The shortest distance between two points is a straight line. This is one of the basic principles of Euclidean geometry. But we live on a spherical Earth, so we cannot travel the straight line path ...

In our mind’s eye, the universe seems to go on forever. But using geometry we can explore a variety of three-dimensional shapes that offer alternatives to “ordinary” infinite space. When you gaze out ...

Henry Segerman and Saul Schleimer paint beautiful shadows based on the maths of stereographic projection, a method originally used by cartographers to map the Earth Like a Halloween pumpkin, the ...