I use the Golden Ratio in my daily life to design websites.
in alot of ways
You read about all the math related aspects of the golden ratio, and now you want to see it applied to real life, right? Well, you already know about various ways the golden ratio appears in real life, and you probably haven't even thought about it at all! ---- One of the first peoples to use the golden ratio in their art, architecture, and other aspects of daily life was the Egyptians. They called the golden ratio the "sacred ratio" and used it in their hieroglyphics and pyramids, as well as other monuments to the dead. ---- The sides of the Egyptian pyramids were golden triangles. Additionally, the three-four-five triangle is a golden ratio between the five unit side and the three unit side. The Egyptians considered this kind of right triangle extremely important and used it also in the pyramids. ---- ---- The Egyptian hieroglyphics also contained many proportions based on the golden ratio. The letter h, for example, is the golden spiral. Additionally, p and sh are created using golden rectangles ---- However, the use and occurance of the Golden Ratio in aesthetics doesn't end with the ancient Egyptians. It was used by the Pythagoreans, Greeks, Romans, and artists during the Renaissance. ---- The frequent appearance of the Golden Ratio in the arts over thousands of years presents us with an interesting question: Do we surround ourselves with the Golden Ratio because we find it aesthetically pleasing, or do we find it aesthetically pleasing because we are surrounded by it?In the 1930's, New York's Pratt Institute laid out rectangular frames of different proportions, and asked several hundred art students to choose which they found most pleasing. The winner? The one with Golden Ratio proportions.
3/4 = 9/12
the number of video games that suck (call of duty) to the number of kick-ass video games (battlefield 3)
The idea of the golden mean, also known as the golden ratio, was taught by the ancient Greek philosopher Aristotle. He believed that finding a balance between extremes was essential for living a virtuous and harmonious life.
an example of a ratio is the difference between two numbers or sets of numbers such as 600 and 200... the ratio is 400...
The golden ratio, approximately 1.618, can be found in various aspects of nature and art. It appears in the arrangement of leaves around a stem, the patterns of seeds in a sunflower, and the spirals of shells. In art and architecture, it is often used to create aesthetically pleasing compositions, as seen in the works of Leonardo da Vinci and the Parthenon. Additionally, the golden ratio can be observed in the proportions of human faces and bodies, contributing to perceptions of beauty.
I am not sure that it is essential to life.I am not sure that it is essential to life.I am not sure that it is essential to life.I am not sure that it is essential to life.
It's important because it is found (or appears to be) in so many areas of life, most notably in nature, and most importantly in mathematics. The Fibonacci sequence and the concept of fractals (like the infinitely divisible golden rectangle) are great examples of this. Ancient Egyptian and Greek architects built many of their structures with this ratio in mind. Philosophers see this ratio as having an important significance, since it occurs in nature so often. A lot of people believe that this formula, known as the golden ratio or phi (φ) pops up in everyday life. The truth is that it does not actually appear in the places it is said to. Many claims of its occurrence are false.
The "scale" of a drawing is its relation in size to the inspiration. So, for example, if you were drawing a picture of your friend, and it was half the size that she is in real life, the scale would be represented as a ratio of 1:2.
1:50,000 is a ratio. It means that 1 linear unit, (any linear unit) on the map is equivalent to 50,000 of those same units on the ground. In this case 1 cm on the map would be 50,000 cm on the ground. 1 inch on the map would be 50,000 inches on the ground. It does not matter which units you use as long as the same unit is used for both parts of the ratio.