Triangular bipyramid
Two tetrahedra joined by one face / From Wikipedia, the free encyclopedia
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In geometry, the triangular bipyramid is the hexahedron with six triangular faces, constructed by attaching two tetrahedrons face-to-face. The same shape is also called the triangular dipyramid[1][2] or trigonal bipyramid.[3] If these tetrahedrons are regular, all faces of triangular bipyramid are equilateral. It is an example of a deltahedron and of a Johnson solid.
Triangular bipyramid | |
---|---|
Type | Bipyramid Deltahedra Johnson J11 – J12 – J13 |
Faces | 6 triangles |
Edges | 9 |
Vertices | 5 |
Vertex configuration | |
Symmetry group | |
Dual polyhedron | triangular prism |
Properties | convex |
Net | |
Many polyhedrons are related to the triangular bipyramid, such as new similar shapes derived in different approaches, and the triangular prism as its dual polyhedron. The many applications of triangular bipyramid include the trigonal bipyramid molecular geometry that describes its atom cluster, the solution of Thomson problem, and the representation of color order systems by the eighteenth century. The triangular bipyramid has a graph with its construction involving the wheel graph.