The Gingerbread Man #attractor from dyn… by rodrigo.siqueira

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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rodrigo.siqueira

remix of d/14639 by u/rodrigo.siqueira

function u(t) {

if(t<2){A=Z=a=b=-.1+t/15;s=90
for(i=1e4;--i;)x.fillStyle=R(a*50,b*30,S(b)*s),x.fillRect(800+a*s,310+b*s,.7,.6),
a=1-b+Math.abs(a),
b=A,A=a}

Jun 17 2019 1:59 PM UTC

}// 139/140

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The Gingerbread Man #attractor from dynamical systems theory. "The Gingerbreadman Map is chaotic in the filled region and stable in the six hexagonal regions."

u/katkip

#chaos
u/rodrigo.siqueira

"Even the simplest mathe-matical expressions, when interpreted as dynamical systems, yield fractals." (Robert L. Devaney) #gingerbreadman


      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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