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Interfaces mapped to the monomer in b are shown between interacting partners for the trimer (left), tetrahedral cage (middle) and crystal (right). To maximize assembly cooperativity, the interface size (BSA, buried surface area) and affinity (Rosetta calculated ddG 30) decrease through the design hierarchy; the number of system degrees of freedom available for sampling at each step (Methods) decreases in parallel, making the design challenge more difficult.

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