File:Ergodic mixing of putty ball after repeated Smale horseshoe map.jpg

From Infogalactic: the planetary knowledge core
Jump to: navigation, search
Original file(2,000 × 12,559 pixels, file size: 4.02 MB, MIME type: image/jpeg)

Summary

First, a small (2 cm in diameter) ball was made of putty of different colors. Then it was squashed flat and both sides were photographed. Then it was folded in two, squashed, folded in two again and squashed again and then both sides photographed.This operation was repeated several times, until the ball became quite homogeneous. Every squash+fold+squash procedure is equivalent to one iteration of so called "Smale horseshoe map", so it may be said that between consecutive photographs the ball was twice subjected to Smale horseshoe mapping. In the end it was cut in half to show that the internal material is also well-mixed.

Copyright status:

Creative Commons Attribution-Share Alike 3.0 Unported license.

Source:

https://commons.wikimedia.org/w/index.php?title=User:NotKlayman

File history

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

Date/TimeThumbnailDimensionsUserComment
current05:22, 9 July 2017Thumbnail for version as of 05:22, 9 July 20172,000 × 12,559 (4.02 MB)Thales (talk | contribs)First, a small (2 cm in diameter) ball was made of putty of different colors. Then it was squashed flat and both sides were photographed. Then it was folded in two, squashed, folded in two again and squashed again and then both sides photographed.This...
  • You cannot overwrite this file.

The following 2 pages link to this file: