Sunday, January 29, 2012

1.61803444782168...

Phi (~1.61803...) is an extremely fascinating number. What other number is one less than its square and one more than its reciprocal?


The golden spiral can be created by making adjacent squares of Fibonacci dimensions. For instance, the square to the left has each side measuring 21 units, the square in the bottom right has a side of 13 units, the top right is an 8 unit by 8 unit square. The top middle square;s sides are 5 units each, and so forth. The entire rectangle below measures 21 by 34 units, representing the golden rectangle.

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