Fundamental plane of SF and ISM. Left panel: M_H2 vs. M_⋆, and SFR in a three-dimensional projection. Data are color coded as a function of their distance from the best-fit function. The green, blue, and red-shaded heat maps represent the density profiles of the data on the gKS, MGMS, and MS planes, respectively. Contours are shown to better distinguish the density profile, divided into ten levels. The best-fit relation of each two-dimensional panel is color coded according to the data heat maps, while best-fit parameters are listed in Table D.1. Right panel: M_H2 vs. M_{HI, R25}, and M_dust in a three-dimensional projection. Color coding is the same as in the left panel. The green, blue, and red-shaded heat maps represent the density profiles of the data on the M_H2-M_{HI, R25}, M_dust-M_{HI, R25}, and MGD planes, respectively.