Gyroelongated dipyramid

Gyroelongated dipyramid

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.

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

External links

* [http://www.georgehart.com/virtual-polyhedra/conway_notation.html Conway Notation for Polyhedra] Try: "knAn", where n=4,5,6... example "k5A5" is an icosahedron.


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