Elongated dipyramid
From Wikipedia, the free encyclopedia
Set of elongated dipyramids | |
---|---|
Faces | 2n triangles, n squares |
Edges | 5n |
Vertices | 2n+2 |
Symmetry group | Dnh |
Dual polyhedron | bifrustums |
Properties | convex |
In geometry, the elongated dipyramids are an infinite set of polyhedra, constructed by elongating an n'-agonal bipyramid (by inserting an n-agonal prism between its congruent halves.
There are three elongated dipyramids that are Johnson solids made from regular triangles and squares. Higher forms can be constructed with isosceles triangles.
[edit] Forms
- Elongated triangular dipyramid (J14) - 6 triangles, 3 squares - dual Triangular bifrustum
- Elongated square dipyramid (J15) - 8 triangles, 4 squares - 8 dual Square bifrustum
- Elongated pentagonal dipyramid (J16) - 10 triangles, 5 squares - dual Pentagonal bifrustum
- Elongated hexagonal dipyramid - 12 triangles, 6 squares - dual Hexagonal bifrustum
- ...
- n-agonal elongated dipyramid - 2n triangles, n squares - duals bifrustums