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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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remix of d/15558 by u/katkip

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  • katkip: if(!t){X=Y=0;p=[];for(i=5;i--;)p.push([960+S(Q=6.28/5*i)*400,540+C(Q)*400])};for(i=999;i--;)x.fillRect(X*1.5,Y*1.5,2,2),X=(X+p[(r=Math.floor(Math.random()*5))][0])/2.5,Y=(Y+p[r][1])/2.5 #chaosgame #fractal
  • rodrigo.siqueira: #uncompressed (139 characters): X=Y=730;p=[];for(i=5;i--;)p[i]=([X+X+X*S(i*5),X+C(i*5.03)*X]);for(i=X;i--;x.fillRect(X,Y,2,2))X=(X+p[r=~~(X*t%5)][0])/2.5,Y=(Y+p[r][1])/2.5
  • katkip: nice

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function u(t) {

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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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  • Blacklink: An animation showing the impact of resolution and loop depth on the quality of a mandelbrot!

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Xen
remix of d/14662 by u/Xen

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  • username: weeeeeeeeeeeeeeeeeeeeeeeeeeeeeell, golfing at all costs?
  • Xen: yes!... EVERY cost! lol

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Xen
remix of d/14647 by u/Xen

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