A pointer into what you are looking for may be duality: https://en.m.wikipedia.org/wiki/Duality_(mathematics) https://en.m.wikipedia.org/wiki/Duality_(mathemat

A pointer into what you are looking for may be duality: https://en.m.wikipedia.org/wiki/Duality_(mathematics) https://en.m.wikipedia.org/wiki/Duality_(mathematics) For example, in geometry, there is an equivalence between Voronoi diagrams, Delanauy triangulation, convex hulls and plane intersections. This is of very practical importance (for me at least!) because you can reuse non trivial algorithm/libraries that solve one problem to solve the other. Duality is also very important in optimization, where you transform a problem, the primal, into it's dual and solve one or both of them simultaneously. I have not found a lot of info in "pure" duality, it's a meta-concept present in a lot of different mathematical areas but I'm sure there must be mathematicians looking at it