The Augmented Triangular Prism

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The augmented triangular prism is the 49th Johnson solid (J49). It has 7 vertices, 13 edges, and 8 faces (6 equilateral triangles and 2 squares).

The augmented triangular prism can be constructed by attaching a square pyramid to one of the square faces of a triangular prism. Adding a second square pyramid results in the biaugmented triangular prism (J50), and adding a third on top of that produces the triaugmented triangular prism (J51).

Projections

Here are some views of the augmented triangular prism from various angles:

Projection	Description
	Top view.
	Front view.
	Side view perpendicular to axis of symmetry.
	Side view, one square face projected to left edge.

Coordinates

The Cartesian coordinates of the augmented triangular prism with edge length 2 are:

• (±1, −1/√3, ±1)
• (0, 2/√3, ±1)
• (0, −(1+√6)/√3, 0)