You may have seen images that look like this before:
This is a visual representation of the golden ratio (also known as the divine proportion). The golden ratio is defined by this formula and is represented by the Greek letter Phi.
This value is approximately 1.618, which is also an irrational solution to the quadratic x² - x - 1. Something is said to be in the golden ratio when the following is true: the sum of the quantities divided by the larger quantity = approximately 1.618.
Fun Fact: taking the ratio of any 2 successive Fibonacci numbers is also close to 1.618.
Going back to the first image, you can see how each larger rectangle is cut up like so:
Why is this important?
You may have seen the golden ratio most commonly in the context of design and photography. However, it is also often found in nature, making it pleasing to the eye. Proportions of the human body, nautilus shells, tree leaves, and pine cones are all naturally occurring examples of this ratio.
Therefore, humans have been able to utilize the golden ratio in many different contexts. Such as choosing the ratio of your title size to paragraph size in an article, cropping an image to fit the spiral, graphic design/logo creation, architectural design, paintings, and even in music.
Therefore, humans have been able to utilize the golden ratio in many different contexts. Such as choosing the ratio of your title size to paragraph size in an article, cropping an image to fit the spiral, graphic design/logo creation, architectural design, paintings, and even in music.
Works Cited
(No date) Golden ratio: A beginner’s guide | adobe. Available at: https://www.adobe.com/creativecloud/design/discover/golden-ratio.html (Accessed: 29 May 2024).
Admin (2021) Golden Ratio - definition, formula and derivation, BYJUS. Available at: https://byjus.com/maths/golden-ratio/ (Accessed: 29 May 2024).
Caldwell, M. (2022) The golden ratio in Everyday Life, Mathnasium. Available at: https://www.mathnasium.com/math-centers/westcaldwell/news/golden-ratio-everyday-life-wc (Accessed: 29 May 2024).
The Golden Ratio - what it is and how to use it in Design (no date) The Golden Ratio - What it is and How to Use it in Design. Available at: https://www.invisionapp.com/inside-design/golden-ratio-designers/ (Accessed: 29 May 2024).
留言