Why can't you just be normal #sierpinsk… by pavel

function u(t) {

c.width=1920 // clear the canvas
for(i=0;i<9;i++)
x.fillRect(400+i*100+S(t)*300,400,50,200) // draw 50x200 rects

} // 122/140

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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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pavel

function u(t) {

c.width|=f=(X,Y,r=Y,i=r>9&&3)=>{for(x.fillRect(X,Y,s=r<10&&12,s);i--;)f(X+r/2*C(a=23*i+t*C(i)),Y+r/2*S(a),r/2)}
f(960,540)

Mar 27 2020 6:17 AM UTC

}// 122/140

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Why can't you just be normal #sierpinski ?

Show more comments…
u/pavel

I have no idea why this works. I was messing around with something else and then a sierpinski triangle popped out and started spinning around...
u/xem

love the explanation ^ :D
u/katkip

nice
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()


      u(t) is called 60 times per second.
      t: elapsed time in seconds.
      c: A 1920x1080 canvas.
      x: A 2D context for that canvas.
      S: Math.sin
      C: Math.cos
      T: Math.tan
      R: Generates rgba-strings, ex.: R(255, 255, 255, 0.5)

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