Augmented triangular prism

Augmented triangular prism
Type Johnson
J48 - J49 - J50
Faces 3x2 triangles
2 squares
Edges 13
Vertices 7
Vertex configuration 2(3.42)
1(34)
4(33.4)
Symmetry group C2v
Dual polyhedron -
Properties convex
Net

In geometry, the augmented triangular prism is one of the Johnson solids (J49). As the name suggests, it can be constructed by augmenting a triangular prism by attaching a square pyramid (J1) to one of its equatorial faces. The resulting solid bears a superficial resemblance to the gyrobifastigium (J26), the difference being that the latter is constructed by attaching a second triangular prism, rather than a square pyramid.

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]

  • Weisstein, Eric W. "Johnson Solid". MathWorld.
    • Weisstein, Eric W. "Augmented triangular prism". 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 .
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