Sphenocorona

In geometry, the sphenocorona is one of the Johnson solids (J86). It is one of the elementary Johnson solids that do not arise from "cut and paste" manipulations of the Platonic and Archimedean solids.

Sphenocorona
TypeJohnson
J85J86J87
Faces2x2+2x4 triangles
2 squares
Edges22
Vertices10
Vertex configuration4(33.4)
2(32.42)
2x2(35)
Symmetry groupC2v
Dual polyhedron-
Propertiesconvex
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.

Johnson uses the prefix spheno- to refer to a wedge-like complex formed by two adjacent lunes, a lune being a square with equilateral triangles attached on opposite sides. Likewise, the suffix -corona refers to a crownlike complex of 8 equilateral triangles. Joining both complexes together results in the sphenocorona.

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