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Fig. 1 | Nanoscale Research Letters

Fig. 1

From: Small-Angle Scattering from Nanoscale Fat Fractals

Fig. 1

(Color online) A comparison between regular and fat fractals for the first two iterations, where the basic shape at m = 0 is a disk of diameter l 0 and the fractal size is l in: a l 0 = l in; b l 0 = l in/f, with f = 2. In both cases, at m = 1 the structures coincide due to equal scaling factors \(\beta _{\mathrm {s}}^{(1)}\). Starting with m = 2, the fat fractal has a bigger scaling factor \(\left (\beta _{\mathrm {s}}^{(2)} > \beta _{\mathrm {s}}^{(1)}\right)\), and thus, disks have a larger diameter (black disks) than in the case of regular fractal (red disks); a j are the position vectors and γ i are the fractions of removed length at ith iteration

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