The Golden Ratio: Phi, 1.618

Pascal’s Triangle

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The Fibonacci Series is found in Pascal’s Triangle.

Pascal’s Triangle, developed by the French Mathematician Blaise Pascal, is formed by starting with an apex of 1.  Every number below in the triangle is the sum of the two numbers diagonally above it to the left and the right, with positions outside the triangle counting as zero.

The numbers on diagonals of the triangle add to the Fibonacci series, as shown below.

Fibonacci numbers found in Pascal's Triangle

Pascal’s triangle has many unusual properties and a variety of uses:

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