Mathematics in design,- the Fibonacci sequence


If you are a designer or artist, you have most likely heard of the golden ratio or golden spiral, but you may not be aware of the mathematics that hides behind it.

The Fibonacci sequence is a series of numbers found by adding up the two previous numbers. You can find this sequence everywhere in nature, such as in sunflowers, cabbage, snails, the galaxy and even the human body.

If you start with 1, the second number will be 1 (0+1). The third number will be 2 (1+1), the fourth 3 (1+2), 5 (3+2), 8 (3+5), 13 (5+8), 21(8+13) and so on. You can start with any number, so if you start with 50, the sequence will be 50 – 50 -100 – 150 – 250 – 400 – 650 – 1050


Now for the fun part, if you divide the last number with the previous one, you will get 1,62, which is the number you may know as the golden ratio.

Adding boxes by one sequence increment with a 1,62 rotation will draw a golden spiral, which is also how the sunflower grows.

Examples of the presence of Archimedes spiral and Fibonacci numbers in nature.

Try to make one yourself

Sources: mathsisfun.com, researchgate.net

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