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POLYMATH

H T A E

MAGAZINE

R M U T A N . N I

E L B I S S O IS P

Representation of Mathematics in Nature Spot Math in Nature

ISSUE 1 | VOLUME 1 MARCH 2022

Mathematics is everywhere

ABOUT THE ARTICLE

The teachers always say that mathematics is all around us. I didn't believe it until high school and then again in college. I used to think it was just their way of getting us to enjoy, learn, and love math as much as they do. Did you know that there is mathematics in nature? Keep reading and we'll show you how. Mathematics in Nature is a science and math unit that allows students to discover and gain knowledge about mathematical patterns found in nature. In this article, we'll look at five mathematical representations found in nature that you probably haven't seen before. You're probably sick of hearing that we need to learn and improve our math skills; we are, too... But, of course, we will share some of our knowledge as we create this magazine. I hate to say it, but mathematics can indeed be found everywhere.

PolyMath is a new publication in town. The editors and researchers of this magazine will publish articles about mathematics in our daily lives. The goals of this magazine are to discover and share information that you haven't heard before.

ABOUT THE MAGAZINE

CONTENT 01 03 05 06

ABOUT THE ARTICLE AND ABOUT THE MAGAZINE

08

EDITOR'S LETTER GOLDEN RATIO IN NATURE, ARCHITECTURE, AND ART FIBONACCI SEQUENCE IN NATURE

12

07

09 13

SYMMETRY IN NATURE GEOMETRY IN NATURE PATTERN IN NATURE SPOT MATHEMATICS IN NATURE

FROM THE EDITOR AND RESEARCHER

February 21. 2020 Dear reader, First and foremost, we'd like to thank you for taking the time to read our publication. PolyMath magazine is all about imparting wisdom and realities about the various math that can be found in nature that you may be unaware of. If you are interested in this topic, we hope you find our content to be both educational and entertaining. In this article, we will discover the five representations of math in nature, how to spot mathematics in nature, and the benefits of mathematics in our world. Math art in nature is one type of art that helps to convey a message to the public in a unique and raw way. We sincerely hope you will continue to support our publication. Until the next issue!

" THE BOOK OF NATURE IS WRITTEN IN THE LANGUAGE OF MATH " GALILEO GALILEI

WHAT IS GOLDEN RATIO? The golden ratio appears in a variety of mathematical contexts. It is geometrically constructible with a straightedge and compass and appears in the study of Archimedean and platonic solids. The golden ratio can also be found in nature, architecture, humans, and almost anywhere else. If the ratio of two portions is the same as the ratio of the overall portions and the larger segment, the portions are said to be in the golden ratio. Euclid, a Greek mathematician, pioneered this.

Golden Ratio in ARCHITECTURE Nobody knows for certain when or where the Golden Ratio first appeared in civilization. The Great Pyramid of Giza, near Cairo, Egypt, is the oldest example discovered. This pyramid, built around 2560 BCE, is the largest and oldest of the three pyramids in the Giza Necropolis. Hemiunu, the pyramid's architect, may have used dimensions that yield the golden ratio for the structure's aesthetic beauty; however, it could also have been a result of chance. Nobody knows for certain. Archaeologists have studied everything there is to study about this pyramid over the years, including the measurements of the outside dimensions. (Posamentier & Lehmann, 2012).

The next appearance of this magnificent ratio in history is in the works of Phidias, the Greek sculptor responsible for the construction of the Parthenon in Athens in the 5th century BCE. The Golden Ratio is said to be reflected in his design for the building and the sculptures found within it. Posamentier and Lehmann (2012) show that the Parthenon "fits nicely into a golden rectangle —that is, a rectangle with the quotient of the sides equal to the golden ratio" (p. 45).

Golden Ratio in NATURE The world appears to be a well-organized physical realm bound by mathematical laws, rather than a jumbled, chaotic, and unpredictable one. Such breathtaking and logarithmic phenomena are common in nature, and they all stem from the same mathematical concepts. The golden ratio is linked to the Fibonacci sequence, which is known as the natural numbering system of the universe. The golden ratio can be found all over nature, most notably in seashells, ocean waves, plants, and even storms!

Golden Ratio in ART

Leonardo da Vinci was one of the famous artists who popularized the golden ratio. He drew a man's body with measurements that are close to the golden ratio. The Vitruvian Man is depicted with his arms and legs spread apart in two superimposed positions, it is inscribed within a circle and a square that are tangent at one point at the bottom of the portrait. Posamentier and Lehmann (2012)

Another example of the golden ratio in art is the Mona Lisa. Many books claim that if a rectangle is drawn around the face of the Mona Lisa, the height to width ratio of that rectangle equals the 'Golden Ratio.' However, there is no documentation that Leonardo consciously used the 'Golden Ratio' in the composition of the Louvre's 'Mona Lisa,' nor where the rectangle should be drawn precisely.

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