Biaugmented pentagonal prism

Biaugmented pentagonal prism
Type Johnson
J52 - J53 - J54
Faces 8 {3}
3 {4}
2 {5}
Edges 23
Vertices 12
Vertex configuration 2(42.5)
2(34)
2x4(32.4.5)
Symmetry group C2v
Dual polyhedron -
Properties convex
Net

In geometry, the biaugmented pentagonal prism is one of the Johnson solids (J53). As the name suggests, it can be constructed by doubly augmenting a pentagonal prism by attaching square pyramids (J1) to two of its nonadjacent equatorial faces. (The solid obtained by attaching pyramids to adjacent equatorial faces is not convex, and thus not a Johnson solid.)

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. "Biaugmented pentagonal 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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