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Licensed Unlicensed Requires Authentication Published by De Gruyter October 20, 2018

On the n × n × n Rubik's Cube

Stefano Bonzio, Andrea Loi and Luisa Peruzzi
From the journal Mathematica Slovaca


We state and prove the “First law of Cubology”, i.e. the solvability criterion, for the n × n × n Rubik's Cube.

  1. (Communicated by Anatolij Dvurečenskij)


The work of the first author is supported by project GBP202/12/G061 of the Czech Science Foundation. The second author was supported by Prin 2015 – Real and Complex Manifolds; Geometry, Topology and Harmonic Analysis – Italy, by INdAM, by GNSAGA – Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni – and also by GESTA – Funded by Fondazione di Sardegna and Regione Autonoma della Sardegna.


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Received: 2017-03-09
Accepted: 2017-08-15
Published Online: 2018-10-20
Published in Print: 2018-10-25

© 2018 Mathematical Institute Slovak Academy of Sciences