[Python] How could I zoom in on a generated Mandelbrot set without consuming too many...

I am trying to make a Mandelbrot set display, with the following code:

import numpy as np
import matplotlib.pyplot as plt

plt.rcParams['toolbar'] = 'None'

def mandelbrot(c, max_iter):
z = 0
for n in range(max_iter):
if abs(z) > 2:
return n
z = z*z + c
return max_iter

def mandelbrot_set(xmin, xmax, ymin, ymax, width, height, max_iter):
r1 = np.linspace(xmin, xmax, width)
r2 = np.linspace(ymin, ymax, height)
n3 = np.empty((width, height))

for i in range(width):
for j in range(height):
n3[i, j] = mandelbrot(r1 + 1j*r2[j], max_iter)
return n3.T

# Settings
xmin, xmax, ymin, ymax = -2.0, 1.0, -1.5, 1.5
width, height = 800, 800
max_iter = 256

# Generate Mandelbrot set
mandelbrot_image = mandelbrot_set(xmin, xmax, ymin, ymax, width, height, max_iter)

# Window
fig = plt.figure(figsize=(5, 5))
fig.canvas.manager.set_window_title('Mandelbrot Set')
ax = fig.add_axes([0, 0, 1, 1]) # Fill the whole window
ax.set_axis_off()

# Show fractal
ax.imshow(mandelbrot_image, extent=(xmin, xmax, ymin, ymax), cmap='hot')
plt.show()


How could I zoom in on the fractal continuously, without taking up too many resources? I am running on a mid-range laptop, and it currently takes a long time to generate the fractal. Is there a faster way to do this when implementing a zoom feature?

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