File:Fold catastrophe animation.gif

Fold_catastrophe_animation.gif(480 × 480 pixels, file size: 15.43 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 = -y**2- 0.1 * x**4

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(angle_per_frame * i, -90)
   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('fold.mp4', fps=video_fps, extra_args=['-vcodec', 'libx264'])

plt.show()

```
Date
Source Own work
Author Cosmia Nebula

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

Captions

Fold catastrophe, plotted with $z = -y^2- 0.1 x^4$

Items portrayed in this file

depicts

4 January 2023

File history

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Date/TimeThumbnailDimensionsUserComment
current22:15, 4 January 2023Thumbnail for version as of 22:15, 4 January 2023480 × 480 (15.43 MB)Cosmia NebulaUploaded own work with UploadWizard
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