Biaugmented triangular prism

In geometry, the biaugmented triangular prism is one of the Johnson solids (J50). As the name suggests, it can be constructed by augmenting a triangular prism by attaching square pyramids (J1) to two of its equatorial faces.

Biaugmented triangular prism
TypeJohnson
J49 - J50 - J51
Faces3x2+4 triangles
1 square
Edges17
Vertices8
Vertex configuration2(35)
2(34)
4(33.4)
Symmetry groupC2v
Dual polyhedron-
Propertiesconvex
Net

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]

It is related to the augmented triangular prism (J49) and the triaugmented triangular prism (J51).

  • Weisstein, Eric W. "Johnson Solid". MathWorld.
  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. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.