# Mathematics and Aesthetics

1. May 22, 2004

### quddusaliquddus

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:

2. May 22, 2004

### Zurtex

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

$$e^{\pi i} + 1 = 0$$

Where e is the number such that:

$$\frac{d}{dx}{ \left( e^x \right) = e^x$$

$$e = \sum_{n=0}^{\infty} \frac{1}{n!} \approx 2.71281828$$

And i is:

$$i = \sqrt{-1}$$

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

3. May 22, 2004

### quddusaliquddus

Thanks for that.

4. May 22, 2004

### Zurtex

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

5. May 22, 2004

### quddusaliquddus

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?