### Art and Science

On browsing the Serpentine Gallery of equations one can find the predictable Einstein equations and Standard Model actions, but my favourite was by Neil Gershenfeld: Other beauties include A = A, habitable planets and of course Dyson on the tau function. This last item is really cool: Dyson rediscovered for himself the identity

$\tau (n) = \sum \frac{(a - b)(a - c)(a - d)(a - e)(b - c)(b - d)(b - e)(c - d)(c - e)(d - e)}{1!2!3!4!}$

where $a,b,c,d,e$ are all possible numbers (respectively) equal to $1,2,3,4,5$ mod 5, satisfying

$a + b + c + d + e = 0$

$a^2 + b^2 + c^2 + d^2 + e^2 = 10n$

$\tau (n) = \sum \frac{(a - b)(a - c)(a - d)(a - e)(b - c)(b - d)(b - e)(c - d)(c - e)(d - e)}{1!2!3!4!}$

where $a,b,c,d,e$ are all possible numbers (respectively) equal to $1,2,3,4,5$ mod 5, satisfying

$a + b + c + d + e = 0$

$a^2 + b^2 + c^2 + d^2 + e^2 = 10n$

## 6 Comments:

For me the x-->z^2+c of Mandelbrot is THE formula of 21st century. For the possibility that Mandelbrot fractal and Julia set could have physical meaning see this.

Hi Matti! Yeah, that's a cool one too, but I prefer ones with a more philosophical flavour.

Lots of thanks for the link to Formulae for the 21st century. I liked all of them. But most of all I liked the idea.

Probably not only people whose job is to think about these things but everyone has such a one page summary of their philosophy.

Their site is done nicely as well. I liked the fact that these are works on paper, mostly handwritten. I thought it would be nice to extend on the idea by starting a similar site. A little research revealed that there is a service called scrapblog

http://scrapblog.com/

that may be used to create a similar site.

I started a scrapbook

http://scrapblog.com/viewer/viewer.aspx?sbId=112190

by putting my formula :)

Do you have one? What do you think about the idea? If people are interested I would even think about designing a professional site like theirs.

Thanks again.

Everyone at Serpentine seems to have stolen equations from people like Einstein. Have none of the contributors come up with their own equations?

Everyone at Serpentine seems to have stolen equations from people like Einstein.You have your own equation. Would you contribute to this scarpbook?

http://scrapblog.com/viewer/viewer.aspx?sbId=112190

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