I have constructed a lattice as a 3D graph while ensuring that it is rigid. I would like to find a way to test it to verify. Any thoughts? Links to papers?

I have constructed a lattice as a 3D graph while ensuring that it is rigid. I would like to find a way to test it to verify. Any thoughts? Links to papers?

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This seems to be an open problem.
This link is probably a good starting point: http://www3.cs.stonybrook.edu/~jgao/CSE590-fall05/notes/lecture3.pdf