# Fibonacci, Golden ratio and Architecture

One of the goals is to have a design that is clear and understandable. Architects create designs that showcased well-organized, balanced, and easily absorbed by the users to have a better experience of the space. To do this, architects find inspiration from nature and its ingenuity. We saw beautiful patterns with good proportion and balance in nature, and these patterns are of the golden ratio and the Fibonacci sequence. A golden ratio is a tool that often overlooks. The golden ratio is a mathematical ratio that we can see in beautiful proportion in our designs and nature. Aside from the golden ratio, the Fibonacci sequence is an occurring pattern in nature, from petals and seashells to galaxies, that architects and designers can use in their designs.

We can trace back the theory of the golden ratio to the time of Pi. Throughout the years, philosophers, scientists, architects, and designers have an eye for it. For architecture and design, we are in awe to saw pleasing designs of living space and structures, from the Parthenon in Greece and the Pyramids of Egypt. Architects use the ratio to create better proportion and balance of structural elements in their designs. We can associate the popularity of the golden ratio surge due to our association with it as godly and natural. It enables the space to be aesthetically appealing.

The Fibonacci sequence is a genuine natural miracle. It is as if a grand designer orchestrating things to be proportionate, balance, and aesthetically pleasing. Many called it the secret code of nature. No matter how we look at it, the sequence is nature itself. When we adopt it to our design, we can have a living space, which metaphorically has living space in one with nature. A Fibonacci spiral is a series of linked circles drawn inside an array of squares with sizes that follow the Fibonacci sequence. One brilliant example is the sunflower with its seeds produce and migrates out to fill a seemingly endless spiral pattern. Snail shells, the spiders' web, and the cochlea in our inner ear align with the golden ratio and resonates with the Fibonacci sequence. Even ourselves adhere to it. A fetus formation adheres to the golden ratio as well as the proportion in our body.

We may know that the sequence begins with 1 and 1. We then complete the series by adding the previous number. We get 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144 and so on until infinity. The Fibonacci sequence and the golden ratio are inextricably linked. That every two numbers in succession, when we divide it, gets closer and closer to the golden ratio, which is 1.618. Artists and architects like Leonardo Da Vinci, Salvador Dali, and Le Corbusier proportioned their work near the golden ratio; hence it is aesthetically pleasing.

Gustav Theodore Fechner proves how aesthetically appealing the golden ratio. He conducted an experiment where he let people chose between a square with a 1:1 dimension and a long rectangle with 2.5:1 dimensions, which approximate the golden ratio. The majority chose the rectangle as more appealing than the square. Adrian Brian reveals that our eyes' layout allows us to receive and understand stimuli with the golden ratio proportion. Maybe, it is why our mobile phone is at a 3:2 ratio or our HDTV displays at a 16:9.

As I stated earlier, it was a favorite among artists and architects to achieve that natural proportion and balance. Villa La Rotonda of Palladio used it while Le Corbusier had it in Modulor I and II, which he depicts the golden ratio in his composition and drawings. The 1:.618 occurs in nature and artificial structures repeatedly, from the shape of the universe and our bodies to beautiful architectural masterpieces. Several people used it beyond mathematics, in arts, architecture, design, and even music. With these several applications, it is not surprising that it is one of the fundamental principles in architecture and design.

Our architecture today will no be profound if we didn't take some architectural wisdom from the past. Phi, another representation of the golden ratio, influenced how our structure looks today. It is still debatable how far in the past that our ancestors used the golden ratio, but we can all agree that people used the golden ratio as far back as ancient Egypt in building the pyramids. We can vividly see the utilization of phi in architectural icons such as the Parthenon, Notre-Dame Cathedral in Laon, and the Taj Mahal.

We like building and living spaces that are well-balanced. We saw everyday modern architectural marvels, and we are in awe of how well the architect designed it. But there are times that we feel space is less functional than the conventional ones. Maybe, there is space that is overdesign and is more of the forced aesthetics but lacks balance. Architects and designers can give a balanced space by using the golden triangle as the basis of proportion in the design or the Fibonacci spiral to make the seemingly continuous curve, which is pleasing.

In designing spaces, we prefer to have overall connectivity between areas. It should have seemingly free flow between functional spaces. While building our houses, it is natural for us to choose to have a dining room adjacent to the kitchen while a playroom away from the home office or library. The proportion of these spaces can be anchored to the golden ratio, enabling us to feel the living space as cohesive and functional. We can establish how to space out windows and how we locate a door in a room to be aesthetically appealing using the golden ratio. Above all, we can use the golden ratio to give space connectivity.

To sum up, we can use the golden ratio and the Fibonacci sequence in numerous and diverse ways, which we can find in nature or blend with art and architectural masterpieces. Architects and designers used the golden ratio to balance and choose the right proportion for the façade and the spaces in a building. The golden ratio and the Fibonacci sequence are more than the math. It is as if it exists to knew how to create a grand design.

1. Krishnendra Shekhawa, Why golden rectangle is used so often by architects: A mathematical approach, Science Direct

2. Esther Sughito, Does the golden ratio exist in architecture?, Medium

Photo Credit: Rachel Myers, Christo Anestev, Simon, and Mattana-Mattis

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Fib retracement one of my best chart indicator.. a sell or buy signal..

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I agree Fibonacci retracement is a good chart indicator.

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That's some interest subject indeed, Reminded me of my hardships faced during learning about golden ratio in college LOL! But it indeed turned out to be fruitful due to it's varied applications in design.
Thanks for bringing such intellectual topic and it's insights.

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This mathematical concept is indeed helpful in modelling system and designing spaces. !PIZZA

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Dear @juecoree, Your imagination and writing skills are great!
By the way, I think the Fibonacci sequence was first born in Italy in the 13th century!
Often based on the Fibonacci sequence, there is a tendency to praise the perfection and beauty of the golden ratio.
However, I think the golden ratio theory was created by the Italians of the Renaissance!

The golden ratio cannot be applied precisely because it is an irrational number.

https://eusci.org.uk/2020/07/29/myth-busting-the-golden-ratio/

The golden ratio theory is a theory that cannot be realized in reality!
My guess is that Renaissance Italians created the golden ratio theory to fantasize the mysteries of ancient civilizations!

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The concept started in Italy and flourish through the Renaissance. People are fascinated due to our quest to have perfection. !PIZZA

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