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shellish

#trig#3d#interactive#animation#math#parametric

shell1

let a=3,k=10,m=0.2;
let b;
function setup(){
  createCanvas(600,600,WEBGL);
  noStroke()
  normalMaterial()
  b=a*(abs(exp(2*m*PI))-1)/(exp(2*m*PI)+1)*sqrt(1+k*k)
}
function draw(){
  
  background(255)
  t=frameCount/200
  orbitControl()
  shell1()
  
  
}

function shell1(){
  for(let v=0;v<2*PI;v+=0.1){
    for(let u= 0;u<9*PI;u+=0.1){
      x=(a+b*cos(v+t)*exp(m*u)*cos(u+t))+3*sin(t+u);
      y=(a+b*cos(v+t)*exp(m*u)*sin(u+t/2))+3*sin(t+u);
      z=(k*a*u/1.5+b*sin(v+t)*exp(m*u)+30*sin(t))
      push()
      translate(x,z,y)
      sphere(1,3,3)
      pop()
     
    }
    
  }
}