New #Attractor 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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katkip

function u(t) {

t||(a=b=1);for(i=999;i--;)a+=S(b-S(b+t/9+S(a+b)/99)),b+=C(a-C(a+t/99)),x.fillRect(a*800-300,540+b*200,5,5),x.globalAlpha=.1

Feb 14 2019 4:22 PM UTC

}// 123/140

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Blackhole #attractor. Mathematical black hole

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katkip

function u(t) {

t||(a=b=1);for(i=99;i--;)a+=S(b-S(b+t/99)),b+=C(a-C(a)),x.fillRect(a*800-300,540+b*200,5,5),x.globalAlpha=.1

Feb 14 2019 4:19 PM UTC

}// 108/140

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Jellyfish #attractor! The shape of Adrian Bejan's constructal laws, shape of life. 108b #waitforit #slowrender

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rodrigo.siqueira

remix of d/12287 by u/rodrigo.siqueira

function u(t) {

c.width|=X=Y=Z=6;for(i=2e3;i--;)X+=.1*(Y-X),Y+=.01*(X*(29-Z)-Y),
Z+=.01*(X*Y-1.6*Z),x.fillRect(960+X*30+Y*C(t*45)*9,2e3-999*t%2e3-Z*22,8,9)

Feb 13 2019 12:50 AM UTC

}// 139/140

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Lorenz, the Butterfly. #attractor #lorenz

u/joeytwiddle

:-D
u/sigveseb

Haha nice one :)

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rodrigo.siqueira

function u(t) {

c.width|=X=Y=Z=6;for(i=3e3;i--;)
X+=.1*(Y-X),
Y+=.01*(X*(29-Z)-Y),
Z+=.01*(X*Y-1.6*Z),
x.fillRect(960+X*30+Y*C(t*2)*10,1130-Z*22,6,9)

Feb 11 2019 12:26 AM UTC

}// 133/140

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Butterfly effect using Lorenz nonlinear equations with chaotic behavior. #Lorenz #attractor

u/katkip

#cute btw

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rodrigo.siqueira

remix of d/12257 by u/rodrigo.siqueira

function u(t) {

Xp=X=Y=
x.globalAlpha=.3
for(i=2e3;i--;){
X=Y**.4+t/9
Y=-.15*Xp+2.7*Y-Y*Y*Y
Xp=X
x.fillRect(X*850-300,Y*600,1,1)
}

Feb 9 2019 3:51 PM UTC

}// 114/140

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The Bifurcation Map appears again! Here it's a variation of the Duffing map equation. #attractor

u/joeytwiddle

It's going backwards :-O

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rodrigo.siqueira

function u(t) {

Xp=X=Y=t/800
x.globalAlpha=.1
for(i=2e3;i--;){
X=Xp*Xp-Y*Y+.9*Xp-.6013*Y
Y=2*Xp*Y+2*Xp+.5*Y
Xp=X
x.fillRect(1300+X*820,740+Y*400,2,2)
}

Feb 9 2019 3:14 PM UTC

}// 135/140

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Tinkerbell Map is a chaotic #attractor dynamical system, as described in https://en.wikipedia.org/wiki/Tinkerbell_map

u/rodrigo.siqueira

"Origin of the name: the graphical picture shows a similarity to the movement of Tinker Bell over Cinderella Castle, as shown at the beginning of Disney films."
u/katkip

You can replace Xp with p

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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

function u(t) {

X=Y=0
for(c.width|=i=1e3;i--;){
X=X*C(2*t+Y*2)+Y/4
Y=C(X+Y+X+t/3)-S(i+X+t)/3
x.fillRect(960+X*820,540+Y*400,5,5)
}

Feb 4 2019 2:16 AM UTC

}// 114/140

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Interaction of live attractors

u/katkip

WOWWW #attractor AWESOME
u/donbright

WOAH

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rodrigo.siqueira

remix of d/12083 by u/rodrigo.siqueira

function u(t) {

X=Y=t;for(i=3e3;i--;x.fillStyle=`hsl(${C(X)*99+S(Y)*80},20%,50%)`)h=X,x.fillRect(X=950+(S(1*Y)+C(1*X))*440,Y=550+(C(3*h)-S(3*Y))*150,1,1)

Feb 1 2019 8:21 PM UTC

}// 137/140

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The kiss #attractor

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rodrigo.siqueira

remix of d/12078 by u/robbyg

function u(t) {

X=Y=t;for(i=3e3;i--;x.fillStyle=`hsl(${850+C(X+Y)*290},92%,20%)`)h=X,x.fillRect(X=950+(S(3*Y)-C(3*X))*440,Y=550+(S(3*h)-T(3.5*Y))*200,1,1)

Feb 1 2019 8:02 PM UTC

}// 138/140

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Artwork based on @robbyg #attractor rework

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