Shape encoding

[bossstein]

I had an idea for a rotation, reflection invariant method of encoding. I don't have a lot of time to try and implement it right now but I thought I would put it here. It may be expensive in itself but If it reduces the algorithmic complexity it would be worth it.

A single binary 3d matrix can have every possible transformation applied to it so that we have a set of every orientation of the shape as matrices. That set is unique to that shape. If each entry is then flattened, then sorted, and then concatenated you will have a big binary lump that's unique. This can then have a standard hashing function applied to it. It could probably be compressed considerably as well.