Biaugmented truncated cube
From The Right Wiki
Jump to navigationJump to search
| Biaugmented truncated cube | |
|---|---|
| File:Biaugmented truncated cube.png | |
| Type | Johnson J66 – J67 – J68 |
| Faces | 2x8 triangles 2+8 squares 4 octagons |
| Edges | 60 |
| Vertices | 32 |
| Vertex configuration | 8(3.82) 8(3.43) 16(3.4.3.8) |
| Symmetry group | D4h |
| Dual polyhedron | - |
| Properties | convex |
| Net | |
| File:Johnson solid 67 net.png | |
In geometry, the biaugmented truncated cube is one of the Johnson solids (J67). As its name suggests, it is created by attaching two square cupolas (J4) onto two parallel octagonal faces of a truncated cube. 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]
External links
- ↑ Johnson, Norman W. (1966), "Convex polyhedra with regular faces", Canadian Journal of Mathematics, 18: 169–200, doi:10.4153/cjm-1966-021-8, MR 0185507, Zbl 0132.14603.