Pentagonal rotunda


In geometry, the pentagonal rotunda is one of the Johnson solids. It can be seen as half of an icosidodecahedron, or as half of a pentagonal orthobirotunda.

Formulae

The following formulae for volume, surface area, circumradius, and height are valid if all faces are regular, with edge length a:

Dual polyhedron

The dual of the pentagonal rotunda has 20 faces: 10 triangular, 5 rhombic, and 5 kites.
Dual pentagonal rotundaNet of dual