## October 6 2006 Math Newsletter

Here's the latest article from the Math site at BellaOnline.com.

Fibonacci Numbering Sequence
The wonder of the Fibonacci numbering sequence, or Golden Ratio, is all around us; You just need to know where to look. Includes a link to Fibonacci activities and puzzles.

http://www.bellaonline.com/articles/art46452.asp

Our puzzle today is related to the Fibonacci article above.

If we want to build a brick wall out of the usual size of brick which has a length twice as long as its height, and if our wall is to be two units tall, we can make our wall in a number of patterns, depending on how long we want it:
walls of lengths 1,2,3 There's just one wall pattern which is 1 unit wide - made by putting the brick on its end.

There are 2 patterns for a wall of length 2: two side-ways bricks laid on top of each other and two bricks long-ways up put next to each other.
There are three patterns for walls of length 3.
How many patterns can you find for a wall of length 4?
How may different patterns are there for a wall of length 5?

Look at the number of patterns you have found for a wall of length 1, 2, 3, 4 and 5. Does anything seem familiar?
Can you find a reason for this?

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Please visit math.bellaonline.com for even more great content about Math. To participate in free, fun online discussions, this site has a community forum all about Math located here -

http://forums.bellaonline.com/postlist.php?Cat=0&Board=391

I hope to hear from you sometime soon, either in the forum or in response to this email message. I thrive on your feedback!

Have fun passing this message along to family and friends, because we all love free knowledge!

Amy Daniels, Math Editor
http://math.bellaonline.com

One of hundreds of sites at BellaOnline.com

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