# Mathematics paper cover design

1. Nov 3, 2016

### curious mind 111

hello, a bit of topic. we're having an exhibition at my university to display outstanding papers. my paper was about my passion for mathematics. I am seeking some ideas to make visitors want to read my paper. I dont want something too childish. I was thinking of making a string model of some equation or possibly fibbonacci sequence, but I didnt find anything on the web. Or maybe i do a painting as the back

2. Nov 3, 2016

3. Nov 3, 2016

### curious mind 111

Thank you for your reply :) My paper is entitled "a passion for numbers" it's about, well, my passion for math. so i was thinking of making a fibonacci spiral with thread or maybe something else but of mathematical significance. something beautiful and artistic.

4. Nov 3, 2016

### Staff: Mentor

The mathematical equivalence to $E = m\cdot c^2$ is Euler's identity
$$e^{i \pi} = -1$$
And here is something funny I once found:
$$2^n+7^n+8^n+18^n+19^n+24^n=3^n+4^n+12^n+14^n+22^n+23^n \text{ for } n =0,1,...,5$$

5. Nov 3, 2016

### Jonathan Scott

Try fractals, in particular a "Julia Set".

6. Nov 3, 2016

### Staff: Mentor

I personally like this formula involving the Fibonacci sequence and two other sequences:
$$\sum_{n\in\mathbb{N}}\frac{F_n}{n}\cdot\frac{L_n}{n}\cdot\frac{1}{(n+1)C_n} = \frac{(2\pi)^2}{\sqrt{5}^5}$$
where $F_n$ is the Fibonacci sequence, $L_n$ the Lucas sequence and $C_n$ the Catalan sequence. You will find their definitions, e.g. on Wikipedia.

7. Nov 3, 2016

### curious mind 111

Thanks for the great ideas. I'll keep u updated on what i settle on.
Best