The maths of gold medals: Four Olympic thoughts
Keeping track of immunity
Shaping our bones
Finding your way home without knowing where you are
Foraging ants have a hard life, embarking on long and arduous trips several times a day, until they drop dead from exhaustion. The trips are not just long, they also follow complex zig-zag paths. So how do ants manage to find their way back home? And how do they manage to do so along a straight line? Their secret lies in a little geometry.
The Abel Prize 2011 goes to John Milnor
Winding numbers: Topography and topology II
Outer space: Ping-Pong is coming home
Dividing Walls: Topology and topography I
Picking holes in mathematics
In the 1930s the logician Kurt Gödel showed that if you set out proper rules for mathematics, you lose the ability to decide whether certain statements are true or false. This is rather shocking and you may wonder why Gödel's result hasn't wiped out mathematics once and for all. The answer is that, initially at least, the unprovable statements logicians came up with were quite contrived. But are they about to enter mainstream mathematics?