By definition, the first two Fibonacci numbers are 0 and 1, and each subsequent number is the sum of the previous two. So: 1, 1, 2, 3, 5, 8, 13, etc. Le Corbusier was one of the persons using this sequence in his designs and system of architectural ratios.
And we find paterns in nature that follow this sequence, like a flowerleaf, the spirals of the milkyway and the ratio of human hand bones. But the Fibonacci sequence is used a lot as well in classical works, poetry, architecture, art and music. We find them in the sonatas of Mozart and the Fifth Symphony of Beethoven.
As said, Le Corbusier used the sequence to harmonise the most important human sizes in order to come to his Modulor. That is a classical system of architectural ratio's and sizes that is use till the day of today by many architects and designers, as a tool for practical and harmonic designs.
The Fibonacci sequence is named after Leonardo of Pisa, who was known as Fibonacci. Fibonacci's 1202 book Liber Abaci introduced the sequence to Western European mathematics. It is not clear who first invented the sequence. When Fibonacci was 20 years old, he went to Algeria where he studied Indian and Arabic math, maybe there he learned about the sequence.
Design Tips
The Fibonacci sequence is still one of the most influencial paterns in mathematic and design. You could use the sequence when developing interesting compositions, geometrical paterns and organic motives and contexts. Do not try to force the sequence in your design, but if you have a chance of using it without your design being compromised on other aspects, then use it.
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