File:Cusp catastrophe animation gif.gif

Cusp_catastrophe_animation_gif.gif (480 × 480 pixels, file size: 21.32 MB, MIME type: image/gif, looped, 300 frames, 10 s)

Summary

Description
English: ```python

from mpl_toolkits import mplot3d import numpy as np import matplotlib.pyplot as plt import matplotlib.animation as animation

video_length = 10 # in seconds video_fps = 30 num_frames = video_fps * video_length angle_per_frame = (360 / num_frames)

stride = 5 width = 3

a = np.linspace(-width, width, 500) b = a x, y = np.meshgrid(a, b) z = np.clip(-0.1 * (x**4 + y**4) - y**3 + x * y

           , -5, 5)

plt.tick_params(left = False) fig = plt.figure(figsize= (10,10)) ax = plt.axes(projection ='3d') frame = ax.plot_wireframe(x, y, z, color ='#4a5a90', rstride=stride, cstride=stride)

def init():

   ax.set_box_aspect((1,1,1))
   ax.view_init(0, -90)
   ax.axis('off')
   ax.set_xlim(-1,1)
   ax.set_ylim(-1,1)
   ax.set_zlim(-1, 1)
   return frame,
  1. animation function. This is called sequentially

def animate(i):

   ax.view_init(0, -90 + angle_per_frame * i)
   return frame,
  1. call the animator. blit=True means only re-draw the parts that have changed.

anim = animation.FuncAnimation(fig, animate, init_func=init,

                              frames=num_frames, blit=True)

anim.save('cusp.mp4', fps=video_fps, extra_args=['-vcodec', 'libx264'])

plt.show()

```
Date
Source Own work
Author Cosmia Nebula

Licensing

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Captions

Cusp catastrophe, with surface $z = -0.1 (x^4 + y^4) - y^3 + xy$.

Items portrayed in this file

depicts

4 January 2023

image/gif

f487f0ca767c68d1254e7a905cd3bdee416cfff5

22,356,559 byte

10.009999999999971 second

480 pixel

480 pixel

File history

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Date/TimeThumbnailDimensionsUserComment
current22:03, 4 January 2023Thumbnail for version as of 22:03, 4 January 2023480 × 480 (21.32 MB)Cosmia NebulaUploaded own work with UploadWizard

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