Distribution of the Type-III S0 galaxies at 0.2 < z < 0.6 and the local sample from E08 and G11 in the structural diagrams. Upper left panel: h_i vs. R_break. Upper right panel: h_i/R₂₃ vs.R_break/R₂₃. Lower left panel: h_o vs. R_break. Lower right panel: h_o/R₂₃ vs. R_break /R₂₃. Solid red line: linear fit to the Type-III S0 galaxies at 0.4 < z < 0.6. Dashed black line: linear fit to the local Type-III S0 galaxies. Dash-dotted purple line: linear fit to the simulations of Type-III S0 galaxies from B14. Their respective coloured regions represent the 1σ confidence level region of each linear fit. In both cases, the relations fitted were in logarithmic scale in both x and y-axis (log₁₀ (h_i) ∝ log₁₀(R_break), log₁₀ (h_i ∕R₂₃) ∝ log₁₀(R_break∕R₂₃), log₁₀ (h_o) ∝ log₁₀(R_break) and log₁₀(h_o∕R₂₃) ∝ log₁₀(R_break∕R₂₃)). We refer to the legend in the figure for the redshift colour classification and correlation tests.