The Biaugmented Triangular Prism

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The biaugmented triangular prism is the 50th Johnson solid (J50). It has 8 vertices, 17 edges, and 11 faces (10 equilateral triangles and 1 square).

The biaugmented triangular prism can be constructed by attaching two square pyramids to two of the square faces of a triangular prism. Or, equivalently, attaching a second square pyramid to the augmented triangular prism (J49). If a third square pyramid is added, the result is the triaugmented triangular prism (J51).

Projections

Here are some views of the biaugmented 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 middle vertical edge.

Coordinates

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

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