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Is There a Single Solution for Symmetry Structures?
I don't think that there is a single clorg that solves this problem in a satisfactory manner. Think of objects wostly translate horizontally, but you also have a little bit of vertical translation. What is the right symmetry structure to model? Is it a one dimensional translation group or a two dimensional translation group? Do we want to absorb the slight vertical motions as the noise and deal with it as tat augmentation? Or you want to describe it in the structure of the group that you discover? So there is no single answer. We cannot say that one is correct in anothe n is wrong. It seems obvious that there would be an expanding scale symmetry which might resemble the original rule