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Reaction about the history of mathematics
History of mathematicians
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The Golden Ratio The golden ratio has interesting proportions of line segments (question 1), as the rule to have a golden ratio is having two lines, one larger then the other on the same plane, but together they have a specific length, this is explained in the golden ratio equation. The golden rectangle( question 2) is formed by always making two sides of a rectangle phi or the Greek letter used in the golden ratio, the other two sides can be any same length. There is evidence (question 3) to suggest that the golden ratio and rectangle are beautiful, German psychologist Gustav Fechnar of the 19th century did a test on hundreds of people by showing them different types of rectangles. He asked these people which rectangle was more or less visually pleasing. In the end 75% of the people that were asked the question sided with the rectangles that were closer to the golden rectangle. The logarithmic spiral (question 4) is explained by studying the Fibonacci sequence and golden ratio together. The Fibonacci sequence (question 5) basically explains multiplication of numbers through an equation. When these numbers multiply enough they in turn become closer to the golden ratio. A logarithmic spiral (question 4 again) is created by, as the Math textbook says, is when individuals have a golden rectange golden rectangle and “split each…rectangle [and] connect opposite corners of all the squares with a smooth curve.” That is how a logarithmic spiral is formed. The Fibonacci sequence and the golden ratio connect because, as the sequence goes farther out, it gets closer to the golden ratio until it hits it very closely. In nature, we can see the Fibonacci sequence and golden ratios come to pass, this is shown in different types of flowers. Many... ... middle of paper ... ...as if its one of the secrets to the building blocks of the universe, there may be more ideas or concepts gained through and newer, even better possibilities of philosophy and mathematics can unfold from it. On Wikipedia it explains “one Egyptian pyramid is remarkably close to a "golden pyramid"—the Great Pyramid of Giza”, no one truly knows if the Egyptians meant to make the pyramids using the golden section in mind or not, but it is interesting that they were so close which might hint that they knew something about it. Its interesting that there is a debate of whether they knew these mathematical concepts or not, as listed there is even continuing debate on the matter today. I like how it remains a mystery, but I think that they indeed knew something about the golden ratio because of how these pyramids were made, the sides are just too proportionate to each other.