Hot dweets by u/donbright

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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donbright

function u(t) {

c.width=2e3
Y=(a,b)=>a+50*S(i/b+t)
F=(i,j)=>x.fillRect(i,j,4,4)
for(i=2e3;i--;){
F(i,j=Y(340,100))
F(i,k=Y(540,150))
F(i,j+k-140)
}

May 19 2023 3:31 AM UTC

}// 131/140

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bottom wave = sum of other two waves

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donbright

function u(t) {

w=(c.width=999)/2
for(i=-t;i<t;i+=.1)for(j=-t;j<t;j+=.1){
B=1+i*i+j*j
X=S(t)*i/B
Y=j/B
Z=(B-2)/B/2
x.fillRect(w+(X+Y+Z)*w,w+(Y-Z-X)*w,2,2)}

Nov 8 2021 6:45 AM UTC

}// 139/140

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stereographic projection of the plane (in this case, a 0.1 grid to infinity) onto the sphere. aka Moebius Transformation. see also https://hyrodium.tumblr.com/post/13708635481… and https://en.wikipedia.org/wiki/Stereographic_…

u/donbright

#math #stereographic

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donbright

function u(t) {

限=199
for(m=-限;m<限;m+=(2+t))for(n=-限;n<限;n+=(3+t)){
g=2*m*n
b=m*m+n*n
r=m*m-n*n
x.fillRect(1920/2+frame*g/b,1080/2+frame*r/b,1,1)}

Nov 2 2021 3:12 PM UTC

}// 130/140

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As part of #circlechallenge I go back to the old rational parametrization of the circle from Wildberger's "chromogeometry", which has elements of Euclid. Each frame draws rational points on a circle, and each frame the radius gets bigger. All of the patterns are a kind of optical illusion.

u/donbright

changing '2' and '3' to different numbers will give different patterns

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donbright

remix of d/23883 by u/donbright

function u(t) {

質=(n)=>{for(j=2;j<n;j++){if (n%j==0)return n}return 0}
格=7
for(X=299;X--;)
for(Y=299;Y--;)
if (質(X^Y)) x.fillRect(格*X,格*Y,格,格)

Sep 19 2021 5:48 PM UTC

}// 126/140

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Prime fun 2 / 3 - Normally X binary XOR with Y produces a single white line, but if we only draw black when X XOR Y is a prime number, then we get a pattern. #math #primes

u/donbright

(note i have flipped black/white in my caption, actually its drawing black when the number is not prime)
u/rep_movsd

Fascinating
u/Joachim

#circuit

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donbright

function u(t) {

質=(n)=>{for(j=2;j<n;j++){if (n%j==0)return n}return 0}
格=7
for(X=299;X--;)
for(Y=299;Y--;)
if (質(X&Y)) x.fillRect(格*X,格*Y,格,格)

Sep 19 2021 5:40 PM UTC

}// 128/140

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Prime fun 1 / 3 - This is the standard X&Y (binary AND) Sierpinski triangle picture but only where X & Y is a prime number. perhaps revealing a relationship between primes and binary AND #math #primes

u/donbright

(note white = X&Y is prime, black = X&Y is composite)
u/andrea270872

this is really nice. retro and mathsy at the same time!
u/donbright

#Sierpinski

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donbright

remix of d/23884 by u/donbright

function u(t) {

質=(n)=>{for(j=2;j<n;j++){if (n%j==0)return n}return 0}
格=7
for(X=299;X--;)
for(Y=299;Y--;)
if (質(X%Y)) x.fillRect(格*X,格*Y,格,格)

Sep 19 2021 6:11 PM UTC

}// 126/140

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Prime fun 3 / 3 - when X is less than Y, then X modulo Y gives X, so we see the normal vertical prime stripes, white shows X is a prime. not sure about the rest, there seems to be a large white line around the line where X equals Y, #math #primes

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donbright

remix of d/1286 by u/donbright

function u(t) {

c.width^=0
x.font="120px Arial"
for(θ=0;θ<6.28;θ+=.53){
  s=String.fromCharCode(frame/2-θ*2)
  x.fillText(s,900+C(t-θ)*300,450+S(t-θ)*300)
}

Jun 25 2021 2:37 AM UTC

}// 140/140

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#unicode #time

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donbright

function u(t) {

c.width=1920
for(m=0;m<frame;m++){
t?(ni=k,nj=j+i,nk=k+j,i=ni,j=nj,k=nk):(i=0,j=0,k=1)
x.fillRect(i%m,j%m,9,9)
if (i>99999){i=0;j=0;k=1;}
}

Apr 27 2021 6:50 AM UTC

}// 140/140

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nothing fancy just some dancing modulo

u/rep_movsd

Mad

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donbright

remix of d/14974 by u/donbright

function u(t) {

宽=999
for(i=-宽;i<宽;i+=9)for(j=-宽;j<宽;j+=9){
b=i*i+j*j
r=i*i-j*j
g=2*i*j
n=frame+99
x.fillStyle=R(r*r%n,g*g%n,b*b%n)
x.fillRect(i+宽,j+宽,9,9)}

Nov 13 2020 7:18 AM UTC

}// 140/140

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#symmetry

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donbright

remix of d/19337 by u/danny@hille.dk

function u(t) {

x.globalAlpha=.02
x.fillRect(0,0,w=2e3,w)
for(i=500;i--;
){
s=128*(S(t*i/99-S(t)*8)*S(t)+3)
x.clearRect(S(t)*S(i)*s+1e3,C(i)*s+540,9,9)
}

Jul 7 2020 1:32 AM UTC

}// 138/140

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