Triangular dipyramid

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For the related molecular geometry see trigonal bipyramid molecular geometry

Triangular dipyramid
Triangular dipyramid
Type Dipyramid
and
Johnson
J11 - J12 - J13
Faces 6 triangles
Edges 9
Vertices 5
Face configuration V3.4.4
Symmetry group D3h
Dual triangular prism
Properties convex, face-transitive

In geometry, the triangular dipyramid (or bipyramid) is the first in the infinite set of face-transitive dipyramids. It is the dual of the triangular prism with 6 isosceles triangle faces.

It is also one of the Johnson solids, (J12) with equilateral triangle faces. As the name suggests, it can be constructed by joining two tetrahedra along one face. It is a convex deltahedron. Although all its faces are congruent and the solid is face-transitive, it is not a Platonic solid because some vertices adjoin three faces and others adjoin four. As a Johnson solid, with 6 equilateral triangles, it is also in the set of deltahedra.

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