I'm wondering, what is wrong with this code that tries to reproduce a animated version of Mandelbrot fractals. I think the structure-wise, it should be ok, since I can get a static plot without the animation part, but when I try to run it with animation to perform iterations, it give me error.
Upon execution of the code, I got UserWarning: Animation was deleted without rendering anything. This is most likely unintended. To prevent deletion, assign the Animation to a variable that exists for as long as you need the Animation.
but apparently a variable is assigned to it...
import numpy as np
import matplotlib.pyplot as plt
from matplotlib.animation import FuncAnimation
def mandelbrot(x, y, threshold):
"""Calculates whether the number c = x + i*y belongs to the
Mandelbrot set. In order to belong, the sequence z[i + 1] = z[i]**2 + c
must not diverge after 'threshold' number of steps. The sequence diverges
if the absolute value of z[i+1] is greater than 4.
"""
c = complex(x, y)
z = complex(0, 0)
for i in range(threshold):
z = z**2 + c
if abs(z) > 4.: # it diverged
return i
return threshold - 1 # it didn't diverge
x_start, y_start = -2, -1.5
width, height = 3, 3
density_per_unit = 250
# real and imaginary axis
re = np.linspace(x_start, x_start + width, width * density_per_unit )
im = np.linspace(y_start, y_start + height, height * density_per_unit)
def animate(i):
ax.clear()
ax.set_xticks([], [])
ax.set_yticks([], [])
X = np.empty((len(re), len(im)))
threshold = round(1.15**(i + 1))
# iterations for the current threshold
for i in range(len(re)):
for j in range(len(im)):
X[i, j] = mandelbrot(re[i], im[j], threshold)
# associate colors to the iterations with an iterpolation
img = ax.imshow(X.T, interpolation="bicubic", cmap='magma')
return [img]
fig = plt.figure(figsize=(10, 10))
ax = plt.axes()
anim = FuncAnimation(fig, animate, frames=45, interval=100, repeat=True)