Universal configurations with O(hw) particles assemble any h×w patterned rectangle or bounded connected shape; occupancy, relocation, and reconfiguration problems are PSPACE-complete with polyominoes.
Patitz, An introduction to tile-based self-assembly and a survey of recent results , Natural Computing 13 (2014), no
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Full Tilt: Universal Constructors for General Shapes with Uniform External Forces
Universal configurations with O(hw) particles assemble any h×w patterned rectangle or bounded connected shape; occupancy, relocation, and reconfiguration problems are PSPACE-complete with polyominoes.