New #Bifurcation dweets

function u(t) {

c.width=1920 // clear the canvas
for(i=0;i<9;i++)
x.fillRect(400+i*100+S(t)*300,400,50,200) // draw 50x200 rects

} // 122/140

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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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rodrigo.siqueira

remix of d/12434 by u/katkip

function u(t) {

t||(a=b=0)
for(i=2e3;i--;)x.fillRect(960+b*C(a),540+b*S(a),1,1),a+=1.8*C(2.6*a)+C(t/4+.009),b+=.002

Feb 20 2019 9:24 PM UTC

}// 99/140

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The Flower of Bifurcation #bifurcation

u/katkip

this is #cute #math

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katkip

function u(t) {

t||(a=0,b=1);for(i=999;i--;)x.fillRect(960+b*C(a),540+b*S(a),5,5),a+=C(a*b/99),b+=.01

Feb 20 2019 5:22 PM UTC

}// 85/140

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Bifurcation diagram in one radial line. #bifurcation

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rodrigo.siqueira

remix of d/12129 by u/rodrigo.siqueira

function u(t) {

c.width^=Y=0
for(X=2e3;X--;)
 Y=C(Y+t)*X/450,
 x.fillRect(X,540+Y*120,5,5)

Feb 4 2019 2:12 PM UTC

}// 74/140

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A very small bifurcation equation. #attractor

u/rodrigo.siqueira

Animated #bifurcation

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rodrigo.siqueira

remix of d/12018 by u/rodrigo.siqueira

function u(t) {

a=b=t;s=2e3;x.globalAlpha=.2;for(i=s;--i;)x.fillStyle=R(a*i,9,i*b/6),
x.fillRect(1100+a*s,b*s,2,2),a=.2+.1*S(2*b)+C(2*a),b=S(a/5)+C(b)*t/12

Jan 31 2019 6:44 PM UTC

}// 139/140

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Bifurcation over chaotic maps. Feigenbaum constant may hide somewhere. #fractal

u/rodrigo.siqueira

#bifurcation

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rodrigo.siqueira

remix of d/12001 by u/thorbear

function u(t) {

X=t/6;Y=2;s=999;x.globalAlpha=.05;for(i=3e3;i--;)
Y=1.66-2*(.1*X-S(1.2*Y)),
x.fillRect(X*s,Y*s-700,3,3)

Jan 31 2019 2:25 PM UTC

}// 103/140

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Bifurcation diagram attractor of the logistic map. xₙ₊₁ = r * xₙ(1-xₙ). Bifurcation diagrams enable the visualization of bifurcation theory. #fractal

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hamptonio

function u(t) {

r=Math.random;for(j=0;j<100;j++){y=r();L=2+2*r();for(i=0;i<1000;i++){y=y*L*(1-y);};
x.fillRect((L-2)*960,y*1000,1,1)}

Feb 24 2017 7:36 PM UTC

}// 117/140

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u/iverjo

Explanation please? I feel like I've seen this kind of thing before, and the first thing that comes to mind is "edge of chaos"
u/hamptonio

Its the bifurcation diagram of the logistic map: https://en.wikipedia.org/wiki/Bifurcation_di…
u/donbright

iverjo: bifurcation diagram
u/rodrigo.siqueira

#bifurcation

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