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math.CO2016
The first law of cubology for the Rubik's Revenge
Stefano Bonzio, Andrea Loi, Luisa Peruzzi
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.
math.LO2016
A duality for involutive bisemilattices
Stefano Bonzio, Andrea Loi, Luisa Peruzzi
We establish a natural duality between the category of involutive bisemilattices and the category of semilattice inverse systems of Stone spaces, using Stone duality from one side…