048 Fibonacci Sequence

A sequence of numbers that form patterns commonly found in nature.

• A Fibonacci sequence is a sequence of numbers in which each number is the sum of the two preceding numbers (e.g., 1, 1, 2, 3, 5, 8, 13…).

• Patterns exhibiting the sequence are commonly found in nature, such as flower petals, spirals of galaxies, and bones in the human hand, and as such, are conjectured to represent proportions with universal appeal.

• The division of any two adjacent numbers in a Fibonacci sequence yields an approximation of the golden ratio. Approximations are rough for early numbers in the sequence but increasingly accurate as the sequence progresses.

• Consider Fibonacci sequences when developing compositions, geometric patterns, and organic motifs, especially when they involve rhythms and harmonies among multiple elements.

See Also Golden Ratio • Self-Similarity • Wabi-Sabi

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Le Corbusier derived two Fibonacci sequences based on key features of the human form to create the Modulor, a model used to optimize spaces for humans.

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