The Gyroelongated Triangular Bicupola
The gyroelongated triangular bicupola is the 44th Johnson solid (J44). It has 18 vertices, 42 edges, and 26 faces (20 equilateral triangles and 6 squares).
The gyroelongated triangular bicupola can be constructed by attaching two triangular bicupolae to a hexagonal antiprism, or equivalently, adding a second triangular cupola to a gyroelongated triangular cupola (J22).
J44 is one of the few Johnson solids that are chiral; it is distinct from its own mirror image:
Projections
Here are some views of the gyroelongated triangular bicupola from various angles:
| Projection | Description |
|---|---|
 |
Top view. |
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Front view. |
 |
15° side view. |
Coordinates
The Cartesian coordinates of the gyroelongated triangular bicupola with edge length 2 are:
- (±1, −1/√3, √(8/3) + √(√3−1))
- (0, 2/√3, √(8/3) + √(√3−1))
- (±1, ±√3, √(√3−1))
- (±2, 0, √(√3−1))
- (±√3, ±1, −√(√3−1))
- (0, ±2, −√(√3−1))
- (−1/√3, ±1, −(√(8/3) + √(√3−1)))
- (2/√3, 0, −(√(8/3) + √(√3−1)))
