Day 34 in Mat115

Today:

• Return problems

• Questions/Comments on old stuff?

• Section 6.3: The Infinitely Detailed Beauty of Fractals:
  • What is the area of the "Sierpinski dust"?

  • Is there any "straight line" left in problem I.9? We started with a line segment, and began to break it into shorter line segments: is there any identifiable line segment left after we're carried this process out "forever"?

  • The Chaos game - generating fractals using random movement!

    Once again, simple rules lead to complex objects. This time, however, we don't proceed methodically, but rather haphazardly - and yet we still produce the complex images!

    • with 10 points
    • with 100 points
    • with 500 points
    • with 1000 points

  • The Cantor Set and Square (I.20,II.1,II.2)

  • Other problems for the section:
    • I.18
    • I.19
    • III.5