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.

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

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rodrigo.siqueira

remix of d/13119 by u/rodrigo.siqueira

function u(t) {

c.width+=X=Y=Z=d=.04
for(i=6e3;i--;)X+=-d*(Y+Z),
Y+=d*(X+.2*Y),
Z+=d*(.2+Z*(X-5)),
x.lineTo(980+80*(X*C(t)-Y*S(t)),800-Z*48+Y*19)
x.stroke()

Jan 12 2020 12:43 AM UTC

}// 140/140

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Turning Rössler Strange Attractor, a system of three non-linear ordinary differential equations with chaotic dynamics and fractal properties. Some people see this turning clockwise, some see counterclockwise due to the bistable optical illusion (search "Spinning Dancer" for explanation). #attractor #illusion

u/rodrigo.siqueira

The rotation effect trick X*C(t)-Y*S(t) was "borrowed" by Frank Force KilledByAPixel's #Lorenz Attractor: from https://www.dwitter.net/d/14752

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katkip

function u(t) {

t||(s=a=b=0);for(i=99;i--;)x.fillRect(360+a*20*5+t*90,140+b*20*5,2,2),b+=S(a+b*a/999+S(t)),a+=C(b+5)

Oct 13 2019 8:13 PM UTC

}// 100/140

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Wormholes #chaos #attractor

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rodrigo.siqueira

remix of d/12319 by u/rodrigo.siqueira

function u(t) {

c.width|=X=Y=Z=1
for(i=3e3;i--;x.fillRect(500*(t%6.2-i%3-X*C(t*9)/33),800-i%3*90-(1.3+S(t))*Z*6,5,5))Z+=(X*Y-Z)/39,X+=(Y-X)/9,Y+=X*(27-Z)/97

Sep 2 2019 2:05 PM UTC

}// 140/140

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Three Lorenz Butterflies #lorenz #attractor #butterfly

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KilledByAPixel

remix of d/14997 by u/KilledByAPixel

function u(t) {

eval(unescape(escape`𨰮𭱩𩁴𪁼👆👦𭑮𨱴𪑯𫠨𦀬𦐬𦠩𮱴𪁩𬰮𡠽𭀽🡸𛡦𪑬𫁒𩑣𭀨𞐶𜀫𦀪𝀳𛀱𩐳𛑚𚠲𜀬𞐬𞐬𦀫🐨𦐭𦀩𛰹𛁙𚰽𚁘𚠨𜠸𛑚𚐭𦐩𛰹𞐬𦠫👘𚡙𛰹𞐭𦠯𝐰𚑽𞱦𫱲𚁩👴🰰𞠨𠐽𦱝𛀲𜀴𞀩𞱩𛐭𞰩𠑛𪑝👮𩑷𘁆𚁩𙐶𝀯𜐹𛀱𛀨𪐾🠶𚐯𞐩𞱦𫱲𚁡𘁯𩠠𠐩𨐮𡠨𭀯𜰩`.replace(/u../g,'')))

Jul 15 2019 7:31 PM UTC

}// 140/140

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Throwing a square into a #lorenz attractor

u/magna

Yes!
u/Xen

nice
u/aleamb

wow!!
u/katkip

Awesome #compressed #attractor

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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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KilledByAPixel

remix of d/14726 by u/KilledByAPixel

function u(t) {

c.width|=X=Y=Z=1
for(i=2e3;i--;x.lineTo(960+(X*C(t)-Y*S(t))*43,1160-Z*23))Z+=(X*Y-Z)/39,X+=(Y-X)/11,Y+=X*(27-Z)/96
x.lineWidth=9
x.stroke()

Jun 25 2019 3:04 PM UTC

}// 139/140

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3D #Lorenz Attractor 2

u/aleamb

#d3 #attractor
u/katkip

what is that rotation? clockwise or counter clockwise #illusion
u/katkip

not really 3D. the perspective is the save everywhere
u/katkip

it is 3D because the attractor is in space, but there is no perspective effect

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rodrigo.siqueira

remix of d/12640 by u/rodrigo.siqueira

function u(t) {

if(!t){X=Y=Z=1;for(i=2.3e5;i--;x.fillStyle=R(i/270,i/1e3,Z*2))Z+=(X*Y-Z)/59.1,X+=(Y-X)/11,Y+=X*(28-Z)/99,x.fillRect(960+X*48,1200-Z*24,3,4)}

Jun 23 2019 1:01 AM UTC

}// 140/140

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Lorenz Attractor in color - this will be printed and framed. #lorenz #attractor

u/katkip

you really like #chaos math and attractors
u/taupelink

With good reason, I think :) They are beautiful and, well, strange
u/KilledByAPixel

You should frame the code along with the image ;) Awesome work.
u/rodrigo.siqueira

The prints are ready! Yes, source code is printed with images. https://twitter.com/rsiqueira/status/1143629…

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rodrigo.siqueira

remix of d/14666 by u/rodrigo.siqueira

function u(t) {

c.width|=0
var i=X=Y=S(t)**2+100*(1+2*t%1)
for(var i=2e4;--i;x.fillRect(940+99*S(t*8)*(1-Y/200)+X-Y,300+(Y+X)*1.1,3,3))
X=45-Y+Math.abs(Y=X)

Jun 18 2019 8:53 PM UTC

}// 140/140

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Dancing Gingerbread Man #attractor #gingerbreadman

u/katkip

that's a weird hyperdimensional dude dance

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rodrigo.siqueira

remix of d/14643 by u/rodrigo.siqueira

function u(t) {

var i=A=a=b=1+t*1.3,s=110
for(i=2e4;--i;)x.fillStyle=R(-a*15*(K=t%2),-a*4*K),x.fillRect(1680+a*s,s+b*s,1,1),a=1-b+Math.abs(a)/2,b=A,A=a

Jun 18 2019 11:38 AM UTC

}// 135/140

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Ornament details from the Gingerbreadman #attractor #gingerbreadman

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rodrigo.siqueira

remix of d/14643 by u/rodrigo.siqueira

function u(t) {

if(t<1.1){A=Z=a=b=-5+t*4;s=35
for(i=1e4;--i;)x.fillStyle=`hsl(${a/t},50%,40%`,x.fillRect(850+a*s,410+b*s,1,1),a=1-b+Math.abs(a)/1.2,b=A,A=a}

Jun 18 2019 1:01 AM UTC

}// 140/140

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Gingerbreadman with ornamental borders #attractor #gingerbreadman

u/joeytwiddle

Gingerbread man hiding inside a psychedelic tooth

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