File:Mandelbrot numpy set 6.png
Summary
| Description |
Deutsch: Die Mandelbrot-Menge wird mit NumPy unter Verwendung komplexer Matrizen berechnet. Die Einfärbung geschieht durch sogenannte Orbit Traps. English: The Mandelbrot set is calculated with NumPy using complex matrices. The coloring is done using so-called orbit traps. |
| Date | |
| Source | Own work |
| Author | Majow |
| Other versions |
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| PNG development | |
| Source code | Python codeimport numpy as np
import matplotlib.pyplot as plt
d, h = 800, 600 # pixel density (= image width) and image height
n, r = 200, 500 # number of iterations and escape radius (r > 2)
x = np.linspace(0, 2, num=d+1)
y = np.linspace(0, 2 * h / d, num=h+1)
A, B = np.meshgrid(x - 1, y - h / d)
C = (2.0 + 1.0j) * (A + B * 1j) - 0.5
def iteration(C):
S, Z = np.abs(C), np.copy(C)
def iterate(C, S, Z):
S = np.minimum(abs(Z), S)
S = np.minimum(abs((Z * (1.0 + 0.5j)).real - 4.0), S)
S = np.minimum(abs((Z * (1.0 - 0.5j)).real - 4.0), S)
Z = Z * Z + C
return S, Z
for i in range(n):
M = abs(Z) < r
S[M], Z[M] = iterate(C[M], S[M], Z[M])
return S, Z
S, Z = iteration(C)
fig = plt.figure(figsize=(12.8, 4.8))
fig.subplots_adjust(left=0.05, right=0.95, bottom=0.05, top=0.95)
ax1 = fig.add_subplot(1, 2, 1)
ax1.imshow(S ** 0.5, cmap=plt.cm.hot, origin="lower")
ax2 = fig.add_subplot(1, 2, 2)
ax2.imshow(S ** 0.5, cmap=plt.cm.hot_r, origin="lower")
fig.savefig("Mandelbrot_numpy_set_6.png", dpi=200)
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Licensing
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