Mandelbrot setΒΆ

Compute the Mandelbrot fractal and plot it

../../../_images/sphx_glr_plot_mandelbrot_001.png
import numpy as np
import matplotlib.pyplot as plt
from numpy import newaxis
def compute_mandelbrot(N_max, some_threshold, nx, ny):
# A grid of c-values
x = np.linspace(-2, 1, nx)
y = np.linspace(-1.5, 1.5, ny)
c = x[:,newaxis] + 1j*y[newaxis,:]
# Mandelbrot iteration
z = c
for j in range(N_max):
z = z**2 + c
mandelbrot_set = (abs(z) < some_threshold)
return mandelbrot_set
mandelbrot_set = compute_mandelbrot(50, 50., 601, 401)
plt.imshow(mandelbrot_set.T, extent=[-2, 1, -1.5, 1.5])
plt.gray()
plt.show()

Total running time of the script: ( 0 minutes 0.121 seconds)

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