  We use tropical curves and toric degeneration techniques to construct closed
embedded Lagrangian rational homology spheres in a lot of Calabi-Yau
threefolds.
  We apply this construction to the tropical curves obtained from the 2875
lines on the quintic Calabi-Yau threefold.
  Each admissible tropical curve gives a Lagrangian rational homology sphere in
the corresponding mirror quintic threefold and disjoint curves give pairwise
homologous but non-Hamiltonian isotopic Lagrangians.
  We check in an example that $>300$ mutually disjoint curves (and hence
Lagrangians) arise.
  We show that the weight of each of these Lagrangians equals to the
multiplicity of the corresponding tropical curve.
