New #torus 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.

Try the new frontend: beta.dwitter.net
Current theme challenge: #Opposites

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jellyedwards

remix of d/18848 by u/jellyedwards

function u(t) {

for(c.width|=j=k=600;k--;x.stroke())m=k%2,o=k%4%3?-55:55,x[m?'moveTo':'lineTo'](960+C(i=k/127+t/2%.03+m*3-.7)*(b=(8+i)*o),j+o-S(i)*b/2)

Aug 15 2020 10:54 PM UTC

}// 135/140

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More Eschery

u/rodrigo.siqueira

#Torus Escher #Mobius

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pavel

function u(t) {

for(let i=2e3,f=(x,n,c=8-(t+6)*n)=>~n&(x*x*n*n+(8+(t-12)*n)**2+c*c-5)**2/16+c*c>1?f(x,n+=.002):c;i--;)x.fillRect(i,t*180,f(i/135-7,.7),3)

Apr 23 2020 7:27 AM UTC

}// 137/140

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Actually #raytracing a #torus using ray marching

Show more comments…
u/Xen

Sweeet!
u/tomxor

Yes! we need more explicit surfaces on dwitter :)
u/Odog8

which expression is the DFT?
u/tomxor

I'm confused... this isn't explicit? it recurses.
u/pavel

This recurses just to advance ray length.
u/pavel

The closed form expression is x*x*n*n+(8+(t-12)*n)**2+c*c-5)**2/16+c*c-1 where c=8-(t+6)*n and n is the free variable.
u/tomxor

Ah, so is this technically ray casting? I have to ask because I still don't intuitively get all of the math.
u/tomxor

Sorry I meant ray marching
u/pavel

Yes. The math constructs a ray from (0,8,8) looking at (0,0,0), varied a bit depending on the pixel being drawn, its length is a function of n. I plug this into the equation for a torus and increment n from .7 to -1 until I find a zero of the equation.
u/pavel

Here is a version without much golfing that makes things clearer for(let i=2e3,f=(o,n,x=o*n,y=t/3*n-n,z=4-n)=>z>-1&(x*x+y*y+z*z+3)**2>16*(x*x+y*y)?f(o,n+.01):z;i--;)x.fillRect(i,t*180,f(i/540-16/9,3),3)
u/pavel

(x*x+y*y+z*z+3)**2>16*(x*x+y*y) is directly from https://en.wikipedia.org/wiki/Torus
u/pavel

with R=2 and r=1
u/pavel

This example shoots rays from (0,0,4). In order to rotate the shape you have to move where the rays come from, the camera!
u/tomxor

Thanks for the explanation 👍

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yonatan

function u(t) {

eval(unescape(escape`𨰮𭱩𩁴𪀽𞐹𞱷𪑴𪀨𮀩𩡯𬠨𪐽𝠲𜠻𪐭𛐻𨡥𩱩𫡐𨑴𪀨𬱴𬡯𪱥𚀩𚐩𨐽𠰨𫐽𪐪𚁩𙐲𛐮𝐩𛰹𞐩𛁱🐳𜀯𚀳𛑡𚐬𩑬𫁩𬁳𩐨𝐰𚱓𚁭𚐪𬐪𜰬𜠵𚱡𚡱𚠳𚡃𚁴𚐬𬐪𜠬𬐪𜠬𜀬𜀬𞐩𛁳𩑴𣁩𫡥𡁡𬱨𚁛𬐪𤰨𭀩𙠷𧐩𛁳𭁲𫱫𩑓𭁹𫁥👠𪁳𫀨𞐠𝐰𙐤𮰹𞐭𬐪𚠳𛰵𜁽𙑠`.replace(/u../g,'')))

