New #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.

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

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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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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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katkip

function u(t) {

f=(n,r)=>r?f(S(n)*(t<5?2:t/5-1),--r):S(n)
t||(z=0)
for(j=19;j--;)for(i=69;i--;)x.fillRect(z*100,540-f(z,j)*300,2,2),z+=1/1e5
throw f(z,8)

Dec 30 2019 12:14 PM UTC

}// 137/140

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a #fourier transform with increasting dimension is creating the bifurcation diagram? #waitforit #math

u/LydianLights

Whoa that's crazy

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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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mildlybean

function u(t) {

for(r=X=c.width+=0;X-=2;t?T[X]>r?[T[X-1],T[X]]=[T[X],r]:0:T[X]=Math.random()*999)x.fillStyle=`hsl(${r/4},99%,45%`,x.fillRect(X,0,1,r=T[X++])

Dec 20 2019 12:38 AM UTC

}// 140/140

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Bubble Sort

u/Odog8

duuuude
u/pavel

#sort has a few others
u/katkip

awesome #math
u/katkip

#visualization #graph

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katkip

function u(t) {

eval(unescape(escape`𨰮𭱩𩁴𪀪🐱𞱴𯁼𚁬🐰𚐻𬀽𮀽🡻𮠽𜐻𪑦𚁸🀲𚑺🐰𞱩𩠨𮀼𝀩𮠽𜐻𪑦𚁸𙐲🐽𜀦𙡸𙐳🐽𜀩𮠽𜀻𩡯𬠨𪐽𝐻𪐼𮀻𪐫🐲𚑩𩠨𮀥𪐽🐰𚑺🐰𞱲𩑴𭑲𫠠𮡽𞱸𛡦𫱮𭀽𙰸𨱭𘠧𞱸𛡦𪑬𫁔𩑸𭀨𫀬𜠰𜀬𝠰𜀩𞱬👰𚁦𬡡𫑥𚐿𩡲𨑭𩐺𫀻`.replace(/uD./g,'')))

Dec 17 2019 2:13 PM UTC

}// 128/140

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tried to make the fastest prime number checking algorithm (aks) #primes #prime #text #math

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RealPeha

function u(t) {

for(n=1n,b=(n/17n).toString(2),b="0".repeat(1802-b.length)+b,i=1664;i--;)f=i/16|0,m=i%16,1==b[17*f-1-m]&&x.fillRect(15*f,15*m,15,15)

Nov 6 2019 11:29 AM UTC

}// 132/140

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Tupper's self-referential formula - https://en.wikipedia.org/wiki/Tupper%27s_sel…

u/RealPeha

replce n=1n with n=298920113425364710945174063024706852152542710199330592361698597004398237564819274733809743286995040508625544045599914148306975349205170331327990092162622845060716316131482904783234114235259416266981897762228827573502182291952479983792930642903749180695276008523282874249556440918466966543070395845482640338651942699940654855964713871768743109413500862200207215130145998180896538482727172275023699754589752921382513770704325997420957142233003912029498853747412052251315575533767378698446922961613878858196304519318085200678495996088486352388096n
u/katkip

WOOW
u/aleamb

#math #graph #pixel
u/384.cz

#cheating

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pasghetti

function u(t) {

b=t*60*9|0
if(b>1){
z:for(d=b;d<b+9;d++){for(a=2;a*a<=d;a++)
if(d%a<1)continue z
x.fillRect(d*C(d)/8+c.width/2,d*S(d)/8+c.height/2,5,5)}}

Oct 13 2019 7:47 PM UTC

}// 137/140

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3blue1brown prime spiral pattern

u/metamero

i was just waiting for this dweet since i saw this video =]
u/joeytwiddle

#3b1b #prime #math

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katkip

remix of d/16060 by u/katkip

function u(t) {

t||(q=0)
p=(r,θ)=>x.fillRect(960+C(-θ)*r,540+S(-θ)*r,3,3)
for(i=99;i--;)p(b=S(q)*200-200+C(q)*200/t,q),p(q,S(b)+3.9),q+=T(q/999)/99+1/9

Oct 13 2019 12:00 PM UTC

}// 135/140

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#math #art using polar coordinates

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katkip

function u(t) {

c.width^=0;x.font='9cm"';x.fillText((z=frame**2)+"=>"+(Math.floor(Math.log10(z))+1),0,500,1920)

Sep 30 2019 1:40 PM UTC

}// 95/140

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how to find the number of digits without looping or string conversion. #trick #math Math.floor(Math.log10(N))+1)

dwitter.net | #Math