A torus with the level sets of the height function
marked, near the bottom of the torus the level sets are
a circle, then between the saddle points the level sets
are two circles, then finally between the upper saddle
point and maximum, the level sets are a circle.
A torus with the level sets of the height function marked, near the bottom of the torus the level sets are a circle, then between the saddle points the level sets are two circles, then finally between the upper saddle point and maximum, the level sets are a circle.
Calum is a lecturer in physics at Edge Hill University where he studies topological solitons and enjoys talking about maths and physics to anyone who will listen. He can often be found on the side of a mountain or out on a bike, talking to himself about solitons.