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.

Try the new frontend: beta.dwitter.net
Current theme challenge: #Opposites

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rodrigo.siqueira

remix of d/17516 by u/rodrigo.siqueira

function u(t) {

c.style='filter:invert(1'
for(a=b=0,i=1e4;i--;x.fillStyle=R(0,b*199,i/50),x.fillRect(a*600+960,b*490+540,.2,1))a=b*C(a*3),b=S(i/99+t)

Feb 8 2020 6:00 PM UTC

}// 133/140

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Color #bifurcation symmetry

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rodrigo.siqueira

remix of d/17508 by u/rodrigo.siqueira

function u(t) {

c.style='filter:invert(1'
for(X=Y=i=1e4*(t<6);i--;x.fillRect(960+900*X,560+300*Y,.1,1)){if(i%99==0)X=S(t*i**8)
Y=S(X)*+C(Y*2.4)*1.4}

Feb 8 2020 12:38 AM UTC

}// 132/140

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Link of Symmetry #bifurcation (Period-halving bifurcations leading to order, followed by period doubling bifurcations leading to chaos)

u/Xen

love it!

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rodrigo.siqueira

remix of d/12440 by u/rodrigo.siqueira

function u(t) {

t||(a=b=0)
for(i=5e3;i--;)x.fillStyle=R(C(a)*200,S(a)*b/3,t*42),x.fillRect(960+b*S(a*.8),540-b*C(a*.8),1,1),a+=1.9*C(2.5*a)+C(t/5),b+=.00076

Jul 7 2019 9:15 PM UTC

}// 140/140

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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

u/taupelink

This is a great tribute. RIP.
u/donbright

really nice
u/artfarnaa

Rodrigo - are you working full time on this fractal stuff? Super impressive if its only a hobby. Great work.
u/rodrigo.siqueira

#tribute

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rodrigo.siqueira

remix of d/12132 by u/rodrigo.siqueira

function u(t) {

!t&&(X=x.globalAlpha=.4)
if(t<18)for(i=2e3;i--;)X=S(X)*i/500+t/1e4,x.fillRect(X*230+960,C(i/290)*500+540,1,1)

May 26 2019 9:08 PM UTC

}// 109/140

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Double mountains of bifurcation #attractor #bifurcation

u/joeytwiddle

I see ovaries and endless cell division
u/katkip

yuummyyy
u/katkip

why did i said that
u/joeytwiddle

do you like eggs?

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camel_case

function u(t) {

l={}
p=0.01
r+=0.007
for(i=0; i<50; i++){
p+=r*p*(1-p)
l[i%h]=p
for(j=0; j<h; j++){x.fillRect(t*120, 1080-l[j]*540, 2, 2)}
}
}
var r=0,h=6
{

Mar 14 2019 5:50 PM UTC

}// 140/140

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Logistics map with some bifurcation, still trying to figure out how to make it look pretty tho

u/artfarnaa

Nice, though I suggest provide a link to background info on what a logistics map is and what bifurcation does. We newbies need just a tad of hand holding.
u/rodrigo.siqueira

#bifurcation

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rodrigo.siqueira

remix of d/12469 by u/rodrigo.siqueira

function u(t) {

t||(a=b=0)
if(t<6)for(i=4e3;i--;)x.fillStyle=`hsl(9,45%,${S(t*4)*50}%,30%)`,x.fillRect(960+b*S(a),540+b*C(a),1,1),a+=2*C(2.7*a)-t/8,b+=.0003

Feb 22 2019 2:30 PM UTC

}// 140/140

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Mandala #bifurcation

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rodrigo.siqueira

remix of d/12467 by u/rodrigo.siqueira

function u(t) {

t||(a=b=0)
for(i=3e3;i--;)x.fillStyle=`hsl(9,45%,${S(t*4)*50}%)`,x.fillRect(960+b*C(a)+(a&1?b:-b),540+b*S(a),1,2),a+=2*C(2.6*a)-t/2,b+=.001

Feb 22 2019 1:39 PM UTC

}// 139/140

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Symmetric bifurcations. The symmetry trick is ...+(a&1?b:-b), this will sometimes add a value ("b") and sometimes subtract. #bifurcation

u/iverjo

#scary #eyes
u/donbright

rodrigo these are amazing

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rodrigo.siqueira

remix of d/12452 by u/rodrigo.siqueira

function u(t) {

t||(a=b=0)
if(t<2)for(i=4e3;i--;)x.fillStyle=`hsl(9,45%,${S(t*4)*50}%)`,x.fillRect(960+b*S(a),1e3-b*C(a)-b,1,1),a+=2*C(2.6*a)-t/2,b+=.001

Feb 22 2019 1:31 PM UTC

}// 137/140

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Bifurcation circle #bifurcation

u/rep_movsd

Balloon + gondola

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rodrigo.siqueira

remix of d/12440 by u/rodrigo.siqueira

function u(t) {

t||(a=b=0)
for(i=5e3;i--;)x.fillStyle=`hsl(9,45%,${S(t*4)*50}%)`,x.fillRect(960+b*S(a*1.5),540-b*C(a*2),1,2),a+=1.8*C(2.6*a)+C(t/4),b+=.001

Feb 21 2019 2:18 PM UTC

}// 139/140

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Emergent eagle from bifurcation. Using Katip's Attractor. #chaos, #bifurcation

u/katkip

This is so beautiful!!! #art
u/donbright

this is remarkable. #tshirt

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rodrigo.siqueira

remix of d/12434 by u/katkip

function u(t) {

t||(a=b=0)
for(i=8000;i--;)x.fillRect(560+b*C(a),540+b*S(a),1,1),a+=.847*C(t+5*a)+C(t),b+=.002

Feb 20 2019 9:25 PM UTC

}// 94/140

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The Eye of Bifurcation #bifurcation

u/geb

All I see is the number triangle https://www.dwitter.net/d/10794

dwitter.net | #bifurcation