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).

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

The 92 Johnson solids were named and described by Norman Johnson in 1966.

Formulae

The following formulae for volume and surface area can be used if all faces are regular, with edge length a:[1]

V=(\frac{1}{2}\sqrt{1%2B3\sqrt{\frac{3}{2}%2B\sqrt{13%2B3\sqrt{6}}}})a^3\approx1.51535...a^3

A=(2%2B3\sqrt{3})a^2\approx7.19615...a^2

References

  1. ^ Stephen Wolfram, "Sphenocorona" from Wolfram Alpha. Retrieved July 21, 2010.

External links