Day 09: Heart of Mathematics

Last Time

Next Time

Announcements:
- Reminder: Our first exam will be: Fri, 2/12
- Return of Estimation homework
  - Great job overall -- the best I've ever had!
  - Biggest problem:
    - No bounds
    - or "easy" bounds -- you need to work for them!
    - Watch the units....
- New assignment:
  Mon 2/1 Golden Ratios/Rectangles/Spirals
  
  Read 4.5: Platonic Solids
  No new problem assignments
Today:
- Section 4.3: the sexiest rectangle
  - We started with a nice set of rectangles, created using squares of Fibonacci-length sides
  - We noticed something about the ratio of the side lengths -- what was it?
  - If we did this "forever", what would be true of the rectangles from one step to the next?
    - They'd look exactly the same. This is "the sexiest rectangle"....
    - Derivation of the golden mean, or golden ratio
  - "The Sexiest Rectangle" - or is it just cute?
  - Note on the rectangle contest, page 233: what's wrong with squares?!
  - The Golden Section in Art and Architecture
    or not? Many people think that if you look hard enough, you'll find them - or any rectangles you're particularly interested in!
    The Parthenon
  - What sizes do U.S. flags come in? (How about Togolese Flags?)
  - Where might you find a golden rectangle? (Hint: what's in your wallet?)
  - How might you use the golden rectangle to make life more interesting?
- Next up: Platonic Solids

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