Day 37: Heart of Mathematics

Last time: the Beauty of Fractals
Today:
- How can we prove that the "Sierpinski dust" has zero area?
- 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
  - I.18
  - I.19
- The Cantor Set and Square (I.20,II.1,II.2)
- Other problems for the section:
  - III.5
Next time: Risky Business

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