New #hyperbolic 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

Please log in (or register) to post a dweet (copy-paste the code somewhere safe to save it meanwhile)


    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: #ScaryMovies

show FPS hide FPS share fullscreen

rodrigo.siqueira

function u(t) {

for(c.width=w=i=2e3;i--;)
X=S(i*i),Y=S(i),ℵ=C(Math.atan2(X,Y)-t)*Math.hypot(X,Y),
K=w/2,x.fillRect(w*ℵ/(Z=4+C(t)+X*X-Y*Y)+K,w+K*(ℵ-6)/Z,7,8)

Jun 26 2019 7:01 PM UTC

}// 140/140

Please log in (or register) to post as a new dweet (copy-paste code somewhere safe to save it meanwhile).

The Hyperbolic Paraboloid (z=x²-y²). The S(i*i) and S(i) are random number generators between -1 and +1. The atan2 and hypot are used to calculate 3d object rotation (Euler equations could also be used, as seen on /d/12086). Thanks to u/cantelope for the Tiny 3D Engine Tutorials: https://cantelope.org/tiny_3D/ and https://cantelope.org/3D/ #math #hypot #D3 #hyperbolic #surface

u/cantelope

:D
u/rodrigo.siqueira

There is an interesting fact that the Pringles potato chips are a truncated hyperbolic paraboloid. The strength of the shape helps to prevent them from breaking while stacked. The curvature of the shape improves resistance to tension and compression forces. Remember this next time you eat a hyperbolic paraboloid.

show FPS hide FPS share fullscreen

f8f82804

remix of d/11754 by u/f8f82804

function u(t) {

for(c.width^=0,i=223;i--;x.lineTo(X/d+960,Y/d-960))d=Math.hypot(X=S(ϕ=i&1?2.7:.7)*S(θ=i*1.5-t/2),Y=C(ϕ)/.8+3,C(θ)*S(ϕ)+5)/3e3;x.stroke();

Jan 14 2019 6:40 PM UTC

}// 137/140

Please log in (or register) to post as a new dweet (copy-paste code somewhere safe to save it meanwhile).

#d3 #hyperbolic #tower #model in a #perspective #projection using #hypot

u/f8f82804

#hyperboloid
u/metamero

#moire
u/f8f82804

This dweet is still based on the spherical model it was remixed from, so all the points we generate are still on the surface of a sphere! The trick is judiciously connecting them with lines.
u/f8f82804

#fullhd

show FPS hide FPS share 1 remix fullscreen

f8f82804

remix of d/11753 by u/f8f82804

function u(t) {

for(i=c.width^=0;i--;x.lineTo(X/d+960,Y/d-960))d=Math.hypot(X=S(ϕ=i/612)*S(θ=i*95**.1-t/2),Y=C(ϕ)/.8+3,C(θ)*S(ϕ)+5)/3e3;x.stroke();

Jan 12 2019 12:17 AM UTC

}// 131/140

Please log in (or register) to post as a new dweet (copy-paste code somewhere safe to save it meanwhile).

building a #hyperbolic #surface by connecting points on a #sphere with lines, rendered with a #d3 #perspective #projection using #hypot

You've reached the end.

dwitter.net | #hyperbolic