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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username

function u(t) {

t?onmousemove=_=>e=_:e={x:666,y:420}
x.beginPath()
for(i=c.width+=0;i--;x.lineWidth=14)x.lineTo(i,542+e.y*S(6.283*(t-i/e.x)))
x.stroke()

Jun 10 2019 12:46 PM UTC

}// 136/140

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harmonic wave equation (in javascript notation y=(x,y)=>A*S(2*Math.PI*(t/T-x/λ))) - move mouse to change wave length and amplitude (period is fixed at T=1 for simplicity)

u/aleamb

#interactive
u/aleamb

#math
u/marc8

Remixes https://www.dwitter.net/d/10105
u/username

u/marc8 I guess we had the same idea. However, my intention was to show a harmonic wave equation using d/14535 and then I just remixed that
u/username

actually, d/14535 does not do that. I did not post the dweet I had originally drafted. it used the above equation (in my very first comment) in code and that is exactly like that

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rodrigo.siqueira

function u(t) {

D=(a,b)=>{L=a.length,i=r=0,R='';while(i<53){d=i<L?~~(a[i]):0,R+=(i==L?".":"")+~~((K=d+(r*10))/b),r=K%b,i++}throw(a+"/"+b+"="+R)};D("1",9998)

May 30 2019 5:23 PM UTC

}// 140/140

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BigFloat in 140 chars! This is the Long Division Algorithm used here to calculate 1/9998. Note that this simple division results in Powers of Two: 0001, 0002, 0004, 0008, 0016, 0032, 0064.... Try to change 9998 for 9997 and you will see Powers of Three (1, 3, 9, 27, 81...). Guess what 9996 does? D is the division function. (a,b) are (numerator, denominator). 53 is precision (number of digits). Add more "9" to fit larger power numbers. E.g. To see powers up to 2**40 (that is 1099511627776), change denominator from 9998 to 9999999999998 and total number of digits from 53 to 534.

u/rodrigo.siqueira

I have discovered a truly remarkable demonstration of this result, but this comment is too small to contain.
u/joeytwiddle

#math #division
u/marc8

quoting Fermat... LOL

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Undefined

function u(t) {

l=n=>{a=[];while(n!=1){n%2==0?n=n/2:n=n*3+1;a.push(n)};return a}
throw (~~t+2)+': '+l(~~t+2)

Jan 4 2019 11:35 PM UTC

}// 92/140

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Mini #collatz

u/Undefined

Now starts instantly #math #maths
u/DataMeta

Neat

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JWinslow23

function u(t) {

eval(unescape(escape`琿琥ㄼ⸰ㄦ☨挮睩摴栽㈴ⱱ⨽椽䉩杉湴⠰籴⬱⤬砮晩汬呥硴⡹㴨焪㈷渭焪ㄲ港椫㕮⩲⤯㕮⽳ⰹⰹ⤬爽㄰渪⡵㴶渫㈷渪椪⡩⬱温⤪⡱⨵渭焪㉮⽩⭲⵹⩳⤬焪㴲の⩩ⴱのⱳ⨽甩㨨焽ㅮⱲ㴱㠰測猽㘰温`.replace(/u(..)/g,"$1%")))

Jan 3 2019 8:57 PM UTC

}// 133/140

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The digits of pi, forever... (credit to u/katkip for golfing tips)

u/katkip

Nice
u/joeytwiddle

#math

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katkip

function u(t) {

x.fillRect(0,0,2e3,2e3);for(j=800;j--;)
x.clearRect(960+S(j+C(t+j))*300,540+C(-j+S(t+j))*300,10+S(-Math.LN10+j+t)*5,10+S(Math.E*2+j+t)*5)

Dec 22 2018 2:56 PM UTC

}// 137/140

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3D string creates right angles! #d3 #math

u/magna

Right...

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katkip

function u(t) {

r=[];i=[0,1,0,1];o=[0,0,0,1];for(l=0;l<4;l++)r.push(((S(o[l]**i[l])/Math.E**199.18821)*10)%3?1:0);x.font="2in Verdana";x.fillText(r,600,617)

Aug 2 2018 12:29 AM UTC

}// 140/140

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AI - Simple neural network learns how to check if two items are the same in two arrays. First two: yes, second two: no... yes... yes... with i=[0,1,0,1];o=[0,0,0,1]

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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)

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katkip

function u(t) {

t||(k=0);for(j=2000;j--;){i=parseInt(k.toString(2).split``.reverse().join``,2);x.fillRect(k%1920,1080-i%1080,1,1),k++}

Aug 8 2019 3:01 PM UTC

}// 118/140

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reverse binary sequence graph #math #binary

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taupelink

remix of d/14855 by u/taupelink

function u(t) {

c.width=500;p=37;a=(t|0)%(p-1)+1;for(n=0,m=a;++n<=p;m*=a,m%=p)x.fillStyle=R((n-1)%(p-1)?0:255,0,(n-p+1)?0:255),x.fillText(n,12+m*12,7+n*7)

Jul 6 2019 6:29 PM UTC

}// 138/140

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Powers of a=1, 2, 3, ..., 36 modulo 37, arranged in rows. The 36th power is always 1; the 37th is a.

u/taupelink

#math #numbertheory Fermat's little theorem https://en.wikipedia.org/wiki/Fermat's_l…
u/DataMeta

Cool!

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katkip

function u(t) {

c.width*=1;t||(X=80,Y=40,v=20,V=8);x.fillRect(X,Y,99,99);X+=v,Y+=V;V++;if(Y>989)V*=-.7;if(X>1831)v*=-.5;v/=1.005

May 24 2019 2:24 PM UTC

}// 112/140

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#collision #hitbox #square #physics #fall #math #velocity

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