Mandelbrot set: Difference between revisions
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(→Advanced: Distance estimation and Mercator zoom: abs function no longer required as B is real.) |
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plt.show()</lang> |
plt.show()</lang> |
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===Basic: Escape time and normalized iteration count=== |
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Actually the same, but without optimizations and therefore better suited for teaching. First the simple escape time algorithm using NumPy and complex matrices. |
Actually the same, but without optimizations and therefore better suited for teaching. First the simple escape time algorithm using NumPy and complex matrices. |
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<lang python>import numpy as np |
<lang python>import numpy as np |
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plt.imshow(T ** 0.1, cmap=plt.cm.twilight_shifted) |
plt.imshow(T ** 0.1, cmap=plt.cm.twilight_shifted) |
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plt.savefig("Mandelbrot_set.png", dpi=250)</lang> |
plt.savefig("Mandelbrot_set.png", dpi=250)</lang> |
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It is possible to print the Mandelbrot set with a scatter plot. Exterior distance estimation is used, which provides a smooth transition of colors (see Wikipedia: [https://en.wikipedia.org/wiki/Plotting_algorithms_for_the_Mandelbrot_set#Exterior_distance_estimation ''Advanced plotting algorithms: Exterior distance estimation''] and Syntopia: [http://blog.hvidtfeldts.net/index.php/2011/09/distance-estimated-3d-fractals-v-the-mandelbulb-different-de-approximations/ ''Distance Estimated 3D Fractals (V): The Mandelbulb & Different DE Approximations'']). |
It is possible to print the Mandelbrot set with a scatter plot. Exterior distance estimation is used, which provides a smooth transition of colors (see Wikipedia: [https://en.wikipedia.org/wiki/Plotting_algorithms_for_the_Mandelbrot_set#Exterior_distance_estimation ''Advanced plotting algorithms: Exterior distance estimation''] and Syntopia: [http://blog.hvidtfeldts.net/index.php/2011/09/distance-estimated-3d-fractals-v-the-mandelbulb-different-de-approximations/ ''Distance Estimated 3D Fractals (V): The Mandelbulb & Different DE Approximations'']). |
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<lang python>import numpy as np |
<lang python>import numpy as np |
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