File:N-curving.gif

N-curving.gif(486 × 316 pixels, file size: 473 KB, MIME type: image/gif, looped, 20 frames, 4.0 s)

Summary

 
This diagram was created with SageMath.
Description
English: N-curving example for w:rhodonea curve
Date
Source Own work
Author Krishnavedala

Created using sage software with python interpreter and with the following script.

var('a t')
v=[]
for a in srange(0,20,1):
    pl = parametric_plot( (2*pi*(t-.5+cos(4*pi*a*t)*cos(2*pi*a*t)), \
        cos(2*pi*t)+2*pi*cos(4*pi*a*t)*sin(2*pi*a*t)), (t,0,1))
    pl += text('$N=%s$'%a, (7,7), rgbcolor=(0,0,0))
    pl.set_axes_range(-10,10,-7,7)
    v.append(pl)
mov = animate(v)
mov.show()
mov.save(os.path.join(SAGE_TMP,'N-curving.gif'))

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
You may select the license of your choice.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

8 December 2010

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current21:22, 8 December 2010Thumbnail for version as of 21:22, 8 December 2010486 × 316 (473 KB)Krishnavedala{{Information |Description={{en|1=N-curving example for w:rhodonea curve <math>r = cos(2\theta)</math>}} |Source={{own}} |Author=Krishnavedala |Date=2010-12-08 |Permission= |other_versions= }
The following pages on the English Wikipedia use this file (pages on other projects are not listed):