Metabiaugmented hexagonal prism

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Metabiaugmented hexagonal prism
Metabiaugmented hexagonal prism.png
Type Johnson
J55 - J56 - J57
Faces 2x2+4 triangles
2+2 squares
2 hexagons
Edges 26
Vertices 14
Vertex configuration 4(42.6)
2(34)
2x4(32.4.6)
Symmetry group C2v
Dual polyhedron -
Properties convex
Net
Johnson solid 56 net.png

In geometry, the metabiaugmented hexagonal prism is one of the Johnson solids (J56). As the name suggests, it can be constructed by doubly augmenting a hexagonal prism by attaching square pyramids (J1) to two of its nonadjacent, nonparallel equatorial faces. Attaching the pyramids to opposite equatorial faces yields a parabiaugmented hexagonal prism. (The solid obtained by attaching pyramids to adjacent equatorial faces is not convex, and thus not a Johnson solid.)

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

  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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