Sunday, October 7, 2007

POW2: Paving Patterns

What have people tried?

The POW recommends starting with shorter paths...and looking for patterns.

What tools could help us see patterns?

Mr. Marti

13 comments:

  1. I used a shorter paths,and found a pattern, and used that pattern to find all the possibilities in 2-inch by 20-inch.

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  2. I drew out up to 10 blocks long and haven't really found a definite pattern yet. Maybe I'm doing it wrong...

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  3. Looking at this problem i drew different ways that the stones could be placed and i am still struggling with it.

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  4. Out of curiosity, how many patterns did you find for a 2x4 path?

    2x5?

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  5. I don't know if I did it wrong, but I for the 2X4 I got 4 patterns. For 2X5 I got, 7 patterns.

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  6. So basically i've tried drawing it over and over and i can't seem to find a pattern...this is hard & i don't know how else to approach the problem..

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  7. Does anyone agree or disagree with allison's results?

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  8. so i've been working on this for almost 2 days and i'm still confused. anytips?

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  9. I so dont think im doing this right, hopefully i can write it well cuz woooooo

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  10. I drew all of the patterns that I could think of from 2x1 to 2x5, and then attempted to use the pattern I found for 2x20. It worked!

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  11. Why dont you all take a good look at the Fibonacci sequence and see if that helps

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  12. Great idea. I think that It may be helpful. My colleague had also used Fibonacci sequence. He has also drew lots of pattern like 2 by 1 or 8.

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