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In mathematics, the [[Fibonacci]] numbers or Fibonacci sequence are the numbers in the following integer sequence: 1, | In mathematics, the [[Fibonacci]] numbers or Fibonacci sequence are the numbers in the following integer sequence: 1,1,2,3,5,8,13,21,34,55,89,144... | ||
If we sum the squares of any series of [[Fibonacci]] numbers, they will equal the last Fibonacci number used in the series times the next Fibonacci number. This property results in the Fibonacci spiral, based on the following progression and properties of the Fibonacci series.The Fibonacci spiral gets closer and closer to a Golden Spiral as it increases in size because of the ratio of each number in the Fibonacci series to the one before it converges on [[Phi]], 1.618, as the series progresses. | If we sum the squares of any series of [[Fibonacci]] numbers, they will equal the last Fibonacci number used in the series times the next Fibonacci number. This property results in the Fibonacci spiral, based on the following progression and properties of the Fibonacci series.The Fibonacci spiral gets closer and closer to a Golden Spiral as it increases in size because of the ratio of each number in the Fibonacci series to the one before it converges on [[Phi]], 1.618, as the series progresses. |