Elongated triangular gyrobicupola
| Elongated triangular gyrobicupola | |
|---|---|
| Type | Johnson J35 - J36 - J37 |
| Faces | 2+6 triangles 2.6 squares |
| Edges | 36 |
| Vertices | 18 |
| Vertex configuration | 6(3.4.3.4) 12(3.43) |
| Symmetry group | D3d |
| Dual polyhedron | - |
| Properties | convex |
| Net | |
In geometry, the elongated triangular gyrobicupola is one of the Johnson solids (J36). As the name suggests, it can be constructed by elongating a "triangular gyrobicupola," or cuboctahedron, by inserting a hexagonal prism between its two halves, which are congruent triangular cupolae (J3). Rotating one of the cupolae through 60 degrees before the elongation yields the triangular orthobicupola (J35).
The 92 Johnson solids were named and described by Norman Johnson in 1966.
Formulae
The following formulae for volume and surface area can be used if all faces are regular, with edge length a:[1]
References
- ^ Stephen Wolfram, "Elongated triangular gyrobicupola" from Wolfram Alpha. Retrieved July 25, 2010.