8/14/2023 0 Comments Golden ratio numbersIt represented the real mystical key in the arts and sciences, so much so as to be defined as “divine proportion”. So it was that the golden proportion became very popular among the artists and mathematicians of the time. In this series, each number is the result of the sum of the previous two: 0, 1, 1, 2, 3, 5, 8, 13, 21 … to infinity. Later, in the Renaissance, the Italian mathematician Leonardo Pisano (called Fibonacci) created the famous sequence of numbers related to it that bears his name. The golden ratio had such a fascination for Greek culture that architects and sculptors made it their canon of perfection, beauty and harmony. Due to this peculiarity, it has been applied in various areas and has allowed us to create unexpected links between apparently distant disciplines: botany, physics, zoology, architecture, painting and music, also with mystical-esoteric values. The golden ratio is so much present in the physical reality to define the whole universe, it can be considered, for good reasons, the mathematical representation of life. It contains many algebraic and geometric properties that have always attracted the interest of many scholars, in remote and recent times. They don’t look right if I don’t follow the sequence.Who among us has never heard of the golden ratio? We speak of a mathematical constant, the number 1.618, produced by a formulation of Euclid and indicated with the lowercase Greek letter φ (phi). Not sure I can manage the sunflower centre mind you, but roses and general flowers I will. I intend to always consciously try to use these numbers on my sculptures. I have been studying Quantum Physics for a while now. You can read about how the golden ratio has been discovered in the quantum world here. This golden ratio is even found in Quantum Physics. I have long been facincated with nature and physics. Nature is truly mind-blowing, and how maths and science can be entwined. There are plenty of examples in the food we eat, pineapples, artichokes, and pine cones, apples, bananas, lettuce, cauliflower, Broccoli, the list goes on. The spiral happens naturally because each new cell is formed after a turn. Sunflowers grow patterns of seeds in a spiral shape. Daisy can often be found with 21, 34, 55 and 89.Examples of Flowers using the Fibonacci Numbers The golden ratio appears in the relationship of the intervals or distance between the notes. Some of Mozarts famous sonatas use this golden number. There is talk on whoever built the Great Pyramids of Egypt used these foundations of mathematics and geometry. They proportioned their work to approximate the golden ratio as they believed it was aesthetically pleasing. It has also been used by artists and architects, including Le Corbusier and Dalí. The golden ratio is found in all sorts of nature including shells, flowers, trees, faces, hurricanes, animals, and even spiral galaxies! Oddly Phi appears as each petal is placed at 0.618034 per turn (out of a 360° circle) which is allowing for the best possible exposure to sunlight. The numbers of petals in many flowers (not all) follow the Fibonacci sequence. Phi is usually rounded off to 1.618 and this is a common number throughout nature. The golden ratio is a special number found by dividing a line into two parts so that the longer part divided by the smaller part is also equal to the whole length divided by the longer part.Īs with pi (the ratio of the circumference of a circle to its diameter), the digits go on and on, theoretically into infinity. ![]() ![]() Interesting as you go to higher numbers in the sequence, the ratio of two successive numbers approaches the golden ratio. It just looks best when using these numbers. If you count the rows of petals on my Angel Rose you can see the first row has 2, then 3, then 5, then 8. It just always looks more aesthetically pleasing. Now I have developed the rose further for larger roses and the rows of petals always fall into these numbers below.
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