If you thought writing calculations to describe three-dimensional objects in math class was hard, consider doing the same for one with 248 dimensions. Mathematicians call such an object E8 (pronounced ...

The human visual system exhibits a remarkable ability to decipher the three-dimensional structure of the world from two-dimensional retinal images. Central to this process is the utilisation of shape ...

There is an elaborately carved ancient gate, often considered the most beautiful in Japan, that is completely symmetrical except for a tiny design flaw. The story goes that the artist fashioned one ...

To most people, “symmetry” means the bilateral symmetry exhibited by, say, a butterfly, or the human face. That is, if you take a picture of a butterfly and draw a straight line down the middle of the ...