On the nxnxn Rubik's Cube
Stefano Bonzio, Andrea Loi, Luisa Peruzzi
TL;DR
This paper provides a detailed description of the nxnxn Rubik's Cube and establishes a solvability criterion, called the 'first law of Cubology,' for this generalized puzzle.
Contribution
It introduces the first formal solvability criterion for the nxnxn Rubik's Cube, extending the theoretical understanding of its mechanics.
Findings
Detailed description of the nxnxn Rubik's Cube
Proof of the 'first law of Cubology' for solvability
Establishment of a formal solvability criterion
Abstract
We describe in details the nxnxn Rubik's Cube, namely a Rubik's Cube with n rotating slices in each face. Then we state and prove the "first law of Cubology", i.e. the solvability criterion, for it
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