Elongated triangular bipyramid | |
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Type | Johnson J13 - J14 - J15 |
Faces | 6 triangles 3 squares |
Edges | 15 |
Vertices | 8 |
Vertex configuration | 2(33) 6(32.42) |
Symmetry group | D3h |
Dual polyhedron | Triangular bifrustum |
Properties | convex |
Net | |
In geometry, the elongated triangular bipyramid (or dipyramid) is one of the Johnson solids (J14), convex polyhedra whose faces are regular polygons. As the name suggests, it can be constructed by elongating a triangular bipyramid (J12) by inserting a triangular prism between its congruent halves.
The nirrosula, an African musical instrument woven out of strips of plant leaves, is made in the form of a series of elongated bipyramids with non-equilateral triangles as the faces of their end caps.[1]
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The following formulae for volume and surface area can be used if all faces are regular, with edge length a:[2]
The dual of the elongated triangular bipyramid has 8 faces: 6 trapezoidal and 2 triangular.
Dual elongated triangular bipyramid | Net of dual |
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