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Set of gyroelongated dipyramids
Pentagonal gyroelongated dipyramid
Faces 4n triangles
Edges 6n
Vertices 2n+2
Symmetry group Dnd
Dual polyhedron truncated trapezohedra
Properties convex

In geometry, the gyroelongated dipyramids or 2n-gonal Deltahedron 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 gyroelongated triangular dipyramid can be made with equilateral triangles, but is not a deltahedron because it has coplanar faces, i.e. is not strictly convex. The other members can be constructed with isosceles triangles.

Forms[]

Gyroelongated square dipyramid Icosahedron

  • 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[]


eo:Turnoplilongigita dupiramido

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