## What is this?

This side is a collection of beautiful math proofs and visualizations. For some people math is more than a field of study, it’s an art form that can bring up huge joy in the viewer due to its elegance and mathematical beauty. Similar to the kind of awe that museum-goers feel when looking at famous paintings, this website serves as a digital museum for mathematical art making use of the newest web technologies. Even if your only feelings towards math from your school days is hatred and frustration, it doesn’t mean that you won’t see the fascination of real math, as it, and the way of teaching here, can be quite different from what you learnt at school.

For example. you might see the beauty in the simplicity of Euler’s identity:

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

A more controversial one is Ramanujan‘s formula for computing the reciprocal of pi. It looks ugly, however, the sheer fact that this formula looks so arbitrary but still builds a relationship with a fundamental value in mathematics, pi, makes it really mind-blowing again.

$\displaystyle \frac{1}{\pi} = \frac{\sqrt{8}}{9801}\sum_{k=0}^{\infty} \frac{(4k)!(1103 + 26390k)}{(k!)^4 396^{4k}}$

## Art In Math Quotes

"Mathematics, rightly viewed, possesses not only truth, but supreme beauty — a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show. The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of the highest excellence, is to be found in mathematics as surely as poetry."
-Bertrand Russell
"If numbers aren't beautiful, I don't know what is."
"This one's from the Book!" (referring to a mythical book in which God keeps the most elegant proofs of all theorems)
-Paul Erdős
"Art transports us from the world of man's activity to a world of aesthetic exaltation. For a moment we are shut off from human interests; our anticipations and memories are arrested; we are lifted above the stream of life. The pure mathematician rapt in his studies knows a state of mind which I take to be similar, if not identical. He feels an emotion for his speculations which arises from no perceived relation between them and the lives of men, but springs, inhuman or super-human, from the heart of an abstract science. I wonder, sometimes, whether the appreciators of art and of mathematical solutions are not even more closely allied."
-Clive Bell
"It seems to be one of the fundamental features of nature that fundamental physical laws are described in terms of a mathematical theory of great beauty and power, needing quite a high standard of mathematics for one to understand it. You may wonder: Why is nature constructed along these lines? One can only answer that our present knowledge seems to show that nature is so constructed. We simply have to accept it. One could perhaps describe the situation by saying that God is a mathematician of a very high order, and he used very advanced mathematics in constructing the universe."
-Paul Dirac

## Where should I start?

You can basically start with anything in my portfolio, however I suggest starting with visual proofs, as they are short, require no words to understand (thinking why the the picture proves the theorem is part of the challenge), and most of them rely only on basic math skills.