V: So, using mathematics to describe and better understand our perception of beauty in nature is not only an interesting endeavour, but one that can help us create beautiful and sustainable designs based on nature. Imagine a solar panel having the same design as the arrangement of leaves in a Fibonacci sequence. Not only would that be visually awesome, it could provide an answer to using solar panels as a main source of energy. Mathematics and nature is all around us, so putting them together in design would make something incredible.
A: Although we have discussed at length about mathematics, and how it is beautiful, our high school education does not teach actual mathematics. Our learning consists of arithmetic and computational math. So what right do we have to talk about mathematics and its beauty? Does experience with mathematics influence perception of beauty? Show picture of nature and picture of mathematical formula Ask class which is beautiful, and which is easier to perceive as beautiful.
V: There is much beauty in nature, and we can all recognize it without any mathematical training.
Mathematical beauty, however, may only be appreciated if one is familiar with its language and if one has enough experience and knowledge to identify it. A: There was a time when my uncle challenged me with a math problem. I fumbled through with it but I gave him the correct answer. My uncle being well-versed in math traced through my steps and laughed. He then gave me a much shorter, less complex method to solve the problem.
The kind that seems obvious once presented to you.
My uncle’s experience enabled him to solve the math problem elegantly, while with less experience in mathematics, I could only stagger through with a correct, but clumsier solution. V: My experience with mathematics has been limited to the curriculum the provincial government has outlined for our schooling. I’ve only associated mathematics with repeated applications of equations and formulas plus long stuffy lessons, which all adds up to boredom. I can’t find beauty in something I don’t understand that well through my limited education, and not in something I don’t feel much for.
My experience with mathematics was hampered by my education in computational math, so finding beauty in pure or applied mathematics comes much harder for me. Does the use of mathematics as a language represented by symbols affect perception of mathematical beauty? A: When mathematics is represented by symbols, it affects enormously whether we can see it as beautiful. The shorter and more efficient a formula, the better. This makes symbols and signs a much better alternative than verbose words and phrases. They are a mathematician’s best friend. A: However, to the average person, the symbols prove to be more of a headache than a source of joy.
Average people are more connected to the images of trees, grass, and animals because they are in physical world. Therefore, when the mathematics of the physical world is presented in the the way of symbols, the average person is out of their depth. However, when the mathematics is presented visually as in nature, the average person is more connected and therefore, can find the beauty more easily. V: Mathematics is a universal language. I think one of its merits is that someone from any country is able to learn this language, proficiently or not, because it relies not on any grammar that is based on lengthy words and grammatical fillers.
You won’t find the mathematical equivalent of the article “the” in any equation, because it adds unnecessary baggage. This makes it easier to learn, with universal rules, unlike the English language’s weird exceptions like beige and eight. A: It would probably easier to learn: (x + 1)(x – 1) = x^2 – 1 than: The sum of any number plus one multiplied by the difference of the same number minus one equals the difference of the square of the number minus one. V: Even so, these statements are both correct. But as you can see, one is more easy on the eyes, so to say, and more easy to understand.
I think of the two statements, the former is more beautiful because it is visually more appealing, and represents the concept more accessibly. A: Now we have to think, is beauty represented by truth in mathematics? Does mathematics have truth when it corresponds to phenomena that we perceive in nature? Or does mathematics have truth when it coheres to a designed structure of definitions and axioms? A: With natural sciences, we use perception to see, hear, or touch something in the physical world, and use those observations to provide evidence and get closer to the truth.