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Fibonacci spiral composition11/3/2023 ![]() This is the name popularised by artists and sculptors who use the tool to achieve remarkably accurate proportion and aesthetic composition, and is what the concept is now referred to in common art theory. ![]() The Divine Proportion is now more than not represented by the “golden spiral”. Throughout history, however, it has been speculated that the golden ratio is prevalent in every aspect of our universe-from the natural growth pattern of the nautilus seashell to the pyramids of Egypt, and the musical compositions of Mozart and Beethoven. For example, some suggest that Leonardo deliberately used the Divine Proportion in almost every aspect of his work including such paintings as the Mona Lisa and The Last Supper. While knowledge of its existence has been confined to more specialized disciplines, it has slowly gained some mainstream recognition. Use of the Divine Proportion, Phi Grid and/or Golden Ratio is all around us. Divine Proportion, Phi Grid and/or Golden Ratio This moves the more important elements of your photo closer to the centre and creates a different and arguably more advanced version of a simple rule of thirds composition. But unlike the more popular rule of thirds, the centre lines in the Phi Grid are closer together. This “phi grid” divides your scene into thirds, both horizontally and vertically. Rectangles can be superimposed over an image in a grid based on the 1:1.618 ratio. The phi grid became the next iteration of this concept and is effectively another way to visualize the golden ratio. The ratio was so named because it was believed that Phidias made deliberate and intricate use of the Divine Proportion in much of his work, including the Athena Parthenos in Athens and the Statue of Zeus at Olympia. This number is also often referred to as “Phi’s number”, named after Phidias, a Greek sculptor who lived around 490–430 B.C. ![]() For example, if you take the length of a rectangle and divide it by its height and it equals 1.618, the rectangle is called a “golden rectangle” because the lengths of its sides are in the golden ratio. It is based on the ratio of one object to another as defined by the number 1.618. Given the renaissance artists’ penchant for making everything biblical, they gave the Fibonacci sequence and spiral a new name to fit in with their beliefs, the “Divine Proportion”. The Phi Grid and Divine Proportion Divine Proportion This spiral was found to appear within nature and life in countless places and became an essential tool for renaissance artists who wished to create natural curves and visually appealing compositions within their art. Artists then used this ratio to create the Fibonacci spiral, or golden spiral, a visual diagram which uses the Fibonacci numbers to create a grid with squares representing the width of Fibonacci numbers. The ratio of any two successive Fibonacci numbers is very close to the golden ratio, which is approximately 1.618034. Each number after this in the sequence is the sum of the two numbers that precede it, so the sequence goes: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, and so on. The sequence begins by adding 0 and 1, the first two numbers, together to get 1. It is a sequence of numbers that begins with 0 and 1 which the mathematician observed in day-to-day life. Leonardo Fibonacci discovered the Fibonacci sequence around the year 1200. “The Fibonacci spiral became an essential tool for renaissance artists who wished to create visually appealing compositions within their art.” The Fibonacci Sequence and the Golden Spiral Fibonacci Sequence This was also in thanks to the mathematical theory where the golden ratio is based – the Fibonacci sequence. Renaissance artists began calling it the “golden ratio” or the “divine proportion” because of its ability to achieve balance and beauty. ![]() We can visualize it in almost every aspect of life, from the human body to famous works of art, and everything in between.Īlthough the mathematical concept it derives from existed independently of humankind long before recorded history, artists started using it as a basis for compositions in the 1500s. The golden ratio is very interesting because it isn’t inherently unique to photography.
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