Codes for the research article "A universal dual-symmetry principle for assembling complex lattices from simple interactions"

Experiments (Demo included):<br>"Feature&amp;Force" live manuscript read experimental images, track the motion of particles, compute the pair correlation function, and measure the forces generated by the optical trap.Detailed illustrations are included. “*.dat”records the trajectory of particles around the optical trap.<br>Simulations (Demo included):<br>The initial states of molecular dynamics simulations is generated by the MATLAB script "main.m".Each section of "main.m" corresponds to different Archimedean lattice motif. You can modify "repeating period" and "substrate points" to select the sublattice."repeating period" is a two-element array [Nx, Ny] specifying the size of the unit cell of the sublattice.This unit cell of lattice repeats the original unit cell of the Archmedean lattice Nx times in the first lattice vector direction and Ny times in the second lattice vector."substrate points" is a cell array with dimension Nx*Ny, each element of this cell contains an array with the index of particles selected in the original unit cell.The initial state is generated as "Lattice.data". Example of "Lattice.data" shows a way of selection of (3^3.4^2)The LAMMPS script "in.DSG" runs the simulation with the initial state "Lattice.data".The interaction strength of trap can be modified through the Gaussian pair potential between particle type 1 and type 2.The interaction strength between particles can be modified through the Yukawa pair potential between particle type 2.After running in.DSG, the trajectory of the simulation is saved in the files "LAMMPS.*".