I'm looking for an algorithm to determine if two "clouds" of points in space are superimposable or not. There are efficient ways to do that with matrix algebra, see here:

http://nghiaho.com/?page_id=671

The problem I'm having is that my datapoints are not (and cannot be) ordered, as the above algorithm assumes, but really are sets of points in 3D. The only way would be to try every possible ordering...

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