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"Plane Deformations" is a small interactive software program I made during 2006 to use in several of my presentations about "playing" and making art
with mathematics. It's a very simple program to use, yet very instructive I believe. It shows how to play with formulas to get cool dynamic image deformations.
As a first experience, users go into a more or less random process of experimentation with formulas. Slowly, one starts to adquire certain intuition of what is
going on with the maths behind. Finally, you get full control over what he sees on the screen. At that moment, you probably understand what a discontinuity,
zero, pole, asymptote, or polar angle is. Later one can learn to use square roots to tune colors, or tweak the image contrast. Cosinus are always a good friend too
when it comes to make wave deformations. (What an interesting teaching tool!) In any case, it worths a download just for the fun of playing few minutes. Click on the image on the right, or here, to download the application. Below there is a quick presentation of what "Plane Deformations" is about. You will have to download the software anyway to see all those nice images moving on your computer! |
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With very simple formulas we can get very nice plane deformations...
Fórmulas muy sencillas pueden dar lugar a deformaciones muy divertidas...
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...and when visualized thru a texture, they can even look great.
...y visualizadas a través de una textura, pueden quedar muy vistosas.
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Now add the “time” factor and let the texture move over the deformation lines. Añadimos el factor “tiempo”, y la textura se desplazará por las lineas de deformación. |
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Finally, adding feedback to the process can add lot of visual details.
Por último, cierta realimentación de la imagen puede aportar mucha variedad a la visualización.
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