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November 23, 2019## 1, 1, 2, 3: It's Fibonacci Day!

Today's date, November 23, can be represented as 11/23, or 1, 1, 2, 3—the beginning of the Fibonacci sequence of numbers. Likewise, as the leaves on the Queen Victoria agave in today's image spiral out from the center, they also express the Fibonacci sequence. This unique sequence of numbers was introduced to Europe in 1202 by the Italian mathematician Leonardo of Pisa (posthumously named Fibonacci) in his revolutionary work, the 'Liber Abaci.' The book begins by describing the Hindu-Arabic numeral system or 'Modus Indorum’—0 1 2 3 4 5 6 7 8 9—and shows how its application could simplify trade and make calculations faster and easier (most of Europe at this time used Roman numerals).

In the third section of his book, Fibonacci goes on to describe various mathematical problems, including a thought experiment about increasing rabbit populations that results in the Fibonacci sequence. The sequence is determined by adding the previous two numbers together to establish the next number: 1, 1, 2, 3, 5, 8, 13, 21, 34, etc. Since then, mathematicians, scientists, and artists have been studying and applying the Fibonacci sequence and the Fibonacci numbers that make it up. While Fibonacci gets the credit for describing the number sequence, he wasn't the first to discover it. Research published in 1985 posits that ancient Indian mathematicians had been aware of and wrote about the sequence more than a thousand years before Fibonacci's work.## 當日報價

—Shakuntala Devi?Without mathematics, there's nothing you can do. Everything around you is mathematics. Everything around you is numbers.?## 繼續探索

## Fibonacci number - Wikipedia

In mathematics, the Fibonacci numbers, commonly denoted Fn form a sequence, called the Fibonacci sequence, such that each number is the sum of the two preceding ones, starting from 0 and 1. That is, and for n > 1. One has F2 = 1.

In some books, and particularly in old ones, F0, the "0" is omitted, and the Fibonacci sequence starts with F1 = F2 = 1. The beginning of the sequence is thus:

Fibonacci numbers are strongly related to the golden ratio: Binet's formula expresses the nth Fibonacci number in terms of n and the golden ratio, and implies that the ratio of two consecutive Fibona…In some books, and particularly in old ones, F0, the "0" is omitted, and the Fibonacci sequence starts with F1 = F2 = 1. The beginning of the sequence is thus:

Fibonacci numbers are strongly related to the golden ratio: Binet's formula expresses the nth Fibonacci number in terms of n and the golden ratio, and implies that the ratio of two consecutive Fibonacci numbers tends to the golden ratio as n increases.

Fibonacci numbers are named after Italian mathematician Leonardo of Pisa, later known as Fibonacci. They appear to have first arisen as early as 200 BC in work by Pingala on enumerating possible patterns of poetry formed from syllables of two lengths. In his 1202 book Liber Abaci, Fibonacci introduced the sequence to Western European mathematics, although the sequence had been described earlier in Indian mathematics.

Fibonacci numbers appear unexpectedly often in mathematics, so much so that there is an entire journal dedicated to their study, the Fibonacci Quarterly. Applications of Fibonacci numbers include computer algorithms such as the Fibonacci search technique and the Fibonacci heap data structure, and graphs called Fibonacci cubes used for interconnecting parallel and distributed systems.

They also appear in biological settings, such as branching in trees, the arrangement of leaves on a stem, the fruit sprouts of a pineapple, the flowering of an artichoke, an uncurling fern and the arrangement of a pine cone

在 Wikipedia 上閱讀更多信息Wikipedia · CC-BY-SA 許可下的文字## Fibonacci Sequence - Math Is Fun

- Fibonacci series名詞
**Fibonacci numbers**(復數名詞)- a series of numbers in which each number (Fibonacci number) is the sum of the two preceding numbers. The simplest is the series 1, 1, 2, 3, 5, 8, etc.

更多信息Fibonacci series將 Fibonacci series 翻譯為找不到翻譯。Powered by Oxford Dictionaries · 必應在線翻譯 - People also ask
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## Fibonacci - Wikipedia

Fibonacci was an Italian mathematician from the Republic of Pisa, considered to be "the most talented Western mathematician of the Middle Ages".

The name he is commonly called, Fibonacci, was made up in 1838 by the Franco-Italian historian Guillaume Libri and is short for filius Bonacci ("son of Bonacci"). He is also known as Leonardo Bonacci, Leonardo of Pisa, or Leonardo Bigollo Pisano ("Leonardo the Traveller from Pisa").Wikipedia · CC-BY-SA 許可下的文字## THE FIBONACCI SEQUENCE, SPIRALS AND THE GOLDEN MEAN

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