Gyroelongated square pyramid
| Gyroelongated square pyramid | |
|---|---|
 |
|
| Type | Johnson J9 - J10 - J11 |
| Faces | 3.4 triangles 1 square |
| Edges | 20 |
| Vertices | 9 |
| Vertex configuration | 1(34) 4(33.4) 4(35) |
| Symmetry group | C4v, [4], (*44) |
| Rotation group | C4, [4]+, (44) |
| Dual polyhedron | - |
| Properties | convex |
In geometry, the gyroelongated square pyramid is one of the Johnson solids (J10). As its name suggests, it can be constructed by taking a square pyramid and "gyroelongating" it, which in this case involves joining a square antiprism to its base.
The 92 Johnson solids were named and described by Norman Johnson in 1966.
Dual polyhedron
The dual of the gyroelongated square pyramid has 9 faces: 4 trapezoidal, 1 square and 4 pentagonal.
| Dual gyroelongated square pyramid | Net of dual |
|---|---|
 |
 |
External links
- Weisstein, Eric W., "Johnson solid", MathWorld.
- Weisstein, Eric W., "Gyroelongated square pyramid", MathWorld.
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