Abstract

Symmetry: Culture and Science
Volume 35, Number 3, pages 323-326 (2024)
https://doi.org/10.26830/symmetry_2024_3_323

FIBONACCI NUMBERS AND SYMMETRY IN TAI-CHI MOTIONS

Matthew He

Nova Southeastern University, Florida USA.
Email: hem@nova.edu

1. FIBONACCI NUMBERS, GROWTH AND DEVELOPMENT

In mathematics, the Fibonacci number is a sequence of numbers in which the sum of the two preceding ones. The number sequence commonly starts from 0 and 1, although some authors start the sequence from 1 and 1 or sometimes (as did Fibonacci) from 1 and 2. Starting from 0 and 1, the sequence follows as 0, 1, 1, 2, 3, 5, 8, 13, ... The Fibonacci numbers were first described in Indian mathematics as early as 200 BC in work by Pingala on enumerating possible patterns of Sanskrit poetry formed from syllables of two lengths. They are named after the Italian mathematician Leonardo of Pisa, also known as Fibonacci, who introduced the sequence to Western European mathematics in his 1202 book Liber Abaci, The Book of Calculation. Fibonacci numbers are strongly related to the golden ratio. A tiling with squares whose side lengths are successive Fibonacci numbers 0. 1, 1, 2, 3, 5, 8, 13, and 21 as Fibonacci spiral.Applications of Fibonacci numbers include the Fibonacci search technique and the Fibonacci heap data structure, and Fibonacci cubes used for interconnecting parallel and distributed systems. They also appear in biological settings branching in trees, the arrangement of leaves on a stem, the fruit sprouts of a pineapple, the flowering of an artichoke, and many other species. Surprisingly Fibonacci numbers 0, 1, 1, 2, 3, 5, 8, 13 are also hidden inside Tai-Chi motion thoughts...