The Augmented Hexagonal Prism
The augmented hexagonal prism (J54) is the 54th Johnson solid. It has 13 vertices, 22 edges, and 11 polygons (4 triangles, 5 squares, and 2 hexagons).
It can be constructed augmenting a hexagonal prism with a square pyramid. It can be further augmented by a second square pyramid in either para- position, yielding the parabiaugmented hexagonal prism (J55), or in meta- position, yielding the metabiaugmented hexagonal prism (J56). If both meta- positions are augmented, the result is the triaugmented hexagonal prism (J57).
Projections
Here are some views of the augmented hexagonal prism from various angles:
Projection | Description |
---|---|
Top view. |
|
Front view. |
|
Side view. |
|
120° side view. |
|
120° front view. |
Coordinates
The Cartesian coordinates of the augmented hexagonal prism, centered on the origin and with edge length 2, are:
- (±1, ±√3, ±1)
- (±2, 0, ±1)
- (0, −(3+√6)/√3, 0)