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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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  • u/pavel
    If you take every point on this picture, turn it into z=x+i*y and feed it through (sqrt(3)+z)/(1+sqrt(3)*z) then decode the resulting complex number as (x', y') and put a point there, you will get d/17063.
  • u/pavel
    Of course you can't take infinitely many points so you will get a pixelated version. To get a proper version you need to solve the equation for the new, mapped, circle given the old circle so that you can use x.arc..

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  • Vertex sphere

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remix of d/14376 by u/pavel

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  • Galaxy
  • u/pavel
    300 bodies which individually only interact with an infinite mass at the center
  • u/pavel
    Each body moves around an ellipse, the orbits are accurate. However, the movement speed is a very rough approximation.
  • u/pavel
    Naively drawing an ellipse centers it around one of the focal points, however moving a body on this path slows the body down near this focal point and speeds it up near the other one.
  • u/pavel
    The opposite effect is needed. So this code still moves a body around an ellipse but it re-centers the ellipse on the 'other' focal point.
  • u/pavel
    In polar coordinates the difference between the x and y coordinates is a phase shift of pi/2 ~ 1.6

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  • u/pavel
    Funky start due to lack of chars but quickly settles. Imagine a black hole in the middle.

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  • IFS #julia attractor for c=i. Play with adding different constants to a and b in the Math.hypot call

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remix of d/11463 by u/cantelope

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  • u/pavel
    Messing around with setTransform

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remix of d/10477 by u/pavel

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