Augmented sphenocorona
| Augmented sphenocorona | |
|---|---|
 | |
| Type |
Johnson J86 - J87 - J88 |
| Faces |
4+6x2 triangles 1 square |
| Edges | 26 |
| Vertices | 11 |
| Vertex configuration |
1(34) 2(33.4) 3x2(35) 2(34.4) |
| Symmetry group | Cs |
| Dual polyhedron | - |
| Properties | convex |
| Net | |
 | |
In geometry, the augmented sphenocorona is one of the Johnson solids (J87), and is obtained by adding a square pyramid to one of the square faces of the sphenocorona. It is the only Johnson solid arising from "cut and paste" manipulations where the components are not all prisms, antiprisms or sections of Platonic or Archimedean solids.
A Johnson solid is one of 92 strictly convex polyhedra that have regular faces but are not uniform (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.
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