I would like to figure out the x, y, z coordinates for any set of given six stargate alignment points from a given set of six star constellations, how would I do this? Too me this looks like a set to set relational and optimization problem, relating set 1 to set 2, set 1 to set 3 and 4 etc. to get a relational constraint, optimize and project distances into intersect position. I think this could use nearest point search with alignments of stars and range constraints.

I think it's set to set relation because here constellations are sets of stars and we need to find one point in each, one star each in some sort of optimized alignment relation. I needed a project to help learn maths and this is what I chose as a challenge