Gyroelongated pentagonal pyramid
| Gyroelongated pentagonal pyramid | |
|---|---|
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| Type | Johnson J10 - J11 - J12 |
| Faces | 3x5 triangles 1 pentagon |
| Edges | 25 |
| Vertices | 11 |
| Vertex configuration | 5(33.5) 1+5(35) |
| Symmetry group | C5v |
| Dual polyhedron | - |
| Properties | convex |
| Net | |
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In geometry, the gyroelongated pentagonal pyramid is one of the Johnson solids (J11). As its name suggests, it is formed by taking a pentagonal pyramid and "gyroelongating" it, which in this case involves joining a pentagonal antiprism to its base.
It can also be seen as a diminished icosahedron, an icosahedron with the top (a pentagonal pyramid, J2) chopped off by a plane. Other Johnson solids can be formed by cutting off multiple pentagonal pyramids from an icosahedron: the pentagonal antiprism and metabidiminished icosahedron (two pyramids removed), and the tridiminished icosahedron (three pyramids removed).
The 92 Johnson solids were named and described by Norman Johnson in 1966.
[edit] Dual polyhedron
The dual of the gyroelongated pentagonal pyramid has 11 faces: 5 kites, 1 regular pentagonal and 5 irregular pentagons.
| Dual gyroelongated pentagonal pyramid | Net of dual |
|---|---|
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[edit] External links
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