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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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  • bottom wave = sum of other two waves

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  • As part of #circlechallenge I go back to the old rational parametrization of the circle from Wildberger's "chromogeometry", which has elements of Euclid. Each frame draws rational points on a circle, and each frame the radius gets bigger. All of the patterns are a kind of optical illusion.
  • u/donbright
    changing '2' and '3' to different numbers will give different patterns

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  • Prime fun 3 / 3 - when X is less than Y, then X modulo Y gives X, so we see the normal vertical prime stripes, white shows X is a prime. not sure about the rest, there seems to be a large white line around the line where X equals Y, #math #primes

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  • Prime fun 2 / 3 - Normally X binary XOR with Y produces a single white line, but if we only draw black when X XOR Y is a prime number, then we get a pattern. #math #primes

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  • Prime fun 1 / 3 - This is the standard X&Y (binary AND) Sierpinski triangle picture but only where X & Y is a prime number. perhaps revealing a relationship between primes and binary AND #math #primes

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  • nothing fancy just some dancing modulo

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