The Augmented Hexagonal Prism

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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)