| Gyroelongated pentagonal rotunda | |
|---|---|
| Type | Johnson J24 - J25 - J26 |
| Faces | 4.5+10 triangles 1+5 pentagons 1 decagon |
| Edges | 65 |
| Vertices | 30 |
| Vertex configuration | 2.5(3.5.3.5) 2.5(33.10) 10(34.5) |
| Symmetry group | C5v |
| Dual polyhedron | - |
| Properties | convex |
In geometry, the gyroelongated pentagonal rotunda is one of the Johnson solids (J25). As the name suggests, it can be constructed by gyroelongating a pentagonal rotunda (J6) by attaching a decagonal antiprism to its base. It can also be seen as a gyroelongated pentagonal birotunda (J48) with one pentagonal rotunda removed.
The 92 Johnson solids were named and described by Norman Johnson in 1966.
The dual of the gyroelongated pentagonal rotunda has 30 faces: 12 kites, 6 rhombi, and 12 quadrilaterals.
| Dual gyroelongated pentagonal rotunda | Net of dual |
|---|---|