The Triaugmented Triangular Prism

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The triaugmented triangular prism (J51) is the 51st Johnson solid. It has 9 vertices, 21 edges, and 14 triangular faces.

It can be constructed augmenting a triangular prism with 3 square pyramids. If only two square pyramids are added, the biaugmented triangular prism (J50) is produced. If only one square pyramid is added, the result is the augmented triangular prism (J49).

Projections

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

Projection	Envelope	Description
	Hexagon	Top view.
	Hexagon	Side view.
	Pentagon	Front view.

Coordinates

The Cartesian coordinates of the triaugmented triangular prism, centered on the origin and with edge length 2, are:

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