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.

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f8f82804

function u(t) {

for(s=64,r=80,c.width=i=w=480;i--;)for(Y=s*S(a=i/9+t),j=2;j--;x.fillRect(i,j?r-s*C(i/9+t):2*r-s*C(a)-(r*r-Y*Y)**.5,1,2))x.fillStyle=R(255*j)

Sep 12 2018 11:01 PM UTC

}// 140/140

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Comparing #sinusoidal motion (red) with #reciprocating motion of a crank and #piston (black), with stroke of 64 and rod length of 80. TDC at the top.. #math

u/f8f82804

See d/9807 for a mechanism with these dimensions
u/f8f82804

also a #template for graphing functions. #tool

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f8f82804

remix of d/9707 by u/f8f82804

function u(t) {

for(i=c.width^=0;i--;){
θ=i+t/9;
ϕ=i/600;
X=S(θ)*S(ϕ);
Y=C(ϕ);
Z=C(θ)*S(ϕ)+2;
if(Z<1.6)x.fillRect(960+800*X/Z,540+800*Y/Z,s=32*(1.6-Z),s);
}

Sep 9 2018 3:44 AM UTC

}// 140/140

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#readable #perspective #sphere #template #math

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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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aleamb

function u(t) {

c.width=512;b=136;for(y=b;e=0.7*y,f=y-60,f*=f,y-=2;)for(m=b;m--;)d=m-70,z=S(t)*b*Math.exp(-1e-3*(f+d*d)),x.fillRect(m+e+b,-z+e+100,1,1)

Feb 14 2018 1:37 AM UTC

}// 135/140

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Shorter version: c.width=512;b=136;h=60;for(a=b*b;a--;)m=a%b-h,y=a/b-h,e=0.7*y,x.fillRect(m+e+100,S(t)*b*Math.exp(-1e-3*(y*y+m*m))+e+150,1,1)

u/iverjo

Further, 0.7 can be replaced with .7
u/aleamb

#function #p3d
u/aleamb

#math
u/aleamb

#d3

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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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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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jaemiejaemie

function u(t) {

c.width=640;x.beginPath();for(i=0;i<640;i++){a=180;for(j=1;j<t*60%60;j+=~~(t)%2+1){a+=S((i+t*60)*j/20)*50/j}x.lineTo(i,a)}x.stroke()

Dec 27 2017 10:31 AM UTC

}// 132/140

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demonstration of basic fourier curves (square/saw)

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u/sigveseb

Very cool!
u/joeytwiddle

Nice. DSP hero!
u/iverjo

Kudos!
u/RomanW

Excellent!
u/joeytwiddle

#math
u/katkip

#fourier

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donbright

remix of d/1871 by u/walsh9

function u(t) {

圈=(n,d,N,D)=>{d+D<15?(圈(n,d,n+N,d+D),圈(n+N,d+D,N,D),w=2e3,m=d+D,x.beginPath(),r=w/m/m/2,x.arc(w*(n+N)/m,r,r,0,7),x.fill()):1}
圈(0,1,1,1)

Mar 7 2017 11:35 PM UTC

}// 136/140

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basic Ford's Circles (sort of like Apollonian Circle Packing but every circle touches the floor, or here, the ceiling)

u/donbright

#math
u/donbright

see also https://www.dwitter.net/d/15086 by @taupelink
u/donbright

#numbertheory
u/taupelink

nice!

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donbright

remix of d/1755 by u/SpecialAgent

function u(t) {

n=frame
q=n%2?400:289.2
d=n%2?2*t:2*t/.61518
X=960+q*C(d),Y=540+q*S(d)
n%4?x.moveTo(X,Y):x.lineTo(X,Y)
x.stroke()
x.fillRect(X,Y,9,9)

Mar 3 2017 2:36 AM UTC

}// 133/140

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This shows the pattern traced by a line directly between the Earth and Venus as they orbit the sun. This pattern is pretty ancient, for example discussed in the book Quadrivum about the old academic relationships between art and science. This type of pattern may be helpful to appreciate the concept of Orbital Resonance in a planetary system.

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u/donbright

thx to https://nssdc.gsfc.nasa.gov/planetary/factsh… for the data
u/sfz

Fascinating
u/donbright

inspired by @SpecialAgent obvs!
u/SpecialAgent

This pattern is very pleasing to the eye, very nicely done!
u/sigveseb

This space stuff is nice!
u/Lazy1337

#cardioid
u/Lazy1337

#math
u/donbright

#venus #space #orbits

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iverjo

remix of d/257 by u/iverjo

function u(t) {

x.fillStyle=R(249,183,227,.01);X=S(t);x.lineTo(960+512*X*X*X,480-32*(13*C(t)-5*C(2*t)-2*C(3*t)-C(4*t)));x.fill()

Dec 31 2016 3:17 PM UTC

}// 112/140

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u/BriSeven

nice maths
u/iverjo

Found the mathematic formula online somewhere ^^
u/joeytwiddle

Wait, there's a mathematical formula for love? :-O
u/iverjo

#heart
u/katkip

<3 #math

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