Gyroelongated pentagonal rotunda
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| Gyroelongated pentagonal rotunda | |
|---|---|
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| 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.
[edit] Dual polyhedron
The dual of the gyroelongated pentagonal rotunda has 30 faces: 12 kites, 6 rhombi, and 12 quadrilaterals.
| Dual gyroelongated pentagonal rotunda | Net of dual |
|---|---|
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[edit] External links
- Weisstein, Eric W., "Johnson solid" from MathWorld.
- Weisstein, Eric W., "Gyroelongated pentagonal rotunda" from MathWorld.
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