Problem Statement

A Polyspiral is a spiral made of multiple line segments, whereby each segment is larger (or smaller) than the previous one by a given amount. Each segment also changes direction at a given angle.

Animate a series of polyspirals, by drawing a complete spiral then incrementing the angle, and (after clearing the background) drawing the next, and so on. Every spiral will be a frame of the animation. The animation may stop as it goes full circle or continue indefinitely. The given input values may be varied. If animation is not practical in your programming environment, you may show a single frame instead.

Let's start with the solution:

//Aamrun, 2nd July 2022

int incr = 0, angle, i, length;
float x,y,x1,y1;
double factor = PI/180;
  

void setup() {
  size(1000, 1000);
  stroke(255);

}

void draw() {
    background(51);
    incr = (incr + 5)%360; 
 
    x = width/2;
    y = height/2;
 
    length = 5;
    angle = incr;
 
    for(i=1;i<=150;i++){
      x1 = x + (float)(length*Math.cos(factor*angle));
      y1 = y + (float)(length*Math.sin(factor*angle));
      line(x,y,x1,y1);
 
      length += 3;
 
      angle = (angle + incr)%360;
 
      x = x1;
      y = y1;
  }
}