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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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  • Conformal mapping of a grid (1/z), all intersections are at right angles

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  • Experimenting with #raytracing. I finally figured out why the cosine trick from d/1112 works.

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  • Is this ok?

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remix of d/18322 by u/pavel

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  • #julia set for c = −0.8 + 0.156i

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  • (X=-0.7453, Y=0.1127, R=6.5e-4) section of the #mandelbrot set
  • u/pavel
    This version draws 1x3 pixels to speed up rendering. for(let i=2e3,f=(x,n=420,a=0,b=0)=>a*a+b*b<n?f(x,n-1,a*a-b*b+x,2*a*b+.1133-t/13845):n/420;i--;)x.fillRect(i,60*t,s=f(i/8e5-.7467),s) looks better in fullscreen but is 3x as slow.
  • u/pavel
    let and the automatic scoping of args in f makes this _really_ quick. I can increase the loop to 4e3 iterations and still have 60fps on my machine. Would be interesting to speed this up by rendering multiple rows per frame.
  • u/katkip
    all dweets made by u/pavel are genius
  • u/Xen
    godlike!
  • u/Qwitter
    agreed !!!!

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remix of d/12336 by u/pavel

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  • u/pavel
    This version is also #improved with a #grow effect and a cap on how dark the image gets if you leave it for a while.
  • u/Xen
    nice!

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remix of d/13495 by u/pavel

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  • Show more comments…
  • 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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