Biaugmented pentagonal prism

Summary

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.)

Biaugmented pentagonal prism
TypeJohnson
J52J53J54
Faces8 equilateral triangles
3 squares
2 pentagons
Edges23
Vertices12
Vertex configuration2(42.5)
2(34)
2x4(32.4.5)
Symmetry groupC2v
Dual polyhedronparabilaterotruncated 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]

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.