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Showing posts from November, 2023

The Fibonacci sequence

 The Fibonacci sequence is a series of numbers that starts with 0 and 1, and each subsequent number is the sum of the previous two. For example, 0, 1, 1, 2, 3, 5, 8, 13, 21, and so on 1 . This sequence has many interesting properties and applications in mathematics, art, and nature. One of the most fascinating aspects of the Fibonacci sequence is how often it appears in the natural world. Many plants, animals, and phenomena exhibit patterns or shapes that follow the Fibonacci sequence or are related to the golden ratio, which is the limit of the ratio of consecutive Fibonacci numbers as the sequence goes to infinity 2 . The golden ratio is approximately equal to 1.618 2 . Some examples of the Fibonacci sequence in nature are: The spiral pattern of seeds in a sunflower or the scales of a pineapple. These spirals follow the Fibonacci sequence in both directions: clockwise and counterclockwise. For instance, a typical sunflower has 55 spirals in one direction and 89 in the other; both are