Elongated square bipyramid
| Elongated square bipyramid | |
|---|---|
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| Type | Johnson J14 - J15 - J16 |
| Faces | 8 triangles 4 squares |
| Edges | 20 |
| Vertices | 10 |
| Vertex configuration | 2(34) 8(32.42) |
| Symmetry group | D4h, [4,2], (*422) |
| Rotation group | D4, [4,2]+, (422) |
| Dual polyhedron | Square bifrustum |
| Properties | convex |
In geometry, the elongated square bipyramid is one of the Johnson solids (J15). As the name suggests, it can be constructed by elongating an octahedron by inserting a cube between its congruent halves.
The 92 Johnson solids were named and described by Norman Johnson in 1966.
A zircon crystal is an example of an elongated square bipyramid.
Dual polyhedron
The dual of the elongated square bipyramid has 10 faces: 8 trapezoidal and 2 square.
| Dual elongated square bipyramid | Net of dual |
|---|---|
 |
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Honeycomb
An elongated square bipyramid, similar to Johnson solid J15, allows a self-tessellation of Euclidean space. The cells are here colored white, red, and blue based on their orientation in space. The square pyramid caps have shortened isosceles triangle faces, with six of these pyramids meeting together to form a cube.
External links
- Weisstein, Eric W., "Johnson solid", MathWorld.
- Weisstein, Eric W., "Elongated square bipyramid", MathWorld.
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