Evolution of the scale height of the G_LMC disc. The dotted, dashed, and solid lines show the G_LMC, G_LMC + G_SMC, and G_LMC + G_SMC + G_MW models, respectively. The different panels represent different sets of simulations. The vertical purple solid (dashed) lines correspond to the G_LMC − G_SMC pericentres of the G_LMC + G_SMC + G_MW (G_LMC + G_SMC) models. The vertical grey dashed line corresponds to the present time t = 0. For the sake of comparison, we plot the evolution of the scale height of the G_LMC disc for the models of the fiducial set in shadowed blue lines.