The Augmented Truncated Tetrahedron
The augmented truncated tetrahedron is the 65th Johnson solid, or J65 for short. It is bounded by 8 triangles, 3 hexagons, and 3 squares, for a total of 14 faces, 27 edges, and 15 vertices. It is constructed by augmenting a truncated tetrahedron with a triangular cupola.
Projections
Here are some views of the augmented truncated tetrahedron from various angles:
| Projection | Description |
|---|---|
 |
Top view. |
 |
Front view. |
 |
Side view. |
Coordinates
The Cartesian coordinates of the augmented truncated tetrahedron are:
- (±1, −1/√3, 6/√6)
- ( 0, 2/√3, 6/√6)
- (±2, −2/√3, 2/√6)
- ( 0, 4/√3, 2/√6)
- (±1, ±√3, −2/√6)
- (±2, 0, −2/√6)
- (±1, 1/√3, −6/√6)
- ( 0, −2/√3, −6/√6)
