Gyroelongated dipyramid
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| Set of gyroelongated dipyramids | |
|---|---|
 |
|
| Faces | 4n triangles |
| Edges | 6n |
| Vertices | 2n+2 |
| Symmetry group | Dnd |
| Dual polyhedron | truncated trapezohedra |
| Properties | convex |
In geometry, the gyroelongated dipyramids are an infinite set of polyhedra, constructed by elongating an n-agonal bipyramid by inserting an n-agonal antiprism between its congruent halves.
Two members of the set can be deltahedra, that is, constructed entirely of equilateral triangles: the gyroelongated square dipyramid, a Johnson solid, and the icosahedron, a Platonic solid. The other members can be constructed with isosceles triangles.
[edit] Forms
- Gyroelongated triangular dipyramid - dual triangular truncated trapezohedron
- Gyroelongated square dipyramid - dual square truncated trapezohedron
- Gyroelongated pentagonal dipyramid icosahedron - dual pentagonal truncated trapezohedron dodecahedron
- Gyroelongated hexagonal dipyramid - dual hexagonal truncated trapezohedron
- ...
- n-agonal gyroelongated dipyramid - duals truncated trapezohedron
