Golden Ratio Examples in Architecture and Nature

You can find the ratio in the world around us, in nature, art and architecture, and even our bodies. The Golden ratio equals 1.618, and the ratio is a result of the Fibonacci Sequence, and when the consecutive number in the series is divided, they equal 1.618. You can use the ratio to find the right width and example of golden ratio in nature height that fits your logo and what proportions work well for the internal objects in the logo design. This characteristic of the Golden Ratio makes it special, and we can use it in arts and design, architecture, and website building (layouts, typography, etc) to design elements that appeal to human nature.

For example, a trader may observe the intersecting points in a combination of the Fibonacci arcs and resistances. Well, many things in nature have dimensional properties that adhere to the ratio of 1.618, so it seems to have a fundamental function for the building blocks of nature. In this sequence, each number is simply the sum of the two preceding numbers (1, 1, 2, 3, 5, 8, 13, etc.).

Sunflower seed head

Notre Dame de Paris, built between 1163 and 1250, seems to have golden ratio proportions in several major design aspects. Golden ratio can be seen in nature in golden spirals and golden pentagons. Likewise, golden symmetry can be found in abundance in the plant and animal worlds, both inside and outside. Plants can grow new cells in spirals, such as the pattern of seeds in this beautiful sunflower. The famous Fibonacci sequence has captivated mathematicians, artists, designers, and scientists for centuries.

Japanese artist Hokusai’s iconic ukiyo-e print The Great Wave off Kanagawa, made in 1831, is a more recent example of the golden ratio. While the wave may at first appear wild and spontaneous, closer examination reveals that Hokusai has in fact made a mathematically ordered design, in which a series of curved lines follow the golden ratio sequence. Thus Hokusai observes that even in its seemingly wildest moments, there is often pattern and structure underneath the forces of nature. Much like Da Vinci, the Italian Renaissance master Michelangelo was deeply fascinated by mathematics, and how ordered, rational proportions could be applied in order to create harmonious designs. In his Sistine Chapel ceiling scene, The Creation of Adam, many believe Michelangelo made use of the golden ratio in order to convey the wondrous creation of human life as outlined in the Bible. We see how a structural pattern pulls our eye from the curve of Adam’s body around towards God, closing in on his eye at its apex.

So, How Does the Golden Ratio Work?

These levels are commonly used by traders to identify potential profit taking levels. It is worth noting that the Fibonacci sequence is not the only mathematical concept that can be observed in nature, and other numbers and mathematical concepts can also be found in different phenomena and fields. Additionally, Fibonacci arcs and Fibonacci fan lines, which are drawn by first identifying key price points and then plotting arcs or fan lines based on Fibonacci ratios, are also used in technical analysis.

• The spiral happens naturally because each new cell is formed after a turn.
• This might be because the US as a nation, does not appear to excel in the subject of mathematics.
• Allegedly, the head forms a golden rectangle with the eyes as the midpoint, and the mouth and nose as golden sections of the distance between the eyes and the chin.
• The inner part of the ear of mammals — called the cochlea — carries sound through a golden tunnel.
• In fact, art that follows the Golden Ratio is often considered the most beautiful.

The number of petals in a flower consistently follows the Fibonacci sequence. Famous examples include the lily, which has three petals, buttercups, which have five, the chicory’s 21, the daisy’s 34, and so on. Fast forward to 1500 AD, Leonardo Da Vinci used the Golden mean or the Divine proportions, as was called during that era, in his artwork, e.g., in his ‘The Last Supper’ painting. For your infographics, if you want to create the main sidebar width of 667px, simply divide it by 1.618 to find the width of the sidebar that would suit that particular layout.

The branching patterns of trees and rivers

It’s also called the Greek letter Phi, Golden Mean, and Divine Proportion – after how much it’s found in nature. However, when we talk about design, the Golden ratio definition is to make organic or natural designs that are pleasing to look at with the proportions or elements being in harmony with each other. The association between the Fibonacci sequence and the golden ratio has intrigued mathematicians, artists, and scientists throughout history. It is worth noting that while the golden ratio and the Fibonacci sequence appear in nature and have aesthetic appeal, they are not the sole principles governing natural patterns.

The mouth and nose are each positioned at golden sections of the distance between the eyes and the bottom of the chin. Similar proportions can been seen from the side, and even the eye and ear itself (which follows along a spiral). Leaves, petals and seeds that grow according to the golden ratio will not shade, overcrowd or overgrow each other — creating a very efficient growth pattern to flourish. This growth pattern will also promote maximum exposure to falling rain for leaves, or insects for pollination in the case of flowers. The golden ratio is derived from a famous — and very simple — mathematical sequence called the Fibonacci sequence.

Who Invented the Golden Ratio and When?

If you measure the dimensions of the Parthenon’s exterior, you’ll discover that it not only forms a Golden Rectangle, but that there are also many Golden Rectangles between the columns. This sacred structure is a beautiful example of the Golden Ratio in architecture. The golden ratio is 1.618, represented by the Greek letter ‘phi’, is said to be is a mathematical connection between two aspects of an object.

The Golden spiral comes about when you multiply the horizontal side of a square by 1.618. In his textbook, Die rein Elementar Mathematik, he described Euclid’s “diving a line in the extreme and main ratio” theory as the “golden section”. It was called by a few other names before it was dubbed as ‘golden’ by Martin Ohm in the 1800s. The Golden ratio is a great tool to make images and objects more appealing. Fibonacci studies are not intended to provide the primary indications for timing the entry and exit of a position; however, the numbers are useful for estimating areas of support and resistance. Many people use combinations of Fibonacci studies to obtain a more accurate forecast.

Golden Spiral vs Fibonacci Spiral

It has also been said that the more closely our proportions adhere to phi, the more “attractive” those traits are perceived. As an example, the most “beautiful” smiles are those in which central incisors are 1.618 wider than the lateral incisors, which are 1.618 wider than canines, and so on. It’s quite possible that, from an evo-psych perspective, that we are primed to like physical forms that adhere to the golden ratio — a potential indicator of reproductive fitness and health. Each cone consists of a pair of spirals, each one spiraling upwards in opposing directions. The number of steps will almost always match a pair of consecutive Fibonacci numbers.

A Fibonacci spiral is made by creating a spiral of squares that increase in size by the numbers of the Fibonacci sequence. When we look at even more accurate examples of the golden ratio in nature, these patterns become even more awesome. The golden ratio has a lot of interesting properties when we look at it in nature. The Parthenon in Athens and Leonardo da Vinci’s Mona Lisa are regularly listed as examples of the golden ratio. Is it a coincidence that it shows up so often — particularly in places of beauty and intricacy?