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Transcript

The Fibonacci sequence

and the golden ratio

INTRODUCTION

The Fibonacci spiral

The golden ratio

THE GOLDEN RATIO

Vitruvian Man

SUMMARY

Summary

Where does the fibonacci sequence come from ?

1st

What is the link with the golden ratio ?

2nd

Where can we find the fibonacci sequence?

3rd

LEONARDO PISANO

(FIBONACCI)

LEONARDO

FIBONACCI

Tower of Pisa

FIBONACCI'S ADVANCES

Arabic numerotation

MATHEMATICAL

ADVANCES

Square root

THE GOLDEN

RATIO

Phi, the golden mean

THE GOLDEN RATIO

Phidias

TEMPLES

TRACES OF THE GOLDEN MEAN

The Parthenon

Cheops Pyramid

EUCLID

EUCLID OF ALEXANDRIA

Euclid Elements

MATHEMATICAL APPLICATIONS

MATHEMATICAL

APPLICATIONS

The golden triangle

GOLDEN

RECTANGLE

THE GOLDEN RECTANGLE

Fibonacci's flamingos: https://www.maths-et-tiques.fr/telech/fmfibo.mp4

FIBONACCI'S RABBITS

NATURAL APPLCATIONS

IN LIVING BEINGS

Fibonacci sequence in nature

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