Gourt Home::Gourt :: Gyroelongated dipyramid
| 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 forms can have all equilateral triangles, the gyroelongated square dipyramid is a Johnson solids , and the icosahedron is a the platonic solid. Other forms can be constructed with isosceles triangles.
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
"Gyroelongated dipyramid"