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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Current theme challenge: #Opposites

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marc8

function u(t) {

with(Math){a=1/E;b=E;f=X=>log(X)
w=c.width|=p=i=0
s=w/frame
for(k=(b-a)/w;p<w;)x.fillRect(p+=s,q=w/4,s,-q*(y=f(a+k*p)),i+=k*s*y)
throw(i)}

May 20 2019 9:08 PM UTC

}// 138/140

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Have fun integrating your functions from a to b. Use Math, but not my fault if you exceed the 140 chars ;)

u/Jezza

a=-1;b=1;f=X=>X*X*X-X
u/pavel

a=0;b=Math.PI;f=C
u/vinca

a=1/E;b=E;f=X=>S(X*9|t)
u/13thptr

#math

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katkip

function u(t) {

c.style.background='#bdf';f=1
for(i=99;i--;)for(j=256;j>99;j-=9)x.fillStyle=R(0,j),f+=S(i*9+f/9)*t,x.fillRect(t*90,940+C(f)*90+-j*2,10,2e3);

Feb 6 2019 5:14 PM UTC

}// 140/140

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Mathematically made hills #math

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BackendForth

function u(t) {

v=(n)=>n?v(n-1)*n:1
f=2*t-2*t%1
for(i=c.width=1920;i--;){h=0
for(j=f;j--;)h+=(i/99)**(2*j)/v(2*j)*-(j%2*2-1)
x.fillRect(i,h*99+540,9,9)}

Jan 31 2018 1:03 AM UTC

}// 136/140

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u/lionleaf

Taylor expansion of sin(x)?
u/BackendForth

Yup!
u/Lazy1337

#math

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KilledByAPixel

function u(t) {

eval(unescape(escape`𭀿𫰽𘠢𞡣𛡯𭑴𩑲𢁔𣑌🐢🁤𪑶𘁩𩀽𣰾🀯𩁩𭠾🐾🁩𫡰𭑴𘁩𩀽𢐾🀽𘠻𒡩👉𛡶𨑬𭑥𞱦𫱲𚁪🐱𜀱𞱪𛐭𞱏𛡩𫡮𩑲𢁔𣑌👯𚑔𦱪𧐿𫰽𪠫𨀽𙁻𥁛𪡝𯐠𨀫𫰺𪐮𫑡𭁣𪀨𛱞𦰭𚰪𚀩𛰮𝁝𚠤𛱧𚐦𙡩𛡭𨑴𨱨𚀯𝀯𩰩𛡬𩑮𩱴𪀽🐴𙠦𚁶👥𭡡𫀨𪐩𚐽👶𯀰🱔𦱶𧐽𪐺𜀻`.replace(/u../g,'')))

Aug 13 2019 5:19 AM UTC

}// 140/140

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our Fours Puzzle V2 ~ How many integers between 0-100 can you form using only 4 4s and the +-*/.() operators? Example 1=44/44

u/KilledByAPixel

Updates: Fix issue with space running out after 20. You can also use the decimal point. Only exact matching strings are accepted.
u/KilledByAPixel

#interactive #math #puzzle #game

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taupelink

function u(t) {

t||(a=[J=64]);c.width=160
for(i=64;i--;)t||(a[i]=i),x.fillText(a[i],i%8*20,9+(i>>3)*9)
J&&(K=Math.random()*(J--)|0,[a[K],a[J]]=[a[J],a[K]])

Jul 5 2019 3:29 AM UTC

}// 139/140

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Fisher-Yates shuffle aka Knuth shuffle. #math https://en.wikipedia.org/wiki/Fisher%E2%80%9…

u/taupelink

I'd be curious to see how much space can be saved by golfing on this one!
u/Xen

killed 8bytes for you
u/taupelink

#shuffle

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13thptr

function u(t) {

h=N=M=0
for(i=18;i--;x.stroke(new Path2D(`M500 500L${M+(b=500)} ${N+b}L${O+b} ${P+b}`)))O=M,P=N,M=C(h+=Math.atan2(99,r=i**.5*99))*r,N=S(h)*r

Jun 28 2019 9:33 PM UTC

}// 140/140

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Spiral of Theodorus

u/donbright

awesome
u/13thptr

#spiral #math #path2d
u/13thptr

Thanks to u/joeytwiddle for the golfing help

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andrea270872

function u(t) {

a=~~t
b=~~(t%1*10)
x.setTransform(A=a*9,B=b*9,-B,A,800,600)
for(i=-7;i++<7;)for(j=14;j--;x.fillRect(i,j-7,.05,.05));

Jun 27 2019 8:25 AM UTC

}// 116/140

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Sieve of Eratosthene for Gauss Integers - all white pixels left will be Gauss Primes

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katkip

function u(t) {

t||(z=0);for(i=999;i--;){x=Math.random()+1;if((r=(x**2)/(x**x))>z)z=r}
throw z

Jun 17 2019 6:54 AM UTC

}// 78/140

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Approximating maxima of (x^2)/(x^x)

u/katkip

#math

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KilledByAPixel

function u(t) {

for(s="",a=[i=1];i++<300;s+=a[i-2]+"/"+a[i-1]+"&emsp;")i%2?(n=(i-1)/2,m=n+1,a.push(a[n-1]+a[m-1])):(n=i/2,a.push(a[n-1]))
t?0:c.outerHTML=s

Jun 5 2019 8:36 PM UTC

}// 139/140

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Generating every fraction in order using the Stern–Brocot sequence.

u/KilledByAPixel

Minified version of this https://jan.jarfalk.se/infinite-fractions/
u/taupelink

#math
u/taupelink

#numbertheory
u/KilledByAPixel

https://en.wikipedia.org/wiki/Stern%E2%80%93…

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taupelink

function u(t) {

t?(a=f(n++),N<1e999?c=N/D:0,[N,M,D,E]=[a*N+M,N,a*D+E,D]):(c=n=M=D=0,N=E=1,f=X=>[1,2*X/3|0,1][X%3])
throw c

Jun 3 2019 12:43 AM UTC

}// 106/140

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Continued fraction approximation of e. Replace the formula for f to generate other continued fractions. #math

u/taupelink

Hat-tip to users robbyg for d/14305 and pavel for d/14331...Dunno whether what I have here ought to have been a remix. :)

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