Triangular prism
In geometry, a triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides. A right triangular prism has rectangular sides, otherwise it is oblique. A uniform triangular prism is a right triangular prism with equilateral bases, and square sides.
| Uniform triangular prism | |
|---|---|
| Type | Prismatic uniform polyhedron |
| Elements | F = 5, E = 9 V = 6 (χ = 2) |
| Faces by sides | 3{4}+2{3} |
| Schläfli symbol | t{2,3} or {3}×{} |
| Wythoff symbol | 2 3 | 2 |
| Coxeter diagram | |
| Symmetry group | D3h, [3,2], (*322), order 12 |
| Rotation group | D3, [3,2]+, (322), order 6 |
| References | U76(a) |
| Dual | Triangular dipyramid |
| Properties | convex |
Vertex figure 4.4.3 | |
Equivalently, it is a polyhedron of which two faces are parallel, while the surface normals of the other three are in the same plane (which is not necessarily parallel to the base planes). These three faces are parallelograms. All cross-sections parallel to the base faces are the same triangle.
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