The Biaugmented Triangular Prism
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 |
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Top view. |
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Front view. |
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Side view perpendicular to axis of symmetry. |
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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)