Fibonacci sequence

FIBONACCI

SEQUENCE

Mathematical works: Liber Abaci

Liber Abaci is a historic book about arithmetic written by Fibonacci, it was among the first Western books to describe the

Hindu–Arabic numeral system and to use symbols resembling modern "Arabic numerals". By addressing the applications of both commercial tradesmen and mathematicians, it promoted the superiority of the system, and the use of these numbers. The book also introduced Europe to the Fibonacci sequence, which is why the sequence is named after Leonardo Fibonacci.

FIBONACCi

Source:- https://en.wikipedia.org/wiki/Fibonacci_sequence

Introduction

Fun Facts!

Fibonacci Sequence In Art

Leonardo Fibonacci, also known as Leonardo Pisano, also known as Leonardo of Pisa is the man who introduced and spread the Fibonacci sequence, thus, the sequence was named after him.The Fibonacci sequence is a sequence where each number of the sequence is the sum of the 2 preceding ones, the numbers in the Fibonacci sequence are called Fibonacci numbers.

1. He Was Forgotten for 400 Years. ...

2. He Did Not Invent the Fibonacci Sequence.

3. Liber Abaci Wasn't Translated into English Until 2002.

4. here Is an Association Dedicated to the Fibonacci Numbers.

Mathematical Works: Golden Ratio

One way artists can use the Fibonacci sequence is by creating compositions that follow this golden ratio, which is a proportion of 1.618. This proportion is found in many natural objects, such as seashells, flowers, and even human faces. To use the golden ratio in your artwork, you can divide your canvas or paper into sections that follow the ratio of 1:1.6. This can create a sense of balance and harmony in your composition. Source: Kristen O'Neill Art

Source:- https://www.britannica.com/biography/Fibonacci

Putting it as simply as we can , the Golden Ratio also known as the Golden Section, Golden Mean, Divine Proportion or Greek letter Phi exists when a line is divided into two parts and the longer part (x) divided by the smaller part (y) is equal to the sum of (x) + (y) divided by (x), which both equal 1.618.

Activity

There are 3 hidden fraction questions in this slideshow, did you find all of them, if so, what are their answers?

Fibonacci Sequence In Architeture

Life of Fibonacci

Not a lot is known about Fibonacci’s life beyond the few facts given in his mathematical writings. When Fibonacci was young, his father, Guglielmo, a Pisan merchant, was appointed consul over the community of Pisan merchants in the North African port of Bugia now Bejaïa, Algeria. Fibonacci was sent to study calculation with an Arab master. He later went to Egypt, Syria, Greece, Sicily, and Provence, where he studied different numerical systems and methods of calculation.

Since the Renaissance, countless artists and architects have used the principles of the Fibonacci sequence to proportion their works to approximate the golden ratio, with the perception that this proportion is aesthetically pleasing depending on its harmony, proportion, and mathematics. Source: Square Three Architecture

Fibonacci Sequence In Music

THE END

An octave on the piano consists of 13 notes: 8 white keys and 5 black keys. A scale consists of 8 notes, of which the 3rd and 5th notes make up a basic chord. In a scale, the dominant note is the 5th note, which is also the 8th note of all 13 notes that make up the octave. Source: Lancaster University