Dweets by u/rodrigo.siqueira

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: #Food

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rodrigo.siqueira

remix of d/15559 by u/tomxor

function u(t) {

for(c.width=128,i=576;i-=1/16;x.fillRect(16*X,16*Y,Z,Z))X=i%8,Y=i/128,x.fillStyle=R(i,i/3),Z=1+C(5*S(X+C(Y+X)*C(t)-t))**3/3

Aug 28 2019 11:38 PM UTC

}// 123/140

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Burning flames

u/aleamb

amazing!
u/KilledByAPixel

👍

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rodrigo.siqueira

remix of d/15526 by u/mildlybean

function u(t) {

Z=_=>S((Y*Y+X*X)*S(t))
for(c.width=i=1024;i-=1/8;x.fillRect(48*(X*2+Y*C(t)+11),48*(S(t)*X/2-Y*S(t)+z),1,5))z=6-Z(X=i%8-4,Y=i/128-4)

Aug 26 2019 11:18 PM UTC

}// 131/140

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Rotating sombrero. Remix from @tomxor https://www.dwitter.net/d/15530 , faster, smaller. Now the surface also rotates.

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rodrigo.siqueira

remix of d/15526 by u/mildlybean

function u(t) {

Z=(X,Y)=>S((Y*Y+X*X)/299+t*9)*9
c.width|=0;for(i=-80;++i<80;)for(j=-50;++j<50;x.fillRect(960+i*d+j,540-(j+h)*d,3,3))d=3e3/(410+(h=Z(i,j)))

Aug 26 2019 8:25 PM UTC

}// 138/140

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Sombrero function. Added +j (in fillRect x coordinate) to add perspective. Changed -64/+64 ("for i" and "for j") to other intervals so it can fit the image better and also removed .7* multiplications to get more space for equation.

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rodrigo.siqueira

function u(t) {

η=.1
ℵ=1/t
for(X=-3;X<3;X+=.01){
y=X**3-X*2
ℵ=ℵ-η*(ℵ**3-2*ℵ)
x.fillRect(940+X*400,-y*100+500,5,5)
}
x.fillRect(910+ℵ*400,470,60,60)
throw(ℵ)

Aug 21 2019 1:45 PM UTC

}// 140/140

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Gradient Descent (iterative) algorithm used to calculate sqrt(2). The big dots are the two roots -sqrt(2) and +sqrt(2) of equation Y=X**3-X*2. The Gradient Descent is an optimization algorithm for finding a local minimum of a function near a starting point, taking successive steps in the direction of the negative of the gradient. x[n+1]=x[n]−η(∇f)xn where η is the "Learning Rate". Gradient Descent is widely used for training Machine Learning models. #neural #ai

u/rodrigo.siqueira

Simple version that calculates sqrt(2). If you change initial "x" to -1, it will converge to -sqrt(2), that is the other root of the equation Y=X**3-X*2. Code: x = 1; learning_rate = .1; for(i=0;i<50;i++) { x = x - learning_rate * (x**3 - 2*x) } throw(x);

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rodrigo.siqueira

remix of d/15411 by u/rodrigo.siqueira

function u(t) {

v=(a,b,Φ,r)=>{for(i=0;i++<r;x.globalAlpha=.05)x.fillRect(a-=S(Φ),b-=C(Φ),s=r/42,s)
r>8&&v(a,b,Φ+S(t*i**9)/4,r*=.9)}
v(960,540+300*C(t),t,99)

Aug 20 2019 1:03 AM UTC

}// 140/140

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Dendritic projections

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rodrigo.siqueira

remix of d/14415 by u/rodrigo.siqueira

function u(t) {

x.fillRect(0,0,2e3,2e3)
v=(a,b,Φ,r)=>{for(i=0;i++<r;)x.clearRect(a-=S(Φ),b-=C(Φ),s=r/9,s)
r>8&&v(a,b,Φ+S(t*i**9)/2,r*=.9)}
v(940,1e3,0,99)

Aug 14 2019 1:21 AM UTC

}// 138/140

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Tesla rays #organic

u/KilledByAPixel

Φ

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rodrigo.siqueira

remix of d/15329 by u/tomxor

function u(t) {

for(a=b=0,i=1e4*(t<9);i--;x.fillRect(a*640,b*800-500,1,.1)) 
r=1|Math.random()*3,
a+=(r-a+b*C(b*3))*.5,
b+=(2-a*b+C(b*3))*.25

Aug 13 2019 12:05 PM UTC

}// 125/140

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Chaos Photographer, Pic 1, Remix 1 #spiral

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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

function u(t) {

for(c.width=w=i=2e3;i--;)
X=S(i*i),Y=S(i),ℵ=C(Math.atan2(X,Y)-t)*Math.hypot(X,Y),
K=w/2,x.fillRect(w*ℵ/(Z=4+C(t)+X*X-Y*Y)+K,w+K*(ℵ-6)/Z,7,8)

Jun 26 2019 7:01 PM UTC

}// 140/140

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The Hyperbolic Paraboloid (z=x²-y²). The S(i*i) and S(i) are random number generators between -1 and +1. The atan2 and hypot are used to calculate 3d object rotation (Euler equations could also be used, as seen on /d/12086). Thanks to u/cantelope for the Tiny 3D Engine Tutorials: https://cantelope.org/tiny_3D/ and https://cantelope.org/3D/ #math #hypot #D3 #hyperbolic #surface

u/cantelope

:D
u/rodrigo.siqueira

There is an interesting fact that the Pringles potato chips are a truncated hyperbolic paraboloid. The strength of the shape helps to prevent them from breaking while stacked. The curvature of the shape improves resistance to tension and compression forces. Remember this next time you eat a hyperbolic paraboloid.

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rodrigo.siqueira

remix of d/13412 by u/rodrigo.siqueira

function u(t) {

if(t<1)with(x)fillStyle=R(9,20,70),fillRect(0,0,42,99),rotate(Math.PI*.8),translate(-420,-800),drawImage(c,0,0,1e3,1e3),translate(-920,-450)

Jun 23 2019 10:23 PM UTC

}// 140/140

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Blue Starfield - color version

u/donbright

rodrigo you are a legend. if you wrote a book i would buy it

dwitter.net | rodrigo.siqueira (18284)