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On Aug 19, 3:29 pm, Nicodemus <Ancient-of-D...@xxxxxxxxxx> wrote:
> amzoti <amz...@xxxxxxxxx> wrote
> innews:71e4e789-fbee-4144-b063-d0ce06efe661@xxxxxxxxxxxxxxxxxxxxxxxxxxx:
>
>
>
> > On Aug 19, 2:47 pm, socraticquest <socraticqu...@xxxxxxxxxxx> wrote:
> >> Hello,
>
> >> Any recommendations for software that simulates Henri Poincare's
> >> 'geometric operation of stretching?' Is there software available that
> >> can run on Windows XP, and allows users to input there own images to
> >> simulate Poincare's experiment?
>
> >> Thank-you
>
> > See the article with pictures here:
>
> >http://cse.ucdavis.edu/~chaos/courses/ncaso/Readings/Chaos_SciAm1986/Ch
> > aos_SciAm1986.html
>
> > I saw a talk once where this simulation was done - but it was not
> > real.
>
> > It could be made real if you use a computer algebra program.
>
> > Here is what it would do:
>
> > 1. Find a matrix that when taken to some power n, return to the
> > original matrix.
>
> > 2. Use this matrix to represent vectors on the a 2-d screen.
>
> > 3. Take a graphic that (x,y) coordinates on the screen and multiply
> > and plot them.
>
> > You should be able to simulate the images in the cited reference above
> > (I actually did it - but only used simple images and Mathematica a
> > long time ago).
>
> > The talk was called "The order within chaos" by Chris Rorres.
>
> > I think he even had it in the book: Elementary Linear Algebra:
> > Applications Version by Anton and Rorres (from Drexel University).
>
> > HTH ~A
>
> Best Of Luck, your computer is some new fangled' abacus here in The 21st
> Century, where Freeware and Freemen gather to analyze it is clear, The
> Word Freeware has not yet been entered into The Dictionary Of Life.
>
> I do hope that I have not added to all the bickering here at this
> wonderful group of experts about freeware, or the best freeware..
>
> Hold onto your fork, The Best Is Yet To Come..
>
> ** Posted from www.teranews.com**">http://www.teranews.com**
Of course, if one can get past your terrible attitude, they can easily
find an alternate CAS here:
en.wikipedia.org/wiki/List_of_computer_algebra_systems">http://en.wikipedia.org/wiki/List_of_computer_algebra_systems
It is not that hard to program that up.
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