Pentagonal orthocupolarotunda

Source: Wikipedia, the free encyclopedia.
Pentagonal orthocupolarotunda
squares
2+5 pentagons
Edges50
Vertices25
Vertex configuration10(3.4.3.5)
5(3.4.5.4)
2.5(3.5.3.5)
Symmetry groupC5v
Dual polyhedron-
Propertiesconvex
Net

In geometry, the pentagonal orthocupolarotunda is one of the Johnson solids (J32). As the name suggests, it can be constructed by joining a pentagonal cupola (J5) and a pentagonal rotunda (J6) along their decagonal bases, matching the pentagonal faces. A 36-degree rotation of one of the halves before the joining yields a pentagonal gyrocupolarotunda (J33).

A

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]

Formulae

The following

faces are regular, with edge length a:[2]

References

External links