Two molecules with four sticky ends can only fully bond into an aperiodic pattern, at least in simulation. But growing it by guessing hides provable dead ends
Programmable matter will have to answer a basic question: which local rules force which global order? This paper studies “autocrystals”, local pattern statistics that force a structure to have no repeating unit cell. It gives an exact recipe: two hexagonal building blocks, each free to rotate, with…
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