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 ...

One hypothesis about the shape of the universe is that the universe is in the space of Euclidean geometry and flat. In Euclidean geometry, it is assumed that straight lines extend everywhere, planes ...

Add Yahoo as a preferred source to see more of our stories on Google. What shape is the universe? This question is far more intriguing and truly unresolved than any debate over the shape of our planet ...

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 ...

This media is in the public domain (free of copyright restrictions). You can copy, modify, and distribute this work without contacting the Smithsonian. For more information, visit the Smithsonian's ...

Geometry may be one of the oldest branches of mathematics, but it’s much more than a theoretical subject. It’s part of our everyday lives, says Professor Jennifer Taback, and key to understanding many ...

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