Harman Patil (Editor)

Sphenocorona

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Edges
  
22

Vertex configuration
  
4(3.4) 2(3.4) 2x2(3)

Vertices
  
10

Symmetry group
  
C2v

Sphenocorona

Type
  
Johnson J85 - J86 - J87

Faces
  
2x2+2x4 triangles 2 squares

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.

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

Formulae

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

V = ( 1 2 1 + 3 3 2 + 13 + 3 6 ) a 3 1.51535... a 3

A = ( 2 + 3 3 ) a 2 7.19615... a 2

References

Sphenocorona Wikipedia