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International Studies in Phenomenology and Philosophy

Book | Chapter

184231

Computational understanding and manipulation of symmetries

Attila Egri-Nagy Chrystopher L. Nehaniv

pp. 17-30

Abstract

For natural and artificial systems with some symmetry structure, computational understanding and manipulation can be achieved without learning by exploiting the algebraic structure. This algebraic coordinatization is based on a hierarchical (de)composition method. Here we describe this method and apply it to permutation puzzles. Coordinatization yields a structural understanding, not just solutions for the puzzles. In the case of the Rubik's Cubes, different solving strategies correspond to different decompositions.

Publication details

Published in:

Randall Marcus (2015) Artificial life and computational intelligence: first Australasian conference, acalci 2015, Newcastle, nsw, India, february 5-7, 2015. proceedings. Dordrecht, Springer.

Pages: 17-30

DOI: 10.1007/978-3-319-14803-8_2

Full citation:

Egri-Nagy Attila, Nehaniv Chrystopher L. (2015) „Computational understanding and manipulation of symmetries“, In: M. Randall (ed.), Artificial life and computational intelligence, Dordrecht, Springer, 17–30.