Augmented hexagonal prism

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Augmented hexagonal prism
Augmented hexagonal prism.png
TypeJohnson
J53 - J54 - J55
Faces2x2 triangles
1+2x2 squares
2 hexagons
Edges22
Vertices13
Vertex configuration2x4(42.6)
1(34)
4(32.4.6)
Symmetry groupC2v
Dual polyhedron-
Propertiesconvex
Net
Johnson solid 54 net.png

In geometry, the augmented hexagonal prism is one of the Johnson solids (J54). As the name suggests, it can be constructed by augmenting a hexagonal prism by attaching a square pyramid (J1) to one of its equatorial faces. When two or three such pyramids are attached, the result may be a parabiaugmented hexagonal prism, a metabiaugmented hexagonal prism or a triaugmented hexagonal prism.

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[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.