The first law of cubology for the Rubik's Revenge
Stefano Bonzio, Andrea Loi, Luisa Peruzzi
TL;DR
This paper establishes the fundamental solvability conditions for the Rubik's Revenge, providing a mathematical framework that determines when a scrambled cube can be solved.
Contribution
It introduces the first law of cubology for the Rubik's Revenge, offering necessary and sufficient conditions for its solvability.
Findings
Derived the first law of cubology for the Rubik's Revenge
Provided necessary and sufficient conditions for solvability
Mathematically characterized the cube's configuration space
Abstract
We state and prove the first law of cubology of the Rubik's Revenge and provide necessary and sufficient conditions for a randomly assembled Rubik's Revenge to be solvable.
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