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 ...

Our universe appears flat—but this observation still leaves plenty of options for its true shape. In fact, our cosmos could resemble a donut ...

Is it possible to fill space “cubically” with shapes that act like spheres? A proof at the intersection of geometry and theoretical computer science says yes. In the fourth century, the Greek ...

The alternative text for this image may have been generated using AI. Our results highlight the fascinating range of defect structures and defect arrangements that result from the interplay between ...

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 ...