Sunday, 17 October 2010

fibonacci sequence and pascal's triangle

The Fibonacci Sequence is an integer sequence which starts with 0, then 1 and from then on the numbers come as the sum of the previous two numbers. The sequence presents some interesting visual representations that can qualify as a visual representation of, 'thinking'. The sequence goes:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, etc.

It was realised that when Blaise Pascal's triangle was split in half and the numbers were followed down in a shallow diagonal, they summed to successive Fibonacci numbers. This too presents interesting visual qualities in representation of, 'thinking'.

Fibonacci Blocks

Fibonacci Spiral

Pascal's Triangle

Be seeing you!

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