Gyroelongated pentagonal rotunda
In geometry, the gyroelongated pentagonal rotunda is one of the Johnson solids. As the name suggests, it can be constructed by gyroelongating a pentagonal rotunda by attaching a decagonal antiprism to its base. It can also be seen as a gyroelongated pentagonal birotunda with one pentagonal rotunda removed.
Area and volume
With edge length a, the surface area isand the volume is
Dual polyhedron
The dual of the gyroelongated pentagonal rotunda has 30 faces: 10 pentagons, 10 rhombi, and 10 quadrilaterals.| Dual gyroelongated pentagonal rotunda | Net of dual |