The Triaugmented Hexagonal Prism
The triaugmented hexagonal prism (J57) is the 57th Johnson solid. It has 9 vertices, 21 edges, and 14 triangular faces. It can be constructed augmenting a hexagonal prism with 3 square pyramids.
If an augment is removed, the metabiaugmented hexagonal prism (J56) is obtained. If two augments are removed, the augmented hexagonal prism (J54) is produced.
Projections
Here are some views of the triaugmented hexagonal prism from various angles:
| Projection | Envelope | Description |
|---|---|---|
 |
Nonagon | Top view. |
 |
Hexagon | Side view. |
 |
Pentagon | Front view. |
Coordinates
The Cartesian coordinates of the triaugmented hexagonal prism, centered on the origin and with edge length 2, are:
- (±1, ±√3, ±1)
- (±2, 0, ±1)
- (±(3+√6)/2, (3+√6)/(2√3), 0)
- (0, −(3+√6)/√3, 0)