Mar 11 2020 9:57 PM UTC

}// 140/140

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MEGADONUT #torus

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yonatan

remix of d/17912 by u/yonatan

function u(t) {

eval(unescape(escape`挮睩摴栽㤹㭷楴栨砩景爨椽㘲㈻椭ⴻ扥杩湐慴栨獴牯步⠩⤩愽䌨洽椪⡩┲⴮㔩⼹㤩ⱱ㴳〯⠳ⵡ⤬敬汩灳攨㔰⭓⡭⤪焪㌬㈵⭡⩱⨳⩃⡴⤬焬焬〬〬㤩ⱳ整䱩湥䑡獨⡛焪匨琩☷崩ⱳ瑲潫敓瑹汥㵒⡱⩱⤻`.replace(/u(..)/g,"$1%")))

Mar 11 2020 9:38 PM UTC

}// 134/140

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sliced #torus

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yonatan

function u(t) {

eval(unescape(escape`挮睩摴栽㤹㭷楴栨砩景爨椽㘲㈻椭ⴻ扥杩湐慴栨獴牯步⠩⤩焽㈵⼨㌭䌨洽椪⡩┲⨲ⴱ⤯㤹⤩ⱥ汬楰獥⠵〫匨洩⩱⨳ⰲ㔫䌨洩⩱⨲⩃⡴⤬⠳ⵃ⡭⤩⩱⼳ⱱⰰⱴⱴ⬹⤬獥瑌楮敄慳栨孱⼲崩ⱳ瑲潫敓瑹汥㵒⡱⩱ⱱ⨹⤻`.replace(/u(..)/g,"$1%")))

Mar 11 2020 7:24 PM UTC

}// 140/140

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#torus

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yonatan

function u(t) {

c.width=-1
for(i=800;i--;x.beginPath(x.stroke()))x.ellipse(150,85+C(m=i)*50,r=69+50*S(m=i),r/3,0,t,9+t),x.setLineDash([r/9])

Mar 11 2020 11:12 AM UTC

}// 124/140

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u/13thptr

#torus #illusion

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jylikangas

function u(t) {

//TBD: remove comments
for(W=i=688;i--;x.clearRect(W+q*C(u=i*W+t)/T*W,W+(4+C(t))*S(i)/T*W,T=q*S(u)+9,T))x.fillRect(0,i*2,2e3,1.3),q=6+5*C(i)

Mar 9 2020 5:14 PM UTC

}// 140/140

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Torus at the Discoteque

u/rodrigo.siqueira

I am inside a #torus. It reminds your previous #d3 https://www.dwitter.net/d/8707 and also this rotator https://www.dwitter.net/d/13254
u/jylikangas

I did this from scratch and managed to implement a torus in much smaller space than last time. Notice the little ghost effect trick. There's still 22 bytes left but I felt the demo was ready.
u/ivylab

Whoaaaaaaa, so nice, I love this. Futuristic. Motion blur too. Great job!
u/katkip

nice!

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katkip

function u(t) {

for(c.width|=j=5,z=600;j--;)for(i=2*z;i--;)x.fillRect(960+C(i*52e-4)*600+S(i*j+t)*99,540+S(i*52e-4)*300+C(i*j+t)*99,s=C(i*52e-4-1.5)*2+5,s)

Jan 10 2020 1:02 PM UTC

}// 139/140

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#ellipse inside a #torus

u/DataMeta

#opticalillusion

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pavel

function u(t) {

for(i=c.width|=0;i--;x.fillRect(960+200*(r*C(a=i*o/300)-4*o+3),540+200*((1-o)*S(i)*C(b=o*1.6)-r*S(a)*S(b)),8,8))o=t/3%1,r=(1-o)*C(i)+3*o-4

May 30 2019 4:25 AM UTC

}// 138/140

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#torus #loop

u/katkip

#beesandbombs

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rodrigo.siqueira

function u(t) {

c.width|=0
for(i=4e3,w=960;i--;x.fillRect(w+w*X/Z,w*Y/Z,s=90/Z/Z,s))
X=C(t/5)*C(V=i+t)*3+C(U=i**6),
Y=C(U+t*2)*T(U+t)-2,
Z=S(V)-4+S(t)

May 17 2019 2:24 PM UTC

}// 134/140

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Swarm around the #torus

dwitter.net | #torus