Friday, January 27, 2012

Fractal Spirograph (Fractal Roulette)


( Click on the image for a larger view. )



( Click on the image for a larger view. )



( Click on the image for a larger view. )



( Click on the image for a larger view. )



( Click on the image for a larger view. )



( Click on the image for a larger view. )



( Click on the image for a larger view. )



( Click on the image for a larger view. )


(A few images of successive zooming in on the small region are shown below.)



( Click on the image for a larger view. )


( Mathematical softwares used: GeoGebra, gnuplot )


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3 comments:

  1. The 5th looks most like a snow-flake! Very cool.

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  2. Do you choose the speed of spinning randomly and see what will happen or you chose them for a reason? :-)

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    Replies
    1. Speed(n) = k^(n-1), k=±2, ±3, ±4, ....

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