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Triangular dipyramid

For the related molecular geometry see trigonal bipyramid molecular geometry

Triangular dipyramid
J11 - J12 - J13
Faces6 triangles
Face configurationV3.4.4
Symmetry groupD3h
Dualtriangular prism
Propertiesconvex, 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.

This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Triangular_dipyramid". A list of authors is available in Wikipedia.
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