![]() Whether we realize it or not, humans can’t help but find objects that conform to Phi as intrinsically beautiful. Like many things in nature, there is an interesting subconscious attraction to the pattern. ![]() ![]() And in applying their skill and their gifts, they got very close to what can be mathematically proven. But most of them just had an eye for beautiful proportions. Did the artist explicitly think about Phi and the mathematics behind it when they created their masterpieces? Did they get out a ruler to measure off perfect golden rectangles? Possibly some did. ![]() When analyzing classic works of design, architecture, or fine art, it’s essential to keep this in mind. Does the Rule of Thirds help photographers create more captivating images? It does.ĭoes it have to be applied perfectly every time? No, you can get great results and beautiful photos by using it as a starting point and modifying it as you see fit. It creates roughly the same result while being easier to apply in the field or on the go. In this same vein, it has often been claimed that the Rule of Thirds in photography is a simplification of Phi. And yet, we can still find them appealing and beautiful. Things in nature and works of art are seldom perfect. They are still studied and admired today.Īs artists, we can understand. And regardless of whether or not the math is perfect, these works have stood the test of time. Close enough to make people wonder and to convince the casual bystander. These works may not make the mathematicians happy, but the numbers are pretty darn close. While this is only speculation, it does seem to be a pedantic and academic argument. This is true from ancient pyramids and famous buildings from ancient Greece to the Mona Lisa and other artworks by the masters. When the spirals of a nautilus shell are measured, their ratio to one another is not exactly 1.618.įamous pieces of artwork and architecture fail to stand up to careful study as well. One of the most common arguments against the importance of Phi is that, while Phi can be applied to many things in nature, careful analysis shows that it is seldom mathematically perfect. The larger the numbers, the more accurate the results become. The first numbers of the sequence are 0, 1, 1, 2, 3, 5, 8, 13, 21, etc.įurthermore, when two successive numbers of the Fibonacci sequence are divided, their ratio is very nearly Phi. This mathematical pattern shows numbers that are added together to make the next number. The Ratio is also closely related to the Fibonacci sequence. It has been studied and refined for two and a half millennia. The Ratio was first described by the ancient Greek mathematicians Phidias, Plato, and Euclid, as early as c. In math, the number is referred to by the Greek letter φ or Phi. It’s approximate because it is an irrational number that continues with an infinite number of decimal places. To benefit the algebraically disinclined, let’s keep it simple. But designers, artists, and photographers aren’t usually high-level mathematicians. There is a lot of math behind how the Golden Ratio is calculated. If you’d like some real-world tips on how to use it to make your work better, look no further. Precisely what is Golden Ratio composition, and can it really be applied to design and photography? As artists, should we use the Ratio, or should we ignore it? The good news is that it’s easy to apply and can indeed make your works more captivating and beautiful. And there are plenty of websites that can tell you more than you ever wanted to know. Perhaps you saw the movie The DaVinci Code and learned about it. Maybe you were introduced to it in school, in mathematics, art, or design class. Chances are, you’ve heard of the Golden Ratio.
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