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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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remix of d/13495 by u/pavel

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  • u/13thptr
    awesome, looks like the ball escapes without breaking everything after a while though. will read the explanation more thoroughly.
  • u/pavel
    No chars left for bounds checks! It freaks out with negative positions. If I find a way to shorten I will add bounds.
  • u/ersagun
    I need to read and reread that explanation on a loop until I get this. This is incredible.
  • u/Qwitter
    Just wow.

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remix of d/18153 by u/Kirjava

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  • u/pavel
    This is a breadth-first traversal of a binary tree, one frame at a time. The tree is maintained in a 1D array (2n+i notation) that I simply iterate left-to-right. The loop does double-duty for drawing the current node and inserting the children. The shape has four corners so the loop runs four times and inserts four children: 2n+0, 2n+1, 2n+2, 2n+3. My mind was blown when I realized no extra code was needed to prevent the adding of the extra children because the first two children of the next iteration will overwrite them!
  • u/joeytwiddle
    #broccoli
  • u/katkip
    interesting
  • u/pavel
    https://i.imgur.com/FZ9Whj4.png

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  • Flare

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  • I would love to find a better / shorter 1D noise function #challenge
  • u/pavel
    This one assigns a 'random' number to each integer k via S(k*k) and uses smoothstep to interpolate between them.
  • u/pavel
    Another idea to play around with f=(i,n=9)=>n&&C(n**.5*i)/n+f(i,n-1)
  • u/joeytwiddle
    #random

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remix of d/18074 by u/pavel

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  • u/pavel
    I think I figured it out. If you set s=12 the structure becomes more apparent. +t*C(i) doing SO MUCH WORK is an amazing accidental find.
  • u/pavel
    This certainly looks like a 2d projection of something 3d, how to get the depth information?
  • u/pavel
    The trick is to rng three 2d vertices and smoothly vary them. Every combination uniquely maps to a valid 2d projection of a 3d plane so our brains infer the 3d shape.
  • u/pavel
    for(c.width|=i=3;i--;x.lineTo(960+500*S(i*t),540+500*S(i+t)));x.fill()

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