  We study the Wigner crystallization on partially filled topological flat
bands. We identify the Wigner crystals by analyzing the cartesian and angular
Fourier transform of the pair correlation density of the many-body ground state
obtained using exact diagonalization. The crystallization strength measured by
the magnitude of the Fourier peaks, increases with decreasing particle density.
The shape of the resulting Wigner crystals is determined by the boundary
conditions of the chosen plaquette and to a large extent independent on the
underlying lattice, including its topology, and follows the behavior of
classical point particles.
