My question is how can I make the ellipse following the spiral space?

See more:

coding-challenge

Hello everyone, I'm doing a university project and I want to make a spiral with an ellipse to start following the space in between the spiral from the center until the end of the spiral and then to start doing the same automatically. So my question is how can I make the ellipse following the spiral space? This is my code so far:

float time;

void setup()
{
size(900,850);
background(#FFFFFF);
stroke(#000203);
smooth();
time=3;
}

void draw()
{
translate(width/2,height/2);
strokeWeight(4);

beginShape();
for(int t=0;t<205;t++)
{
curveVertex((t*2)*sin(t/4.0),(t*2)*cos(t/4.0));
}
endShape();

ellipse(47/2,42/2,35,35);
}
PVector spiral(float t){
return new PVector(t*2*sin(t/4.0),t*cos(t/4.0));
} 

What I have tried:

I've tried to put ellipse into PVector spiral code and also to change the values into ellipse by putting the values from curveVertex