New #Pendulum 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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tomxor

function u(t) {

eval(unescape(escape`𩡯𬠨𭀿𨰮𭱩𩁴𪀽𪐽𝠴𞠨𢀽𪀽𢠽𪠽𫀽𢰽𪰽𜀬𣀽𜐶𚐻𪐭𛐻𮀮𬱴𬡯𪱥𚁮𩑷𘁐𨑴𪀲𡀨𙱍𙰫𦱈𚰽𪀭👘𚡁𛁊𚰽𪠭👙𚡁𛐴𩐭𝐬𣀫👬𚰽𦀪𠐭𦠪𠠬𢰫👫𚰽𦐪𠐭𢰪𠠫𝁥𛐵𛀳𜠬𜁝𚐩𚑘👈𛑌𛁙👊𛑋𛁚👌𛐳𜠬𠐽𚁘𚡘𚱙𚡙𚐯𝐱𜠭𛠵𛁂🐨𦠪𦠫𢰪𢰩𛰲𝐶𛐱`.replace(/u../g,'')))

Jun 29 2024 5:40 PM UTC

}// 139/140

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#Chaotic Double #Pendulum

u/tomxor

Simple eulerian integration but ended up with nice small intervals, with 3840 steps per second. #physics
u/Joachim

:D
u/KilledByAPixel

nice!

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xyper

function u(t) {

c.width=500
b=[S(t*2)*100+250,C(t*4)*31+150]
x.beginPath()
x.moveTo(250, 70)
x.lineTo(b[0],b[1])
x.arc(b[0],b[1],10,0,7)
x.stroke()

Jun 29 2024 4:56 AM UTC

}// 131/140

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pendulum

u/tomxor

Hah, I totally didn't see this before posting mine. #pendulum

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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|=i=16,x.scale(2,2);i--;x.moveTo(480,0),x.arc(480-r*S(a=C(40*t/r**.5)),r*C(a),r/16,a-11/7,9))r=4e4/(9+i)**2;x.stroke();x.fill()

Dec 20 2018 7:18 AM UTC

}// 138/140

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#pendulum #waitforit

u/katkip

Nice
u/cantelope

can save a byte by nesting x.fill(x.stroke())
u/katkip

It's better than d/6440

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donbright

function u(t) {

c.width^=0
for(r=200;r--;)
for(a=199;a<1e3;a+=200)
θ=2*Math.asin(r/a*C(t)),
x.fillRect(1e3+r*(θ+S(θ)),200-r*(-3-C(θ)),9,9)

Sep 11 2018 5:40 AM UTC

}// 123/140

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This is a set of 5 isochronous cycloidal pendulums, based on equations from Wikipedia. https://en.wikipedia.org/wiki/Cycloid and Rem088roy's illustration. Each pendulum takes the same amount of time to reach the 'bottom' because the bottom end of each one follows a Tautochrone Curve. https://en.wikipedia.org/wiki/Tautochrone_Cu… #cycloid #physics #pendulum #huygens

u/donbright

it's not perfectly accurate but its kind of close...
u/DataMeta

#smooth

You've reached the end.

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