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Results of applying our algorithms to four renderings of mathematical fractals. The entropies in (b), (e), (h), and (k) are in nats, which are the natural units for information and entropy, with base e rather than 2: 1 nat ≈ 1.44 bits, and are plotted for α = 0,1, 2. All the fractal dimension plots (c), (f), (i), and (l) use σ = 0.5 in (6), except for (i) where σ = 0.3 for the circles. Horizontal bar indicates Hausdorff dimension D H of each mathematical fractal.
