""" Animation of a zoom ====================== """ #################################### # Some Setup # ---------------------------------- # There are multiple ways to animate a zoom with matplotlib. This package use one very close to the one below. # import chaoseverywhere as chaos import matplotlib.pyplot as plt import matplotlib.animation as animation ################################# # See a self-similar structure # ----------------------------------- # The Mandelbrot set is clearly not a self-similar object. But inside it, we can see structures repeating themselves. # plt.figure() plt.axis('off') plt.imshow(chaos.Mandelbrot_disp(-1, -.3, 0.4-110/300, t_max=100, precision=400).mandelbrot(), cmap='bone') plt.show() ###################################### # One way to animate a zoom # ----------------------------------- # # .. code-block:: python # # im_init = chaos.Mandelbrot_disp(-.5,0,1.5) # im_init = im_init.mandelbrot() # fig = plt.figure() # im = plt.imshow(im_init, cmap='bone', animated=True) # # ims = [] # for i in range(150): # im = plt.imshow(chaos.Mandelbrot_disp(-1, -.3, 0.4-i/300, # t_max=100, # precision=400).mandelbrot(), animated=True, cmap='bone') # ims.append([im]) # ani = animation.ArtistAnimation(fig, ims, interval=50) # plt.show() # # # This is one way to display the animation. However, one might want a shorter way. # And forntunatly, this is what this package provides. # # .. code-block:: python # # chaos.Mandelbrot_disp(-.5,0,1.5).animate_mandel_plt() # ######################## # The video # ---------------- # This package uses FFMPEG as writer to create and save this animation. # Because of the symmetry, we zoomed in on the point :math:`-1-0.3i` and we can play with the # number of frames to end the animation with a zoom out from the point :math:`-1+0.3i`. # # .. raw:: html # # #