Triangular dipyramid

Triangular dipyramid

"For the related molecular geometry see trigonal bipyramid molecular geometry"Infobox face-uniform polyhedron



Polyhedron_Type=Dipyramid
and
Johnson
J11 - J12 - J13
Face_List=6 triangles
Edge_Count=9
Vertex_Count=5
Symmetry_Group="D""3h"
Face_Type=V3.4.4
Dual=triangular prism
Property_List=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, ("J"12) 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.

External links

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** mathworld | urlname = TriangularDipyramid | title = Triangular dipyramid


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