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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KilledByAPixel

remix of d/17010 by u/KilledByAPixel

function u(t) {

eval(unescape(escape`𭀿𨰮𭱩𩁴𪁼🐰𞡡👛𧐊𩡯𬠨𮀮𬱣𨑬𩐨𞐬𞐩𛁩🐴𞀻𪐭𛐻𨑛𪑝🰨𮀮𫑯𭡥𥁯𚁘🐨𪐥𞀩𚠲𝠫𜐵𛁙🐨𪐾🠳𚐪𜠰𚰴𚐬𮀮𨑲𨰨𦀬𦐬𜐳𛁱🐱𛠵𝰫𤰨𨑛𪑝𚱴𚠴𚐬𬐩𚐺𨑛𪑝👩𚡩𚑦𫱲𚁪🐴𞀻𭀦𙡪𛐭𞰩𨑛𪑝𚰽𤰨𨑛𪡝𛑡𦱩𧐩𛰱𩐴𒡸𛡳𭁲𫱫𩐨𚐻`.replace(/u../g,'')))

Dec 31 2019 12:50 AM UTC

}// 135/140

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Pendulum Synch - Kuramoto Model

u/Qwerasd

This is really cool.
u/katkip

#math is awesome
u/iverjo

Explanation?
u/rodrigo.siqueira

The Kuramoto Model describes how small interactions between oscillators can lead to synchronization between them. E.g. flashing of fireflies, group of metronomes, neural network of spiking neurons can sync after a period. Oscillatory neural networks are a promising field for future research in both natural and Artificial Intelligence
u/lionleaf

Here's a recent youtube movie that's relevant, and perhaps an inspiration: https://www.youtube.com/watch?v=J4PO7NbdKXg #pendulum

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pavel

function u(t) {

for(c.width|=r=i=300;j=i--/46;f(),f(d=1.1+j),f(-d),f(X,d),f(X,-d))s=i?3:9,f=(a=X=S(A=j+3*t),b=C(A))=>x.fillRect(960+r*a-s,540+r*b-s,2*s,2*s)

Nov 8 2018 7:03 AM UTC

}// 140/140

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u/twitter

Ooh, nice! #trigonometry #educational
u/joeytwiddle

#math

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katkip

function u(t) {

t||(z=q=-1);for(i=999;i--;)k=S(S(q)*C(q+z))*S(t/3),x.fillRect(S(k+q)*k*440+z*100,540+C(k+q)*k*440,2,2),q+=S(q)+1+(z+=1/1e5);x.globalAlpha=.1

Dec 20 2019 11:32 AM UTC

}// 140/140

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This is the reason math is so beautiful! <3 #chaos #waitforit #slowrender

u/katkip

Final result for people in hurry: https://imgur.com/a/NrKjdkZ
u/DataMeta

Gorgeous. #math #wallpaper

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joeytwiddle

remix of d/14827 by u/joeytwiddle

function u(t) {

c.width=600
d=(r,T)=>x.fillText(T,300+r*S(a=i/9.55),172-r*C(a))
for(i=N=t|0;i;i--)
for(N%i||d(90+i/4,i),k=75;k--;)N%i||d(k,'*')

Jul 15 2019 7:15 AM UTC

}// 127/140

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Divisors on a clock (second hand version) #math

u/katkip

awesome
u/aleamb

love it!
u/donbright

super cool
u/joeytwiddle

Shouts to u/donbright and u/taupelink

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robbyg

function u(t) {

c=t?c+4:1;throw p=(t?p:0)+4/c-4/(c+2)

May 29 2019 5:22 PM UTC

}// 37/140

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Calculating #pi based on a formula I found in a Commodore 64 manual. Googling says it's the Gregory-Leibniz series.

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Jezza

function u(t) {

c.width|=0;x.font='99px monospace';if(!t)p=3,a=2,o=0,q=2;p+=24/a/(a+1)/(a+3)/(a+=4);x.fillText((p+o).toFixed(15),9,99);if(p>q)p-=q,o+=q;q/=2

Jan 31 2018 10:32 PM UTC

}// 140/140

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I thought I'd see if I can calulate PI in 140 chars. Math.PI is 3.141592653589793, which is 15 decimal places. 15 decimal places is precise enough to calculate the circumference of the solar system (including Pluto) with an accuracy of a meter. The formula is Nilakantha's from the 15th century. You could also just print 245850922/78256779 but doing that doesn't seem much better than just printing Math.PI.

u/donbright

#pi #math

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rodrigo.siqueira

remix of d/12001 by u/thorbear

function u(t) {

X=t/6;Y=2;s=999;x.globalAlpha=.05;for(i=3e3;i--;)
Y=1.66-2*(.1*X-S(1.2*Y)),
x.fillRect(X*s,Y*s-700,3,3)

Jan 31 2019 2:25 PM UTC

}// 103/140

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Bifurcation diagram attractor of the logistic map. xₙ₊₁ = r * xₙ(1-xₙ). Bifurcation diagrams enable the visualization of bifurcation theory. #fractal

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Quant1um

function u(t) {

for(i=c.width=920;z=i/(s=50),i>0;i-=9){for(F=k=1,R=6;k<(h=t<<1);k++)R+=[0,1,0,-1][k%4]*(F*=z/k)*(h-1-k?1:t%1);x.lineTo(i,R*s)}x.stroke()

Sep 25 2018 11:28 AM UTC

}// 136/140

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Sine created using Taylor series

u/Quant1um

#math

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gho.xlrtx@gmail.com

function u(t) {

t||(X=960,Y=540,D=10,F=J=Q=0,N=1)
if(J>2*F)F+=1,Q=F%2?-1:1,J=1
J>F?Y+=D*Q:X-=D*Q
for(I=2;I<N&&N%I!=0;I++);
I==N&&x.fillRect(X,Y,D,D)
J++
N++

Sep 18 2018 8:40 AM UTC

}// 140/140

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Ulam Spiral && Patterns in Prime Numbers

u/katkip

awesome
u/f8f82804

Impressive! #math #waitforit
u/donbright

!!!!!!!!!!!!!!!!!!!!!

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joeytwiddle

remix of d/14824 by u/donbright

function u(t) {

c.width=400
d=(r,T)=>x.fillText(T,200+r*S(a=i/1.91),115-r*C(a))
for(i=N=t|0;i>1;i--)
for(N%i||d(60+i,i),k=50;k--;)N%i||d(k,'*')

Jun 29 2019 4:36 AM UTC

}// 127/140

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Prime factors on a clock #primes #math

Show more comments…
u/joeytwiddle

Shouts to donbright and taupelink!
u/joeytwiddle

35, 55, 77, 95, 115 and 119 all draw a lambda
u/katkip

Wow
u/taupelink

yay
u/DataMeta

Noice!
u/joeytwiddle

Oops this shows all factors, not just prime factors
u/donbright

hee hee sorry my description on the original was slightly misleading
u/donbright

you have golfed it down to where you might actually be able to do something only with prime factors
u/donbright

holy smokes... i just realized something. if you express an integer using this method, there are only 2 to the twelfth possible representations, which is 4096
u/joeytwiddle

Even fewer, since 4, 6, 8, 9, 10, and 12 never appear alone
u/joeytwiddle

They all light up at t=13860, after 3.85 hours #waitforit
u/joeytwiddle

For seconds/minutes use S(a=i/9.55) and d(60+i/4,i)
u/joeytwiddle

To see factors of odd numbers only, and quickly: i=N=t*22|1
u/donbright

cool

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