// Prompt from list 1: Try implement the random walk known as a Levy Flight.

// Declare variables to store the current position and step size

let position;

let stepSize;

​

function setup() {

  // Create a canvas

  createCanvas(400, 400);

  background(220);

​

  // Initialize the starting position within the canvas boundaries

  position = createVector(random(width), random(height));

​

  // Initialize the initial step size within a range to control speed

  stepSize = random(5, 20); // Adjust this range for different speeds

}

​

function draw() {

  // Draw a point at the current position

  stroke(0);

  strokeWeight(2);

  point(position.x, position.y);

​

  // Levy Flight: Generate a random angle and magnitude for the step

  let angle = random(TWO_PI); // Random angle between 0 and 2*PI

  let magnitude = random(1, 100); // Random magnitude for the step

​

  // Calculate the new position based on the step's direction and magnitude

  let newPosition = createVector(

    position.x + cos(angle) * stepSize,

    position.y + sin(angle) * stepSize

  );

​

  // Constrain the new position to stay within the canvas boundaries

  newPosition.x = constrain(newPosition.x, 0, width);

  newPosition.y = constrain(newPosition.y, 0, height);

​

  // Draw a line from the current position to the new position

  line(position.x, position.y, newPosition.x, newPosition.y);

​

  // Update the position to the new position

  position = newPosition;

​

  // Occasionally change the step size with a probability of 10%

  if (random(1) < 0.1) {

    stepSize = random(5, 20); // Change step size to a new random value for variation

  }

}

​