import matplotlib.pyplot as plt import numpy as np def f(x, m, s): return (1.0/(np.sqrt(2*np.pi)*s))*np.exp(-0.5*((x-m)/s)**2) m = 0; s_start = 2; s_stop = 0.2 s_values = np.linspace(s_start, s_stop, 30) x = np.linspace(m -3*s_start, m + 3*s_start, 1000) # f is max for x=m (smaller s gives larger max value) max_f = f(m, m, s_stop) y = f(x,m,s_stop) lines = plt.plot(x,y) plt.axis([x[0], x[-1], -0.1, max_f]) plt.xlabel('x') plt.ylabel('f') frame_counter = 0 for s in s_values: y = f(x, m, s) lines[0].set_ydata(y) #update plot data and redraw plt.draw() plt.savefig(f'tmp_{frame_counter:04d}.png') #unique filename frame_counter += 1 """ Running the code leads to 30 new png files. The following command can turn them into an animated gif: convert -delay 5 -loop 0 *.png gauss.gif The convert program is part of a package called ImageMagick and needs to be installed. There are also online converters that can be used for the conversion. """