Snub tetrahedron
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| Snub tetrahedron | |
|---|---|
 | |
| Rank | 3 |
| Type | Isogonal |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Snit |
| Coxeter diagram | s3s3s (  ) |
| Elements | |
| Faces | 4+4 triangles, 12 scalene triangles |
| Edges | 6+12+12 |
| Vertices | 12 |
| Vertex figure | Irregular pentagon |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Army | Snit |
| Regiment | Snit |
| Dual | Tetartoid |
| Conjugate | Retrosnub tetrahedron |
| Abstract properties | |
| Euler characteristic | 2 |
| Topological properties | |
| Surface | Sphere |
| Orientable | Yes |
| Genus | 0 |
| Properties | |
| Symmetry | A3+, order 12 |
| Convex | Yes |
| Nature | Tame |
The snub tetrahedron, or snit, is a convex isogonal polyhedron that is a variant of the icosahedron with chiral tetrahedral symmetry. It has 2 sets of 4 equilateral triangles of generally different sizes, along with 12 scalene triangles, for faces.
It can generally be formed by alternating a great rhombitetratetrahedron.
If the two sets of triangles are of equal length it can be called a semisnub octahedron.