Triangular gyroprism
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| Triangular gyroprism | |
|---|---|
 | |
| Rank | 3 |
| Type | Isogonal |
| Notation | |
| Bowers style acronym | Trigyp |
| Coxeter diagram | s2s3s |
| Elements | |
| Faces | 6 scalene triangles, 2 equilateral triangles |
| Edges | 3+3+6 |
| Vertices | 6 |
| Vertex figure | Irregular tetragon |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Army | Trigyp |
| Regiment | Trigyp |
| Dual | Triangular gyrotegum |
| Conjugate | Triangular gyroprism |
| Abstract & topological properties | |
| Euler characteristic | 2 |
| Surface | Sphere |
| Orientable | Yes |
| Genus | 0 |
| Properties | |
| Symmetry | (A2×A1)+, order 6 |
| Convex | Yes |
| Nature | Tame |
The triangular gyroprism, or trigyp, is a triangle-based gyroprism, a variant of the triangular antiprism where the bases are rotated by an angle other than 60°, and has 6 scalene triangles for its sides instead of isosceles triangles. It can be formed by alternating a ditrigonal prism.
A concave variant of the triangular gyroprism is the Schönhardt polyhedron, the simplest non-convex polyhedron that cannot be triangulated into tetrahedra.