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Type Johnson
J85 - J86 - J87
Faces 2x2+2x4 triangles
2 squares
Edges 22
Vertices 10
Vertex configuration 4(33.4)
Symmetry group C2v
Dual polyhedron -
Properties convex
Johnson solid 86 net.png

In geometry, the sphenocorona is one of the Johnson solids (J86).

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]

The sphenocorona is one of the elementary Johnson solids that do not arise from "cut and paste" manipulations of the Platonic and Archimedean solids.


The following formulae for volume and surface area can be used if all faces are regular, with edge length a:[2]

See also[edit]


  1. ^ Johnson, Norman W. (1966), "Convex polyhedra with regular faces", Canadian Journal of Mathematics, 18: 169–200, MR 0185507, Zbl 0132.14603, doi:10.4153/cjm-1966-021-8 .
  2. ^ Stephen Wolfram, "Sphenocorona" from Wolfram Alpha. Retrieved July 21, 2010.

External links[edit]