Echoes of the hexagon: remnants of hexagonal packing inside regular polygons

Paolo Amore, Mauricio Carrizalez, Ulises Zarate

Based on numerical simulations that we have carried out, we provide evidence that for regular polygons with $\sigma =6j$ sides (with $j=2,3,\dots$), $N(k)=3k(k+1)+1$ (with $k=1,2,\dot…