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Monday, September 28, 2020

The Beauty of Mathematical Simplicity | Art/Geometry - Medium

 One of the universal laws of nature is the law of the least rate of energy expenditure, argues Waldo Otis, Medium. 

Photo: Steve Johnson from Pexels

For example, the light emitted from point A chooses the path that requires the least amount of energy among the infinite number of routes to go to point B, which is often also the fastest.

If points A and B are in the air, the light follows the AB line, because the AB line is the way light will reach point B as quickly as possible, with the least amount of energy expended. If point A is in the air and point B is in the water, the light refracts at some point to go from A to B. It is because the light goes faster in the air and slows down in the water. That’s why the light wants to stay in the air as much as possible...

In literature, painting, architecture, mathematics, wherever it is, unnecessary chaos is not pleasant; it only wears us out. Simplicity spells “pleasant” for our senses, and it is more effective. In the literature, for example, if a sentence is sufficient to explain a thought, a feeling, an event, a situation, the second sentence should not exist if it’s not needed. We should avoid unnecessary long sentences. If a single word is used in that perfect place and is well selected, it can function as a whole page...

It is not easy to achieve simplicity and beauty. If it was, everyone could be an artist. Picasso has a series of lithographs; The Bull. Successively, all was done within a few days. In the first lithography, we see a realistic bull with all the details. The second lithography has less detail, and there are four-five lines left on the last lithography. This last lithography is so simple that it makes you say, “I could do it too,” like most people do when they see one of Picasso’s “simple” paintings. I understand those people very well, and I even think that they are right, and in these words, they say with childish naivety.

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Source: Medium