The Triaugmented Triangular Prism
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).
Here are some views of the triaugmented triangular prism from various angles:
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)