Fibonacci

Fibonacci

Fibonacci is a sequence of numbers in which each number is the sum of the two preceding ones, usually starting with 0 and 1. Named after the Italian mathematician Leonardo Fibonacci, who introduced the sequence to Western European mathematics in his 1202 book Liber Abaci, the Fibonacci sequence has captivated mathematicians, scientists, and artists for centuries. The sequence begins as 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, and so on, with each number being the sum of the two numbers before it. As the sequence progresses, the ratio of each successive pair of numbers increasingly approximates the golden ratio, which is approximately 1.618. This unique relationship has led to the Fibonacci sequence being observed in various natural phenomena, such as the spiral arrangement of leaves on plants, the branching patterns of trees, and the proportions of the human body. The Fibonacci sequence and its connection to the golden ratio have also been used in art, architecture, and design to create aesthetically pleasing compositions and structures. In mathematics, the Fibonacci sequence has been studied extensively, leading to the development of Fibonacci numbers, which have applications in computer algorithms, cryptography, and financial modeling. The sequence's properties and relationships continue to be a subject of fascination and research in various fields, highlighting its enduring significance in mathematics and beyond.

Fibonacci sequence, golden ratio, Liber Abaci, spiral, natural phenomena, aesthetics, composition, computer algorithms, cryptography

— John Armstrong

CITATION : "John Armstrong. 'Fibonacci.' Design+Encyclopedia. https://design-encyclopedia.com/define/fibonacci?E=432573 (Accessed on October 14, 2026)"