@inproceedings{ccb31413d476470282b2e9cb38968502,
title = "Computational understanding and manipulation of symmetries",
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{\textquoteright}s Cubes, different solving strategies correspond to different decompositions.",
keywords = "Cascade, Coordinatization, Decomposition, Permutation puzzle, Rubik{\textquoteright}s cube, Wreath product",
author = "Attila Egri-Nagy and C.L. Nehaniv",
note = "Attila Egri-Nagy, Chrystopher L Nehaniv, {"}Computational Understanding and Manipulation of Symmetries{"}, in Chalup S. K., Blair A. D., Randall M. (Eds) Artificial Life and Computational Intelligence ACALCI, First Australasian Conference, Newcastle, NSW, Australia, February 5-7 2015, Proceedings, Lecture Notes in Computer Science, Vol. 8955, 2015 {\textcopyright} Springer International Publishing Switzerland 2015 Final, published version of this paper is available online via doi: 10.1007/978-3-319-14803-8_2; 1st Australasian Conference on Artificial Life and Computational Intelligence, ACALCI 2015 ; Conference date: 05-02-2015 Through 07-02-2015",
year = "2015",
month = jan,
doi = "10.1007/978-3-319-14803-8_2",
language = "English",
isbn = "9783319148021",
volume = "8955",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Nature Link",
pages = "17--30",
editor = "Chalup, {Stephan K.} and Blair, {Alan D.} and Marcus Randall",
booktitle = "Artificial Life and Computational Intelligence",
address = "Netherlands",
}