Mandelbrot set: Difference between revisions
→Advanced: Distance estimation and Mercator zoom: Corrected the distance formula (the correct factor is 0.5 and not 2, see Syntopia)
m (→Basic: Escape time and normalized iteration count: The large value for r was only for the subsequent correction of the iteration numbers.) |
(→Advanced: Distance estimation and Mercator zoom: Corrected the distance formula (the correct factor is 0.5 and not 2, see Syntopia)) |
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===Advanced: Distance estimation and Mercator zoom===
It is possible to print the Mandelbrot set with a scatter plot. Exterior distance estimation is used, which provides a smooth transition of colors (cf. 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'']).
<lang python>import numpy as np
import matplotlib.pyplot as plt
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N = abs(Z) >= r
T[N] =
fig, ax = plt.subplots(figsize=(4, 3))
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N = abs(Z) >= r
T[N] =
fig, ax = plt.subplots(figsize=(4, 16))
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