# EXERCISE 3.16: RHYTHM

Research and critically analyse Fibonacci, the Golden Ratio, Mandelbrot spirals and any other spatial ratios you can discover. A simplification of the golden ratio is the Rule of Thirds or 2:3, in which space is divided into two thirds, the larger portion housing the elements that define the main use, leaving the final third for a secondary function. From architecture to nature, look around for the presence of these rules and record them, then also identify when they have been broken with examples of the beauty of randomness and the impact of ugly. You could create a collection of photos that are annotated and drawn over to show the rules and/or broken rules. critically reflect on your findings and make notes in your learning log.

The Golden Ratio is derived from the Fibonacci sequence, named after its Italian founder, Leonardo Fibonacci. In the sequence, each number is simply the sum of the two preceding numbers (1, 1, 2, 3, 5, 8, 13, etc.).

• It describes predictable patterns on everything from atoms to huge stars in the sky. Nature uses this ratio to maintain balance.

The essential part is the quotient of the adjacent number that possess an amazing proportion, roughly 1.618, or its inverse 0.618

In the image above we can see that the plant grows in spiral so that new leaves don’t block the sun from older leaves, or so that the maximum amount of rain or gets directed down to the roots, in fact, when a plant has spirals the rotation tends to be a fraction made with two successive (one after the other) Fibonacci Numbers.

Also this video helped me understand what Fibonacci numbers are all about. This video could also be helpful to learn how to draw the base of a spiral stair in a perfect way. I attached the link for any other students who might want to learn this ratio in a very simple way. ➡️https://youtu.be/8A3JnWzgXGk