![cover image](https://wikiwandv2-19431.kxcdn.com/_next/image?url=https://upload.wikimedia.org/wikipedia/commons/thumb/3/30/Triangular_orthobicupola.png/640px-Triangular_orthobicupola.png&w=640&q=50)
Triangular orthobicupola
27th Johnson solid; 2 triangular cupolae joined base-to-base / From Wikipedia, the free encyclopedia
Dear Wikiwand AI, let's keep it short by simply answering these key questions:
Can you list the top facts and stats about Triangular orthobicupola?
Summarize this article for a 10 year old
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-transitive. It is also called an anticuboctahedron, twisted cuboctahedron or disheptahedron. It is also a canonical polyhedron.
Triangular orthobicupola | |
---|---|
![]() | |
Type | Johnson J26 – J27 – J28 |
Faces | 2+6 triangles 6 squares |
Edges | 24 |
Vertices | 12 |
Vertex configuration | 6(32.42) 6(3.4.3.4) |
Symmetry group | D3h |
Dual polyhedron | Trapezo-rhombic dodecahedron |
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.[1]
The triangular orthobicupola is the first in an infinite set of orthobicupolae.