Fig. 1.

Schematic representation of the three Archimedean structures with five contact points per vertex and of a valence-five particle with two types of patches (green and red) which according to the SAT algorithm can assemble into the three different polyhedron shells. Note that, in this specific design, the green patches only interact with green while the red patches only interact with red. γ indicates the in-plane angle between the two red patches.