may 3
- We finish the three different coins puzzle (how to order them with fewest weighings on a scale)
- We'll work on the Nim game: what is the best possible strategy? Who wins if one starts with 100 stones?
- Vectors! we will add more than one vector; and see what kind of configurations sum up to zero...
- We play more of the "pick a symbol" game...
- Time permitting, we'll talk about splitting the payment for rice bowl...
Homework!
- We established the pattern of whether the person wins or loses facing a pile in the Nim game - one wins if the pile has 1 or 2 or 4 or 5 stones; loses with 3 or 6...
| 1 |
2 |
3 |
4 |
5 |
6 |
7 |
... |
... |
99 |
100 |
| W |
W |
L |
W |
W |
L |
W |
... |
... |
? |
? |
Can you say what happens when you have a pile of 99 stones? of 100?
- Roman numerals strike again: Find CIX+LXXI-XL=?
- Split into three equal shapes:
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