Top Table: Graphic representation of the different multiparticle SAT solutions explored in this study, clarifying the respective patch coloring and interactions rules. Additional information regarding the designs is reported in SI Appendix. Panels (A), (B), and (C) show the most probable structure formed for different in-plane angles, γ, and for different patch width, cosθmax, each for one specific SAT design. Panel (A) is based on a two-species and five-colors design, which allows the formation only of the icosahedron. Panel (B) is also based on a two-species and five-colors design, but which allows only the formation of the snub cube. Finally, (C) describes a four-species and twelve-colors SAT solution for which fully bonded configurations can be achieved only in the snub dodecahedron geometry. As for the previous figures, the colored areas indicate regions of the parameter space where self-assembly of the desired structure is successful. Results were calculated with T = 0.097 and ρ = 0.01. Temperature (T) is expressed in units of ε and kB = 1, while all lengths are in units of σ.