| Gyroelongated pentagonal cupola | |
|---|---|
| Type | Johnson J23 - J24 - J25 |
| Faces | 3.5+10 triangles 5 squares 1 pentagon 1 decagon |
| Edges | 55 |
| Vertices | 25 |
| Vertex configuration | 5(3.4.5.4) 2.5(33.10) 10(34.4) |
| Symmetry group | C5v |
| Dual polyhedron | - |
| Properties | convex |
In geometry, the gyroelongated pentagonal cupola is one of the Johnson solids (J24). As the name suggests, it can be constructed by gyroelongating a pentagonal cupola (J5) by attaching a decagonal antiprism to its base. It can also be seen as a gyroelongated pentagonal bicupola (J46) with one pentagonal cupola removed.
The 92 Johnson solids were named and described by Norman Lloyd Johnson in 1966.
The dual of the gyroelongated pentagonal cupola has 25 faces: 10 kites, 5 rhombi, and 10 quadrilaterals.
| Dual gyroelongated pentagonal cupola | Net of dual |
|---|---|