The Metabiaugmented Hexagonal Prism

---

The metabiaugmented hexagonal prism (J56) is the 56th Johnson solid. It has 14 vertices, 26 edges, and 14 polygons (8 triangles, 4 squares, and 2 hexagons).

It can be constructed augmenting a hexagonal prism with two square pyramids on square faces 120° apart. Removing one of the square pyramids results in the augmented hexagonal prism (J54). Adding another square pyramid on the square face 120° apart from both augments results in the triaugmented hexagonal prism (J57).

Projections

Here are some views of the metabiaugmented hexagonal prism from various angles:

Projection	Description
	Top view.
	Front view.
	Side view.
	120° side view.

Coordinates

The Cartesian coordinates of the metabiaugmented 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)