File:Foldings2.png

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Summary

Description
English: Pre-images of the areas from the square domain of the horseshoe that remain in the square.

Produced with Postscript and Illustrator

Notes

The square on the left gets mapped by the Smale Horseshoe map to the green region. Successive iterations will fold the original square even more. Only part of the original square gets mapped back into the square.

The solid orange part indicates the points in the square that get mapped back into the square by one iteration (for the left square) or two iterations (for the right square).

The original points of the square also get oriented in different directions. The dashed regions in orange indicate how to continue the orientation of the orange strips. No points in the dashed orange region participate in the dynamics of the horseshoe.
Date 21 May 2005 (original upload date)
Source Transferred from en.wikipedia to Commons by IngerAlHaosului using CommonsHelper.
Author The original uploader was XaosBits at English Wikipedia.
Permission
(Reusing this file)
FAL.

Licensing

Licence Art Libre Copyleft: This work of art is free; you can redistribute it and/or modify it according to terms of the Free Art License. You will find a specimen of this license on the Copyleft Attitude site as well as on other sites.

Original upload log

The original description page was here. All following user names refer to en.wikipedia.
  • 2005-05-21 15:38 XaosBits 2048×1276× (46739 bytes)
  • 2005-03-31 04:08 XaosBits 2048×1276× (46599 bytes)

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21 May 2005

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Date/TimeThumbnailDimensionsUserComment
current19:20, 20 January 2010Thumbnail for version as of 19:20, 20 January 20102,048 × 1,276 (46 KB)File Upload Bot (Magnus Manske) {{BotMoveToCommons|en.wikipedia|year={{subst:CURRENTYEAR}}|month={{subst:CURRENTMONTHNAME}}|day={{subst:CURRENTDAY}}}} {{Information |Description={{en|Pre-images of the areas from the square domain of the horseshoe that remain in the square. Produced wi
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