var cnt =-12;//x-value and counter for each polynomial
var a=1,t=0,tmp =1,x1=-12,y1= -12;//initialize variables
function setup() {
  createCanvas(400, 400); //create the canvas
  background(255); //black background
  strokeWeight(0.4);//thin lines
  fill(255,40);//transparent fill
}

function draw() {
  translate(width/2,width/2) //translate the canvas for (0,0)middle
  push();
  rotate(t);//rotate canvas with each polynomial
  oldx = x1;//save previous x
  oldy = y1;//save previous y
  x1 = cnt; //set x to counter
  y1 = (a*pow((x1),tmp)) //Polynomial using tmp as power
  if(y1>-200 && y1 <200){ //only draw circles if it is on the canvas
    if ((tmp % 2 )== 0){//condition for even function
        stroke(230,100,20);//color for even
    }
    if ((tmp % 2 )== 1){//condition for odd function
        stroke(20,60,90);//color for odd
    }
    line(x1*15,y1,oldx*15,oldy) //draw line from previous point to the next
    circle(x1*15,y1,x1*10)//draw a circle for a points on the polynomial
    }
    cnt=cnt+0.2; //increase counter for x
    if (cnt>12){//condition to draw the next polynomial
      newPoly();// function to change coefficients
    }
  pop()
}
function newPoly(){
  a = random(-5,5)//change a
  cnt = -12;//reset cnt
  t = t+1; //increment rotation
  x1=-12,y1= -12//reset initial x and y values
  tmp=round(random(1,5));
}