Packing solid shapes into regular lattices can yield
very complex
assemblies, not all of which achieve the highest packing fraction.
In two dimensions, the regular pentagon is paradigmatic, being the
simplest shape that does not pave the plane completely. In this work,
we demonstrate the packing of plasmonic nanoprisms with pentagonal
cross section, which form extended supercrystals. We do encounter
the long-predicted ice-ray and Dürer packings (with packing
fractions of 0.921 and 0.854, respectively) but also a variety of
novel polymorphs that can be obtained from these two configurations
by a continuous sliding transformation and exhibit an intermediate
packing fraction. Beyond the fundamental interest of this result,
fine control over the density and symmetry of such plasmonic assemblies
opens the perspective of tuning their optical properties, with potential
applications in metamaterial fabrication, catalysis, or molecular
detection.