In my research I need to generate tangle diagrams for with small number of crossings ($\leqslant 10$).
By tangle I mean 2-tangle, that is an embedding of two arcs into a ball where endpoints of arcs lie on sphere. Tangle diagram is a projection of a tangle to a plane, where the intersections are remembered (like in knot diagrams).
In other words, I need a program that generates 2 arcs in a circle (or a square) with overlappings.
Example:
Actually, for my purposes I don't need the overlappings, so the program generating tangles diagrams without overlappings would also suffice.
Example:
