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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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  • That's how to render a ball surface like a pro

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remix of d/9674 by u/f8f82804

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  • u/donbright
    thats cool... how does it work?
  • u/joeytwiddle
    Very nice! #halftone
  • u/f8f82804
    u/donbright: I used the parameterization from d/5600. I like it a lot because it keeps fairly even density of dots on the surface. It's based on cylindrical coordinates where each point is at a different vertical level and the points spiral around. The key is that not all values of i result in drawing a dot. We drop the back half of the sphere with C(a) >0, but we also implicitly drop points where s*i-i*i is negative
  • u/donbright
    thanks... fascinating...

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remix of d/9676 by u/f8f82804

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remix of d/9674 by u/f8f82804

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  • using ellipse() and lots of trig to draw dots on the surface of a #sphere
  • u/f8f82804
    it takes 154 to center the sphere: for(i=c.width^=0;i--;x.beginPath(x.fill()))C(a=t-i)>0&&x.ellipse(960+(X=(i*960-i*i)**.5*S(a)),60+i,9*C(a)*(1-((b=i-480)/480)**2)**.5,9,Math.atan(b/X),0,7)
  • u/f8f82804
    #d3

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remix of d/9671 by u/f8f82804

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remix of d/5600 by u/p01

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remix of d/2251 by u/donbright

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remix of d/9187 by u/f8f82804

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