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Parameter plane, simple escape algorithm Parameter plane, simple escape algorithm Parameter plane, simple escape algorithm Parameter plane, semi-hyperbolic components for the asymptotic value Parameter plane, semi-hyperbolic components for the asymptotic value Parameter plane, semi-hyperbolic components for the asymptotic value Dynamic plane, large value of a. Siegel disk in red Dynamic plane for f(z)=Lz(z/2+1). Siegel disk in red

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Parameter plane, semi-hyperbolic components for the critical value Parameter plane, semi-hyperbolic components for the critical value Parameter plane, centers of semi-hyperbolic components for the critical value Parameter plane, centers of semi-hyperbolic components for the critical value Looking for pre-Siegel centers Looking for pre-Siegel centers Looking for pre-Siegel centers Different colours

Fractal image Fractal image Lavaurs lamination Fractal image Fractal image Fractal image Fractal image
A quadratic-like Siegel disk, with logarithmic color scalings A quadratic-like Douady rabbit, with logarithmic color scalings Lavaurs lamination. BW PS available here, random colors here Densitiy of points in unstability regions Basins of attraction of Newton's method for 3 iterates Zoom of previous image Capture components and hyperbolic components. More or less