Augmented sphenocorona

Augmented sphenocorona
Type Johnson
J86 - J87 - J88
Faces 4+6x2 triangles
1 square
Edges 26
Vertices 11
Vertex configuration 1(34)
2(33.4)
3x2(35)
2(34.4)
Symmetry group Cs
Dual polyhedron -
Properties convex
Net

In geometry, the augmented sphenocorona is one of the Johnson solids (J87), and is obtained by adding a square pyramid to one of the square faces of the sphenocorona. It is the only Johnson solid arising from "cut and paste" manipulations where the components are not all prisms, antiprisms or sections of Platonic or Archimedean solids.

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]

External links

  1. 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.
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