triangular gyrobicupola in the nomenclature of Johnson solids — the difference is that the two triangular cupolas which make up the triangular orthobicupola are joined so that pairs of matching sides abut (hence, "ortho"); the cuboctahedron is joined so that triangles abut squares and vice versa.
The elongated triangular orthobicupola (J35), which is constructed by elongating this solid, has a (different) special relationship with the rhombicuboctahedron.
The 92 Johnson solids were named and described by Norman Johnson in 1966.