Computational understanding and manipulation of symmetries

Attila Egri-Nagy, Chrystopher L. Nehaniv

    Research output: Chapter in Book / Conference PaperConference Paperpeer-review

    Abstract

    ![CDATA[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.]]
    Original languageEnglish
    Title of host publicationArtificial Life and Computational Intelligence: First Australasian Conference, ACALCI 2015, Newcastle, NSW, Australia, February 5-7, 2015: Proceedings
    PublisherSpringer
    Pages17-30
    Number of pages14
    ISBN (Print)9783319148021
    DOIs
    Publication statusPublished - 2015
    EventACALCI (Conference) -
    Duration: 5 Feb 2015 → …

    Publication series

    Name
    ISSN (Print)0302-9743

    Conference

    ConferenceACALCI (Conference)
    Period5/02/15 → …

    Keywords

    • Rubik's Cube
    • algebra
    • artificial intelligence
    • decomposition (mathematics)
    • symmetry

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