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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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  • 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

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  • Show more comments…
  • u/FireFly
    I would love an explanation or pointer about the maths going on here… in particular I don't understand why the 1.56 constant for the b= is so sensitive. It looks like an approximation of π/2, but all of π/2, 1.57 and 1.5 behave vastly differently/more chaotically. So what's the relationship between these numbers/how is 1.56 derived?
  • u/tapgiles
    What the... @.@ Looks so detailed!
  • u/joeytwiddle
    Some other constants with similar behaviour: 1.17, 2.34, 3.12, 3.51, 3.90, 4.68, 6.24
  • u/joeytwiddle
    And a few with different behaviour: 3.08, 6.05 (!), 6.35

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dh7

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  • u/iverjo
    Nice halftone smoke. This technique deserves more attention, in my opinion

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  • Dislocation #4

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  • fake perlin noise

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remix of d/1844 by u/sfacci

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  • Turns out you can’t fit Breakout into 140b :D

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