CS141: Topics for April 14, 16, & 18, 2014

• Labs
  • Begin Lab 8: The Mandelbrot Set.

• Topics (see lab):

  • While loops and Do-While loops
    • Convert the following to a 1) while loop and 2) a do-while loop

      for (int n=100; n >=0; n=n-10){
         println("n="+n);
       }

    • Write a while-loop which "tosses a coin" and counts up how many heads and tails are obtained. The loop stops when the number of heads or tails reaches 5. When done, convert it to a do-while loop.
  • Map function
  • Iteration
    Example: Roots of polynomials: polynomiagraphy, also see course intro

• Mandelbrot Set

  • Wiki: Mandelbrot Set z_n+1 = z_n² + c, z₀ = 0, c = current point in complex plane.
  • Wiki: Julia Set z_n+1 = z_n² + c, c = a constant in the complex number, z₀ = current point in complex plane.
  • Sekino's Fractal Gallery
  • Introduction to the Mandelbrot Set
  • YouTube: Benoit Mandelbrot - Hunting the Hidden Dimension Nova (2008)
  • Ted Talk on YouTube: Benoit Mandelbrot: Fractals and the art of roughness

• Origami and Math:

  • Between the Folds, on YouTube