Day 14: Heart of Mathematics

Today:
- Return tests
  - Add 5 to your score (out of 100)
  - Mean: 75; High: 97
  - Some problems:
    - Problem 1: Almost everyone skipped it
    - Problem 2: I told you this one would be on there....
    - Problem 3: Weird pool news: "Questionable Judgments: Steven Newell was hospitalized in London, Ontario, in June after his large plastic swimming pool, which he had just placed on his second-floor balcony and then filled with water, caused the balcony to collapse and plunge to the ground. The pool, 8 feet in diameter and filled with water as it was to a height of 20 inches, would require about 640 gallons, weighing more than two-and-a-half tons. Newell had relocated the pool to the balcony in order to avoid the safety requirement of building a fence around it."
    - Problem 12
- Collect homework 3.2 (sorry, I don't have 3.1 graded yet).
- Note: on Wednesday, you have another project due date: a one-page summary, with several references (try to include at least one non-internet reference!).
- What does this line from Amazing Grace's sixth stanza have to do with class?
  
  When we've been here ten thousand years...
  bright shining as the sun.
  We've no less days to sing God's praise...
  than when we've first begun.
  
  John Newton 1725-1807 (stanza 6 Anon); here's the interesting story of the author, a slave trader.
- "The Sexiest Rectangle" - or is it just cute? The Golden Section in Art and Architecture
  - Note on the rectangle contest, page 234: what's wrong with squares?
  - or not? Many people think that if you look hard enough, you'll find them - or any rectangles you're particularly interested in!
  - Interestingly, one of the canvasses by Turner claimed to show the Golden Rectangle is of "Slavers Throwing Overboard the Dead and Dying" -- so much for Amazing Grace!
- What sizes do U.S. flags come in? (How about Togolese Flags?)
- How to construct a golden rectangle (use a credit card?)
- How to construct a logarithmic spiral (see this site, partially wacko....)
Next time: 4.4: symmetry and tilings

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