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u(t) is called 60 times per second. t: Elapsed time in seconds. S: Shorthand for Math.sin. C: Shorthand for Math.cos. T: Shorthand for Math.tan. R: Function that generates rgba-strings, usage ex.: R(255, 255, 255, 0.5) c: A 1920x1080 canvas. x: A 2D context for that canvas.
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  • u/pavel
    I believe this generates all valid spirographs, at least the circle with a small pencil hole rolling in a circle ones.
  • u/pavel
    The incremental drawing is not parameter aware so at the extremes its too slow / too fast and choppy
  • u/pavel
    I was gonna improve this by using the period of a spirograph but gave up deriving it.
  • u/pavel
    I think the period is the denominator of 1-1/m expressed as an irreducible fraction.

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  • Extended Euclidean algorithm, to find h, k such that hX+kY=gcd(X,Y) #math #numbertheory

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  • Random Spirographic Doodles V2
  • u/KilledByAPixel
    These are unfinished spirographs with random parameters. I switched to using rect instead of lines and made other changes to help with performance. Also I added smooth scrolling (or smooth as possible given the framerate)

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  • Strange Grating

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remix of d/14840 by u/pavel

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Xen
remix of d/14840 by u/pavel

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  • shimmer v.s.

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Xen
remix of d/14849 by u/username

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  • fun tweak

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  • quick test

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