Top #math 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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dooncee

function u(t) {

for(i=0;i<10;i++)x.fillRect(900+i*100*C(t*C(t)),500+i*100*C(t),5,5)

Jan 8 2020 11:43 AM UTC

}// 67/140

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from chaos to order, wait for it

u/Odog8

why does it form the concentric squares, though?
u/Xen

for each iteration of i ... i*100*C( ... it slowly fills an area of that size hence squares
u/aleamb

#waitforit #math #chaos

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username

function u(t) {

_=`a=5;b=6;a*b;a/b;a**b;c=9;a+b+c`.split(`;`)
x.font=`9em'`
for($=0;$<7;$++)x.fillText(s=_[$],0,h=$*142+142),x.fillText(`// `+eval(s),702,h)

May 4 2019 1:47 PM UTC

}// 140/140

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katkip

function u(t) {

c.width*=1;x.lineWidth=4;for(j=99;j--;)for(i=4;i--;)x.lineTo(960+C(i*1.57+3.14*C(t))*400,940+S(i*1.57+3.14*C(t))*100-j*8);x.stroke();

Feb 24 2019 12:27 PM UTC

}// 133/140

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Rectangular parallelepiped #math #d3 #geometry

u/f8f82804

#moire

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MingusDew

function u(t) {

c.width*=1;nn=27*S(t*2);for(i=960;i--;){p=0;for(n=1;n<nn;n+=2)p+=S(n*i*0.00657)/n;x.lineTo(10+2*i,540-480*p);}x.lineWidth=5;x.stroke();

Jan 21 2019 6:17 AM UTC

}// 135/140

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u/joeytwiddle

#math #fourier
u/katkip

Nice

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katkip

function u(t) {

f=x=>S(x)*C(x/2)*3
d=(q,t)=>(q(t+1/1e9)-q(t))*1e9

x.fillRect(t?t*100:0,t?540-f(t)*100:540,t?9:2e3,9)
x.fillRect(t*100,540-d(f,t)*100,5,5)

Feb 22 2020 4:59 PM UTC

}// 138/140

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derivative calculator! d(function, location) will calculate the derivative at function(location)! #math

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taupelink

remix of d/15085 by u/taupelink

function u(t) {

t||(A=[e=512,e+1],r=i=n=2);i--?(z=A[i],N=z%e,D=z>>9,x.fillText(N+'/'+D,N/D*1900,D*9),n-i-1&&A.splice(i+1,0,w+z),w=z):(i=n+=n-1)

Jul 22 2019 12:55 AM UTC

}// 127/140

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Farey sequence #math #numbertheory

u/donbright

awesome
u/IV

called Farey because wings? :)

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taupelink

function u(t) {

f=j=>x.fillRect(448+(j&255)*4,(j>>8)*4,4,4)
t||(p=Array(N=4**8).fill(n=1),f(0),f(1))
if(p[++n])for(i=1;(q=++i*n)<N;)p[q]=0,f(q),M=n;throw M

Jun 19 2019 2:39 AM UTC

}// 139/140

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Sieve of Eratosthenes. Throws primes less than 65536. Row Y Column X stays unfilled if 256*Y+X is prime. #math

u/Xen

clever
u/donbright

#primes #numbertheory
u/taupelink

maybe #sieve is a worthwhile hashtag too!

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taupelink

function u(t) {

f=(a,b,n)=>b?(a>=b?
(x.fillStyle=R(25*n),
x.fillRect(X,Y,b,b),X+=d?0:b,Y+=d?b:0,f(a-b,b,n+1))
:(d=!d,f(b,a,n+1))
):0
d=X=Y=0;f(1920,1080,0)

Jun 13 2019 1:58 AM UTC

}// 139/140

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GCD(1920,1080)=120, the size of the smallest reddest square. Demonstration of Euclidean algorithm by subtraction, cf. https://en.wikipedia.org/wiki/Euclidean_algo… #math

u/taupelink

#recursive #recursion
u/taupelink

(120 is the side length, not the size)
u/donbright

#numbertheory
u/donbright

this is super interesting

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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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taupelink

remix of d/15380 by u/taupelink

function u(t) {

g=(a,b)=>b?g(b,a%b):a;f=()=>Math.random()*1e7|0;t||(m=n=0);n++;g(f(),f())-1||m++;x.fillRect(n%1920,1080*(1-m/n),1,1);throw m/n

Aug 11 2019 4:25 AM UTC

}// 126/140

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If you take two random integers of at most 7 digits each, what is the probability that they are relatively prime? This simulation suggests somewhere around 60%

u/taupelink

In the graph, the x-axis shows number of trials, modulo 1920 (i.e. with wraparound). The y-axis shows % of trials with GCD 1, with 0% at bottom and 100% at top.
u/taupelink

After a little Web searching: Under more general conditions, the precise answer appears to be 6/π^2, or about .608. See, e.g., https://www.cut-the-knot.org/m/Probability/T…
u/aleamb

#math

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