Cube-Connected Cycles

Cube-connected cycles represent the shortest loop an "informaton" can travel through a null-distance region. Basically, a pulse of energy passing across Planck-length distances in order to trigger signals would be moving along a given set of cycles to get to its destination; the hypercube is just the prism between the origin and any receivers.

Also, it's a good way to describe the faces of certain cubic-oriented crystals.

Another possibility is that cube-connected cycles of n values between about 5 and 31 make a good framework upon which to build memristor-based artificial intelligences, after casting those structures into the relevant number of dimensions (3-4 in the case of physical structures); just add room for random connections during growth and training, and occasionally an outer layer of relatively uniform but fuzzily-random length nodes. Institute moderate neural pruning at regular intervals, and train with sufficient data or experience, et voila!