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Triangular dipyramid

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For the related molecular geometrical structure, see Trigonal bipyramid molecular geometry.
Triangular dipyramid
Triangular bipyramid
TypeDipyramid
and
Johnson
J11 - J12 - J13
Faces6 triangles
Edges9
Vertices5
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.

Triangular dipyramid

External links

eo:Triangula dupiramidonl:Driehoekige bipiramidept:Bipirâmide triangular

th:พีระมิดคู่สามเหลี่ยม

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