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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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  • jaemiejaemie: demonstration of basic fourier curves (square/saw)

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  • jylikangas: Tourists visiting the Great Pyramid of Math

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  • aleamb: Shorter version: c.width=512;b=136;h=60;for(a=b*b;a--;)m=a%b-h,y=a/b-h,e=0.7*y,x.fillRect(m+e+100,S(t)*b*Math.exp(-1e-3*(y*y+m*m))+e+150,1,1)

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  • rodrigo.siqueira: Feigenbaum Flower. Homage to Mitchell Feigenbaum (1944-2019). He demonstrated the universal character of dynamical non-linear systems, which has made possible the systematic study of chaos. In 1975, using the small HP-65 calculator, he discovered that the ratio of successive distances between bifurcation events tends to a constant δ ≈ 4.66920... This "ratio of convergence" of period-doubling bifurcations is now known as the first Feigenbaum constant. #bifurcation #attractor #fractal #chaos #math
  • taupelink: This is a great tribute. RIP.
  • donbright: really nice
  • artfarnaa: Rodrigo - are you working full time on this fractal stuff? Super impressive if its only a hobby. Great work.

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  • donbright: This shows the pattern traced by a line directly between the Earth and Venus as they orbit the sun. This pattern is pretty ancient, for example discussed in the book Quadrivum about the old academic relationships between art and science. This type of pattern may be helpful to appreciate the concept of Orbital Resonance in a planetary system.

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