![]() ![]() Turning to botany, the authors demonstrate, through illustrative diagrams, the unbelievable connections between Fibonacci numbers and natural forms (pineapples, sunflowers, and daisies are just a few examples). They begin with a brief history of a distinguished Italian discoverer, who, among other accomplishments, was responsible for popularizing the use of Arabic numerals in the West. With admirable clarity, two veteran math educators take us on a fascinating tour of the many ramifications of the Fibonacci numbers. All of which is astounding evidence for the deep mathematical basis of the natural world. Far from being just a curiosity, this sequence recurs in structures found throughout nature – from the arrangement of whorls on a pinecone to the branches of certain plant stems. In this simple pattern beginning with two ones, each succeeding number is the sum of the two numbers immediately preceding it (1, 1, 2, 3, 5, 8, 13, 21, ad infinitum). The most ubiquitous, and perhaps the most intriguing, number pattern in mathematics is the Fibonacci sequence. Thanks for watching! Remember to speed up the video when necessary! Self-similarity and algorithms are explained, and it is suggested that viewers draw their fractals and find different fractals and meanders in the world around them.This is a YouTube Video, based on my earlier post on Fibonacci Numbers and the Mysterious Golden Ratio! ![]()
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