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We show that every ridge unfolding of an $n$-cube is without self-overlap,yielding a valid net. The results are obtained by developing machinery thattranslates cube unfolding into combinatorial frameworks. Moreover, the geometryof the bounding boxes of these cube nets are classified using integerpartitions, as well as the combinatorics of path unfoldings seen through thelens of chord diagrams.

Unfolding cubes: nets, packings, partitions, chords