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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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  • From 1872, Weierstrass's first example of a continuous but nowhere-differentiable function.

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  • playing with isometric coordinates

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  • [Team dweet with u/PeCaN] L-system visualizer! Change initial state (s), #iterations (i), transition rules (['0-1+0+1-0',11]), which digits correspond to 'draw and move forward' (c<2), angle (120) to your own L-system ruleset. Digits 0-9 correspond to variables/constants (for each constant, add a rule that maps it to itself, i.e. to 'i').
  • u/5Mixer
    Ha awesome! I was surprised when I saw this, I'd seen it on the internet before and was idly scribbling on the back of my book in a boring class today. Dope stuff :D

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