What we did.

Test (50 minutes)

Following the test, we discussed the following topics:

• Suppose we have two rectangles of the same area but different shape. How can we cut one up and reassemble the pieces to cover the other? How much cutting is required? (We could measure cutting by the total length of all the cuts. Or we could measure it by the number of pieces into which we cut the rectangle. Or we could measure it by the number of corners in the cut. And there may be other ways.
• Consider the case of a 1-by-2 rectangle and a square of area 2. (See a similar problem, here.)
• We discussed the proof by contradiction in exercise 1.5.3.

Homework

• For Monday March 6: Read Chapter 3.
• Hand in Monday March 6: Problem sets 3.2 and 3.3.