Augmented pentagonal prism

In geometry, the augmented pentagonal prism is one of the Johnson solids (J52). As the name suggests, it can be constructed by augmenting a pentagonal prism by attaching a square pyramid (J1) to one of its equatorial faces.

Augmented pentagonal prism
TypeJohnson
J51 - J52 - J53
Faces2x2 triangles
2x2 squares
2 pentagons
Edges19
Vertices11
Vertex configuration2+4(42.5)
1(34)
4(32.4.5)
Symmetry groupC2v
Dual polyhedronmonolaterotruncated pentagonal bipyramid
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]

  • 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.
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