Exploring the Connection Between Mathematics and Aesthetics

• May 22, 2004

• #1

quddusaliquddus

354

2

Is there any relation between Mathematics and Aesthetics?

Are there more mathemtical relations/constants/ratios of Aesthetic etc... other than Golden ratio? ... if you know some please let us in on the secret ...

Is there proof of such things?

If the golden ratio proven? :uhh:

Are there explanations for these things? :tongue2:

 

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• May 22, 2004

• #2

Zurtex

Science Advisor

Homework Helper

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Aesthetics are a matter of opinion, one of the most famous equation in mathematics is:

[tex]e^{\pi i} + 1 = 0[/tex]

Where e is the number such that:

[tex]\frac{d}{dx}{ \left( e^x \right) = e^x[/tex]

[tex]e = \sum_{n=0}^{\infty} \frac{1}{n!} \approx 2.71281828[/tex]

And i is:

[tex]i = \sqrt{-1}[/tex]

This equation is known as Euler's equation (pronounced Oilers equation).

 

• May 22, 2004

• #3

quddusaliquddus

354

2

Thanks for that.

 

• May 22, 2004

• #4

Zurtex

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quddusaliquddus said:

Thanks for that.

I've always found proofs to be quite beautiful in mathematics as they are just a fundamental truth unlike proof in any other subject.

Other people find that mathematics tendency to appear frequently in nature to be quite stunning, with probably the Fibonacci spiral and numbers being a good example. Here are some random web pages on it:

http://mathworld.wolfram.com/FibonacciNumber.html

http://www.moonstar.com/~nedmay/chromat/fibonaci.htm

http://ccins.camosun.bc.ca/~jbritton/fibslide/jbfibslide.htm

 

Last edited by a moderator: May 1, 2017

• May 22, 2004

• #5

quddusaliquddus

354

2

Yes! Same here. I made a new thread a while ago that didn't get any responses in which I wanted to know all the different types of proofs there are in maths e.g. induction, by contradiction, etc... A list like that might be helpful for those engaged in maths proofs?

 

What is the relationship between mathematics and aesthetics?

Mathematics and aesthetics are closely related as both deal with patterns, symmetry, and structure. Mathematics provides a framework for understanding and describing beauty and aesthetics, while aesthetics provide a motivation for exploring new mathematical concepts.

How does mathematics play a role in art and design?

Mathematics is often used in art and design to create visually appealing compositions and patterns. Artists and designers use mathematical principles such as symmetry, geometry, and proportion to create balance and harmony in their work.

Can mathematics be considered a form of art?

Some people argue that mathematics can be considered a form of art due to its inherent beauty and creativity. Mathematicians often use aesthetic criteria, such as elegance and simplicity, to evaluate the quality of a mathematical proof or theory.

What is the golden ratio and how is it related to aesthetics?

The golden ratio is a mathematical ratio (1:1.618) that has been observed in nature and has been used by artists and designers to create aesthetically pleasing compositions. It is believed that the golden ratio is linked to human perception of beauty and has been used in art and architecture for centuries.

Are there any mathematical principles that can be applied to improve aesthetics in everyday life?

Yes, there are many mathematical principles that can be applied to improve aesthetics in everyday life. For example, the use of symmetry and proportion can make a room or a piece of furniture more visually appealing. Additionally, understanding color theory can help in creating harmonious color combinations in fashion or interior design.