Elongated triangular pyramid | |
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Type | Johnson J6 - J7 - J8 |
Faces | 1+3 triangles 3 squares |
Edges | 12 |
Vertices | 7 |
Vertex configuration | 1(33) 3(3.42) 3(32.42) |
Symmetry group | C3v |
Dual polyhedron | self |
Properties | convex |
Net | |
In geometry, the elongated triangular pyramid is one of the Johnson solids (J7). Norman Johnson discovered elongated triangular pyramids. As the name suggests, it can be constructed by elongating a tetrahedron by attaching a triangular prism to its base. Like any elongated pyramid, the resulting solid is self-dual.
The 92 Johnson solids were named and described by Norman Johnson in 1966.
Contents |
The following formulae for volume and surface area can be used if all faces are regular, with edge length a:[1]
If the edges are not the same length, use the individual formulae for the tetrahedron and triangular prism separately, and add the results together.
The dual of the elongated triangular pyramid has 7 faces: 4 triangular, and 3 trapezoidal.
Dual elongated triangular pyramid | Net of dual |
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