Triangular orthobicupola
| Triangular orthobicupola | |
|---|---|
| Type | Johnson J26 – J27 – J28 |
| Faces | 8 triangles 6 squares |
| Edges | 24 |
| Vertices | 12 |
| Vertex configuration | 6(32.42) 6(3.4.3.4) |
| Symmetry group | D3h |
| Dihedral angle (degrees) | triangle-to-triangle:141.1° triangle-to-square:125.3° square-to-square:109.5° |
| Dual polyhedron | trapezo-rhombic dodecahedron |
| Properties | convex, composite |
| Net | |
In geometry, the triangular orthobicupola is the 27th Johnson solid. As the name suggests, it can be constructed by attaching two triangular cupolae along their bases. It has an equal number of squares and triangles at each vertex; however, it is not vertex-transitive. It is also called the anticuboctahedron, twisted cuboctahedron, or disheptahedron. In chemistry, the triangular orthobicupola can be found in the coordination structure of crystals with hexagonal closed-packed spheres. The dual polyhedron of the triangular orthobicupola is the trapezo-rhombic dodecahedron. It is a plesiohedron, a space-filling polyhedron defined by Voronoi diagram.