The Elongated Triangular Pyramid
The elongated triangular pyramid is the 7th Johnson solid (J7). It has 7 vertices, 12 edges, and 7 faces (4 equilateral triangles and 3 squares).
The elongated triangular pyramid can be constructed by attaching a tetrahedron to a triangular prism.
Attaching another tetrahedron to the other end of the triangular prism produces the elongated triangular bipyramid (J14).
Projections
Here are some views of the elongated triangular pyramid from various angles:
| Projection | Envelope | Description |
|---|---|---|
 |
Triangle | Top view. |
 |
Pentagon | Side view. |
 |
Pentagon | Front view. |
Coordinates
The Cartesian coordinates of the elongated triangular pyramid with edge length 2 are:
- (0, 0, 1 + 4/√6)
- (±1, −1/√3, ±1)
- (0, 2/√3, ±1)
