This Fractal Friday is the first since the official release of MathPaint 1.0 on the Mac App Store! The fractals here were all made with MathPaint – check out the MathPaint app page for all its amazing features, screenshots, and a free demo.
Mobile Wallpapers: Warped Julia Sets
This week’s fractals are all quadratic (z^2) Julia sets with a real-valued warp function applied. They’re provided in three sizes. If you’re on an iPhone, just click the thumbnail of the size you want to view the full image, which you can tap and hold to save to your Photos. Open in Photos and click the actions icon to set it as a Wallpaper for your phone.
C = -0.68 + 0.5i, warp(x) = A*tgamma(B*x)+C
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C = -0.8 + 0.18i, warp(x) = A*atanh(cos(B*x))
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C = -0.9 + 0.35i, warp(x) = A*atanh(cos(B*x))
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C = -0.68 + 0.55i, warp(x) = A*abs(B*x)-C
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