Triaugmented hexagonal prism

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Triaugmented hexagonal prism
Triaugmented hexagonal prism.png
Type Johnson
J56 - J57 - J58
Faces 12 triangles
3 squares
2 hexagons
Edges 30
Vertices 15
Vertex configuration 3(34)
Symmetry group D3h
Dual polyhedron -
Properties convex
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 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]

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 .