Variation in the LMC disc plane fitting as a function of the azimuth ϕ and the LMC galactocentric radius R^′. Left panels: LMC Combined complete sample. Right panels: LMC Combined optimal sample. The first and the third (second and fourth) panels show the inclination i (line-of-nodes position angle Ω). Only bins with more than 50 stars are displayed. Each colour bar is centred on the ‘global’ fit derived in Sect. 4.2. The statistical uncertainties in the displayed quantities depend primarily on the number of stars in each given bin. These uncertainties are much smaller than the spatial variations visible in the maps. The median inclination uncertainty is 1 degree, and the median line-of-nodes position angle uncertainty is 4 degrees.