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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Current theme challenge: #ScaryMovies

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rodrigo.siqueira

function u(t) {

v=(a,b,Φ,r)=>{for(i=0;i++<r*2;)
x.fillRect(
a-=S(Φ*3),
b-=C(Φ*i*r/5)*3,s=r/59,s)
r>9&&v(a,b,S(b),r*=.9)}
t<6&&v(960,800,t,99)

Apr 12 2023 8:34 PM UTC

}// 125/140

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Electric circuit diagram - Advanced Generative Fourier Inductive-Reactance Alternate Current with labels (sketch version) #math #fourier

u/tomxor

Inductor, half a capacitor, ac source, resistor, resistor, resistor.. so many resistors! :P
u/joeytwiddle

Is this a RISC-V? https://www.inverse.com/science/riscv-comput…
u/cantelope

wow. i feel it would be improved with a stopping point -> image
u/jdspugh

Cool

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donbright

function u(t) {

w=(c.width=999)/2
for(i=-t;i<t;i+=.1)for(j=-t;j<t;j+=.1){
B=1+i*i+j*j
X=S(t)*i/B
Y=j/B
Z=(B-2)/B/2
x.fillRect(w+(X+Y+Z)*w,w+(Y-Z-X)*w,2,2)}

Nov 8 2021 6:45 AM UTC

}// 139/140

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stereographic projection of the plane (in this case, a 0.1 grid to infinity) onto the sphere. aka Moebius Transformation. see also https://hyrodium.tumblr.com/post/13708635481… and https://en.wikipedia.org/wiki/Stereographic_…

u/donbright

#math #stereographic

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donbright

remix of d/23884 by u/donbright

function u(t) {

質=(n)=>{for(j=2;j<n;j++){if (n%j==0)return n}return 0}
格=7
for(X=299;X--;)
for(Y=299;Y--;)
if (質(X%Y)) x.fillRect(格*X,格*Y,格,格)

Sep 19 2021 6:11 PM UTC

}// 126/140

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Prime fun 3 / 3 - when X is less than Y, then X modulo Y gives X, so we see the normal vertical prime stripes, white shows X is a prime. not sure about the rest, there seems to be a large white line around the line where X equals Y, #math #primes

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donbright

remix of d/23883 by u/donbright

function u(t) {

質=(n)=>{for(j=2;j<n;j++){if (n%j==0)return n}return 0}
格=7
for(X=299;X--;)
for(Y=299;Y--;)
if (質(X^Y)) x.fillRect(格*X,格*Y,格,格)

Sep 19 2021 5:48 PM UTC

}// 126/140

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Prime fun 2 / 3 - Normally X binary XOR with Y produces a single white line, but if we only draw black when X XOR Y is a prime number, then we get a pattern. #math #primes

u/donbright

(note i have flipped black/white in my caption, actually its drawing black when the number is not prime)
u/rep_movsd

Fascinating
u/Joachim

#circuit

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donbright

function u(t) {

質=(n)=>{for(j=2;j<n;j++){if (n%j==0)return n}return 0}
格=7
for(X=299;X--;)
for(Y=299;Y--;)
if (質(X&Y)) x.fillRect(格*X,格*Y,格,格)

Sep 19 2021 5:40 PM UTC

}// 128/140

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Prime fun 1 / 3 - This is the standard X&Y (binary AND) Sierpinski triangle picture but only where X & Y is a prime number. perhaps revealing a relationship between primes and binary AND #math #primes

u/donbright

(note white = X&Y is prime, black = X&Y is composite)
u/andrea270872

this is really nice. retro and mathsy at the same time!
u/donbright

#Sierpinski

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katkip

function u(t) {

s="this🎉is🎉the🎉smallest🎉hex🎉hashing🎉algorithm🎉ever🎉"
throw[...s].reverse``.map(z=a=>a.charCodeAt(0)**3).reduce(t=(a,b)=>a+b).toString`16`

Jul 3 2020 3:53 PM UTC

}// 137/140

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u/pavel

reverse? t=?
u/katkip

#hash #math
u/katkip

you are right, they are useless

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katkip

function u(t) {

eval(unescape(escape`𭁼𯀨𮠽𙰧𛁯🐱𚐬𬰽𘠯𚠴𝀴𝀴𝀫𛐥𧠦割𞱧👱🐾𮱷🐧𙰻𭱨𪑬𩐨𭰮𬱰𫁩𭁠𝁠𛡬𩑮𩱴𪀼𝐩𭰫👳𦰨𣑡𭁨𛡲𨑮𩁯𫐨𚐪𜐴𚑼𜁝𞱲𩑴𭑲𫠠𭱽𞱦𫱲𚁩🐹𞐹𞱩𛐭𞰩𮱴𬡹𮱴👠𙁻𬠽𩑶𨑬𚁱👧𚀩𚑽𘀽𘀤𮱱𯑠𞱯🐽𬠿𮠫🐨𫰫𚰬𭀫𙱜𫠧𚐺𜁽𨱡𭁣𪁻𯑽𭁨𬡯𭰠𮠠`.replace(/uD./g,'')))

Jun 2 2020 4:00 PM UTC

}// 140/140

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Sorting the four fours numbers! #waitforit #math #puzzle. This is an automatic program that will throw the list of natural numbers written as javascript expressions that eval that number! To view the code, replace eval with throw

u/katkip

example print: 1 = 44/44 2 = 4/4+4/+4 3 = 4+~44%4 4 = ~44%~4^4 5 = 44%4-~4 6 = 44/4+~4 7 = 44/4-4 8 = 4+4//-/^*4^*4 9 = 4/4+4+4
u/KilledByAPixel

nice!
u/katkip

looks like it gets stuck at 17
u/katkip

17 = 4^4*4-~4 18 = 4-~4+4-~4 19 = ~-4^~-4*4+4 20 = 4&4^4*4 21 = 4/4-~4*4
u/katkip

nvm. stuck at 22

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katkip

function u(t) {

f=x=>S(x)*C(x/2)*3
d=(q,t)=>(q(t+1/1e9)-q(t))*1e9

x.fillRect(t?t*100:0,t?540-f(t)*100:540,t?9:2e3,9)
x.fillRect(t*100,540-d(f,t)*100,5,5)

Feb 22 2020 4:59 PM UTC

}// 138/140

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derivative calculator! d(function, location) will calculate the derivative at function(location)! #math

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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

dwitter.net | #math