Mandelbrot set: Difference between revisions
Content added Content deleted
(→Advanced: Distance estimation and Mercator zoom: Explanation shortened) |
(→Advanced: Distance estimation and Mercator zoom: abs function no longer required as B is real.) |
||
| Line 7,256: | Line 7,256: | ||
===Advanced: Distance estimation and Mercator zoom=== |
===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 ( |
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'']). |
||
<lang python>import numpy as np |
<lang python>import numpy as np |
||
import matplotlib.pyplot as plt |
import matplotlib.pyplot as plt |
||
| Line 7,319: | Line 7,319: | ||
X, Y = C.real, C.imag |
X, Y = C.real, C.imag |
||
S = 150 * 2 * np.pi |
S = 150 * 2 / d * np.pi * np.exp(-B) # scaling depends on the size of the figure |
||
fig, ax = plt.subplots(2, 2, figsize=(16, 16)) |
fig, ax = plt.subplots(2, 2, figsize=(16, 16)) |
||