dwitter.net | donbright (891)

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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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remix of d/479 by u/lionleaf

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  • A transition from x*x+y*y (the Blue geometry, circles) to x*x-y*y (the Red geometry, hyperbolas). This shows a linkage between Binary Quadratic Forms and the Circles and Squares pseudo Fractal / Moiré pattern. By transitioning between two different Binary Quadratic Forms slowly, I hoped to show that the forms themselves are what form these patterns, not simply circles or hyperbolas or trig functions. Inspiration from many dweets on this site and Wildberger's Chromogeometry.
  • u/donbright
    Binary Quadratic Forms are where you take any combination of x*x, y*y, and 2*x*y, for example 3*x*x+2*y*y (an ellipse), of x*x-y*y/2 (a squished hyperbola)

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  • a nice clean and simple Sierpinski gasket using XOR + AND
  • u/donbright
    you can increase w to get a bigger pic but it becomes slow

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  • snowflakes

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  • Show more comments…
  • u/hoppla1232
    Sir Moire apprecetiates this
  • u/Freak
    This is like one of those nightmares I have where everything keeps on getting faster and it scares me and I love it
  • u/joeytwiddle
    This is for me the definitive dwitter dweet #spiral
  • u/geb
    #background

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remix of d/1232 by u/iverjo

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  • u/iverjo
    Nice :) Better colors than mine
  • u/iverjo
    By saving golfing 2 characters I managed to make the twister bigger:
  • u/iverjo
    c.width=a=2e3;for(i=2*a;i--;)p=S(t)*i/a+i%4/.637,d=C(p)-S(p),d>0&&x.fillRect(a/2+199*(S(p)+S(t)),i/4,199*d,1/(d+1)),x.fillStyle=R(i/9,d*a/8)
  • u/iverjo
    A little more movement: c.width=a=2e3;for(i=2*a;i--;)d=C(p=S(t)*i/a+i%4/.637)-S(p),d>0&&x.fillRect(a/2+199*S(p)+399*C(t),i/4,199*d,1/(d+1)),x.fillStyle=R(i/9,d*a/8)
  • u/donbright
    wow that is awesome!!! i really do miss how yours spins all the way around.
  • u/donbright
    #twister

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  • free speech flag! tested ok on firefox/chrome, fonts may disturb other browsers

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remix of d/1283 by u/sfz

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  • Basic Unicode Chinese Character block 4E00–9FFF, (this is not all Chinese characters!). Progress bar on the left.

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remix of d/1055 by u/paberr

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  • stalemate!

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remix of d/869 by u/maysick

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  • just adding color to @maysick 's beautiful spiral

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