Computational Understanding and Manipulation of Symmetries

08/21/2009

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by   Attila Egri-Nagy, et al.

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For natural and artificial systems with some symmetry structure, computational understanding and manipulation can be achieved without learning by exploiting the algebraic structure. Here we describe this algebraic coordinatization method and apply it to permutation puzzles. Coordinatization yields a structural understanding, not just solutions for the puzzles.