Augmented triangular prism

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Augmented triangular prism
Augmented triangular prism.png
TypeJohnson
J48 - J49 - J50
Faces3x2 triangles
2 squares
Edges13
Vertices7
Vertex configuration2(3.42)
1(34)
4(33.4)
Symmetry groupC2v
Dual polyhedron-
Propertiesconvex
Net
Johnson solid 49 net.png

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]

External links[edit]

  • 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.