Triangular dipyramid
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For the related molecular geometrical structure, see Trigonal bipyramid molecular geometry.
Triangular dipyramid | |
---|---|
Type | Dipyramid and Johnson J_{11} - J_{12} - J_{13} |
Faces | 6 triangles |
Edges | 9 |
Vertices | 5 |
Face configuration | V3.4.4 |
Symmetry group | D_{3h} |
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, (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.
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