Triaugmented triangular prism

Triaugmented triangular prism
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

In geometry, the triaugmented triangular prism or tetracaidecadeltahedron 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 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]

Dual polyhedron

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.


  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.
This article is issued from Wikipedia - version of the 7/15/2015. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.