Fig. 4.

Islet-1 mosaics are indistinguishable from random distributions generated by imposing a minimal distance of 15 ± 2 μm between neighboring cells. a, A field of the INL Islet-1 mosaic is illustrated (dots represent cells) together with the tiling of the plane that it generates (Voronoi domains). b, Tiling of the plane arising from a random distribution of cells (random_dmin) that was generated, imposing a lower limit (dmin = 15 ± 2 μm) to the distance between neighboring cells. Cell density is identical to that of the Islet-1⁺ mosaic shown in a. c, Tiling generated by a random distribution of cells at the same cell density as ina. d, e, Fast Fourier Transform (FFT) of the Islet-1 mosaic (d) and the random_dmindistribution (e). FFTs are represented as amplitude maps and illustrated in the intervals ω_x ∈ (−60,60 μm⁻¹), ω_y ∈ (−40,40 μm⁻¹). The center of the figure is the center of the coordinates. In both cases the phase distributions are random. The FFTs of the real and simulated mosaic are nearly identical, which is also illustrated in f(top), where a horizontal section throughd (continuous line) and e(dotted line) at the midline are shown.Bottom, Difference between the amplitude of the two FFTs at the section level, illustrating that the two FFTs differ by no more than 10%.