Triaugmented triangular prism

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Triaugmented triangular prism
Triaugmented triangular prism.png
Type Johnson
J50 - J51 - J52
Faces 2+2x6 triangles
Edges 21
Vertices 9
Vertex configuration 3(34)
6(35)
Symmetry group D3h
Dual polyhedron associahedron K5
Properties convex, deltahedron
Net
Johnson solid 51 net.png

In geometry, the triaugmented triangular prism is one of the Johnson solids (J51). As the name suggests, it can be constructed by attaching square pyramids (J1) to each of the three equatorial faces of the triangular prism . It is a deltahedron.

A Johnson solid is one of 92 strictly convex regular-faced polyhedra, but which is not uniform, i.e., not a Platonic solid, Archimedean solid, prism or antiprism. They are named by Norman Johnson who first enumerated the set in 1966.

Dual polyhedron[edit]

Dual of triaugmented triangular prism.png

The dual of the triaugmented triangular prism is an order-5 associahedron. This transparent image shows its three square, and six congruent irregular pentagonal faces. Edges are colored to distinguish the 3 different edge lengths.

External links[edit]