Wednesday, November 7, 2007

Patterns and Inverse patterns

Last time we had fun with pattern.


Many patterns do have an inverse pattern.

For example the pattern (1,4) (2,6) (3,8), (4,10).... We found last class the crystallization of the pattern that was the formula (x,2*x+2)
The inverse pattern has some pairs like (4,1), (6,2) (8,3) (10,4) but this is not a complete picture. How do we complete? Why?
(1,__), (2,__),(3,__) (4,1),(5,___), (6,2).... How do we find that pattern?

Would you be interested to explore it further? We created from shapes last time 3 patterns where the above one was the first. How about finding inverse patterns for the other two patterns: I think the second one is very difficult yet not beyond your mind and if you want I can explain to those who are interested. The third one is medium difficulty. How about using the patterns from last time also?

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