Influence of choosing different values for the intrinsic luminosity of the planet on the upper boundary of the Hot Water World triangles, for a planetary equilibrium temperature of 1000 K (top, similar to the conditions of TOI-1685 b) and 1400 K (bottom, similar to the conditions of TOI-238 b). The dotted lines show the mass–radius models generated using a value of 10²¹ erg/s, while the shaded regions visualise the influence of choosing a lower (10²⁰ erg/s for the lower boundary) or higher value (10²² erg/s for the upper boundary). The remaining line styles and colours are the same as in Figure 1.