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Triaugmented hexagonal prism

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Triaugmented hexagonal prism
TypeJohnson
J56J57J58
Faces12 triangles
3 squares
2 hexagons
Edges30
Vertices15
Vertex configuration3(34)
12(32.4.6)
Symmetry groupD3h
Dual polyhedronalternate order-4 truncated hexagonal bipyramid
Propertiesconvex
Net

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

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References

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  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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