Sphenocorona
| Sphenocorona | |
|---|---|
 | |
| Type | Johnson J85 - J86 - J87 |
| Faces | 2x2+2x4 triangles 2 squares |
| Edges | 22 |
| Vertices | 10 |
| Vertex configuration | 4(33.4) 2(32.42) 2x2(35) |
| Symmetry group | C2v |
| Dual polyhedron | - |
| Properties | convex |
| Net | |
 | |
In geometry, the sphenocorona is one of the Johnson solids (J86).
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 sphenocorona is one of the elementary Johnson solids that do not arise from "cut and paste" manipulations of the Platonic and Archimedean solids. However, it contains a cluster of eight triangles that can be aligned with a congruent patch of faces on the regular icosahedron.
Formulae
The following formulae for volume and surface area can be used if all faces are regular, with edge length a:[2]
See also
References
- ^ 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.
- ^ Stephen Wolfram, "Sphenocorona" from Wolfram Alpha. Retrieved July 21, 2010.
External links
- Weisstein, Eric W., "Sphenocorona" ("Johnson solid") at MathWorld.
 | This polyhedron-related article is a stub. You can help Wikipedia by expanding it. |