As with 1857 this is an attempt to show… by donbright

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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donbright

remix of d/1857 by u/donbright

function u(t) {

w=128,c.width=2*w;for(i=w;i--;)for(j=w;j--;)c=S(t/3)*i*i+S(t/4)*j*j+S(t/5)*2*i*j,c=(c%w+w)%w,x.fillStyle=R(c,c,c),x.fillRect(64+i,8+j,1,1)

Mar 4 2017 8:07 AM UTC

}// 139/140

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As with 1857 this is an attempt to show the relation between Binary Quadratic Forms and the Circles and Squares pseudo fractal and Moiré pattern. This takes the basic ingredients of the Quadratic Form, x*x, y*y, and 2*x*y, and mixes them together, but slowly varies the amount of each ingredient over time with the Sine function. It is possible to see how all variations of the Quadratic Form result in similar patterns, transitioning from crcles to ovals to hyperbola patterns. Inspiration from this site and NJ Wildberger's rational geometr, Paul Bourke's http://paulbourke.net/fractals/circlesquares/ and Santiago Zubeta

u/donbright

https://twitter.com/zubie7a
u/SpecialAgent

wow! fascinating and purty :)


      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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