Mandelbrot set: Difference between revisions
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(→{{header|TeX}}: Separated solutions by language and minimalised.) |
(→Python with and without NumPy (no optimizations): Heading changed: Escape time and normalized iteration count (Basic)) |
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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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===Python with and without NumPy (no optimizations)=== |
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Actually the same, but without optimizations and therefore better suited for teaching. At first without NumPy, but already with complex numbers. |
Actually the same, but without optimizations and therefore better suited for teaching. At first without NumPy, but already with complex numbers. |
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<lang python>import |
<lang python>import matplotlib.pyplot as plt |
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import matplotlib.pyplot as plt |
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z = z ** 2 + c |
z = z ** 2 + c |
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T[i][j] = k + 1 |
T[i][j] = k + 1 |
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if abs(z) >= r: # normalized iteration count (smooth coloring) |
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T[i][j] = T[i][j] - mt.log2(mt.log(abs(z)) / mt.log(r)) |
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plt.imshow(T, cmap=plt.cm.twilight_shifted) |
plt.imshow(T, cmap=plt.cm.twilight_shifted) |
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plt.savefig("Mandelbrot.png", dpi=250)</lang> |
plt.savefig("Mandelbrot.png", dpi=250)</lang> |
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At second with NumPy and complex matrices. The ''normalized iteration count'' algorithm is used, which provides a smooth transition of colors between iterations (cf. Wikipedia: [https://en.wikipedia.org/wiki/Plotting_algorithms_for_the_Mandelbrot_set#Continuous_(smooth)_coloring ''Plotting algorithms for the Mandelbrot set: Continuous (smooth) coloring'']). |
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At second with NumPy and complex matrices. |
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<lang python>import numpy as np |
<lang python>import numpy as np |
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import matplotlib.pyplot as plt |
import matplotlib.pyplot as plt |
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