Triaugmented hexagonal prism

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Triaugmented hexagonal prism
Triaugmented hexagonal prism.png
Type Johnson
J56J57J58
Faces 12 triangles
3 squares
2 hexagons
Edges 30
Vertices 15
Vertex configuration 3(34)
12(32.4.6)
Symmetry group D3h
Properties convex
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.

Contents

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]

3D model of a triaugmented hexagonal prism J57 triaugmented hexagonal prism.stl
3D model of a triaugmented hexagonal prism

See also

References

  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 .