Day 13: Mat115

Last time: More infinity; Pythagorean Theorem

Next time: Section 4.3

Today:
- Homework 3.1 returned -- Sorry, don't have that graded yet.
- Homework 3.2 due
- Project idea (one page typed) and partner choice due
- The Pythagorean Theorem
  - Proof of the Pythagorean Theorem
    - How can we use our cutout to prove it?
- A View of an Art Gallery
  - We look at art galleries in the shape of polygonal closed curves.
    - vertices are the corners of the closed curve.
    - Suppose that the cameras can see everything along a line of sight from the vertex (but not through walls):
      How many camera are needed in general to secure the art?
    - What's the simplest polygonal closed curve?
    - Step it up.... what's the next simplest?
    - Mindscapes:
      - #9, p. 228 (divide and conquer)
      - #3, p. 228
      - #11, p. 229 -- are there equal numbers of each color?

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