Hebesphenomegacorona

From Wikipedia, the free encyclopedia
Jump to: navigation, search
Hebesphenomegacorona
Hebesphenomegacorona.png
Type Johnson
J88 - J89 - J90
Faces 3x2+3x4 triangles
1+2 squares
Edges 33
Vertices 14
Vertex configuration 4(32.42)
2+2x2(35)
4(34.4)
Symmetry group C2v
Dual polyhedron -
Properties convex
Net
Johnson solid 89 net.png

In geometry, the hebesphenomegacorona is one of the Johnson solids (J89). It is one of the elementary Johnson solids that do not arise from "cut and paste" manipulations of the Platonic and Archimedean solids. It has 21 faces, 18 triangles and 3 squares, 33 edges, and 14 vertices.

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 icosahedron can be obtained from the hebesphenomegacorona by merging the middle of the three squares into an edge, turning the neighboring two squares into triangles.

External links[edit]

  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 .