Knowtex

Take a square sheet of paper. Can you glue opposite sides without ever folding the paper? This is a conundrum that many couldn't figure out. While John Nash did answer yes, he couldn't say how. Finally in 2012, Borrelli and his collaborators finally made it! And it is spectacularly beautiful!

Linear algebra is a one of the most useful pieces of mathematics and the gateway to higher dimensions. Using Barney Stinson's crazy-hot scale, we introduce its key concepts.

Last summer, I got to discover Morellet's artwork on inclined grids. Amazingly, this artwork is a display of the irrationality of ?2! It's also a strong argument for the existence of this number. In this article, after discussing that, I take readers further!

Polyhedron Models /Stellations

For each natural number n, we draw a periodic curve starting from the origin, intersecting the x-axis at n and its multiples. The prime numbers are those that have been intersected by only two curves: the prime number itself and one.

Tweetstream of @David_Dobbs and @DeborahBlum's session at Science Online 2012, 9.30-10.30a Saturday 21 Jan.

The incredible vintage illustrations of Soviet mathematician Anatolii Fomenko, exploring the intersection of mathematics and the myth of light geometry.

A short abstract movie dealing with nature and maritime creatures, metamorphosis and transformation – it connects art and science.

At TED2010, mathematics legend Benoit Mandelbrot develops a theme he first discussed at TED in 1984 -- the extreme complexity of roughness, and the way that fractal math can find order within patterns that seem unknowably complicated.

The theoretical basis behind the movie "Nature by Numbers".