Triaugmented hexagonal prism

From Wikipedia, the free encyclopedia
Jump to navigation Jump to search
Triaugmented hexagonal prism
Triaugmented hexagonal prism.png
TypeJohnson
J56 - J57 - J58
Faces12 triangles
3 squares
2 hexagons
Edges30
Vertices15
Vertex configuration3(34)
12(32.4.6)
Symmetry groupD3h
Dual polyhedron-
Propertiesconvex
Net
Johnson solid 57 net.png

In geometry, the triaugmented hexagonal prism is one of the Johnson solids (J57). As the name suggests, it can be constructed by triply augmenting a hexagonal prism by attaching square pyramids (J1) to three of its nonadjacent equatorial faces.

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.[1]

See also[edit]

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.