A look at Harmonic Resonance found in Polar Equations
concepts & techniques
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The examples on this page are derived from rather simple polar equations, such as Rose Curves and Cardioids. I’m simply graphing polar equations.
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Stroke-dasharray and stroke-dashoffset are SVG properties that are incredibly fun to play with. They let you control and animate gaps along a given stroke path. I noticed that certain specific combinations of these properties appear to resonate into rather spectacular patterns that look surprisingly different from a plainly drawn curve. I re-implemented this in the Processing programming language in order to create frame-stable exportable renders.
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Interpolation (aka Tweening aka Lerping) of the coordinates with their former selves (where they stood last frame) creates some very fluid animations that further distance their appearance from a plain old polar curve.
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Noise. A bit of controlled randomness makes everything appear more organic.
close-ups
set to music
## stills