Only three geometries fit this description: flat, spherical and hyperbolic. Let’s explore these geometries, some topological considerations, and what the cosmological evidence says about which shapes ...

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 from Dublin to New York: we have to stick to the surface of ...

Space-time curvature around a black hole might sound abstract, but understanding it is crucial to grasp the nature of these ...

Both classes extend the ideas of Euclidean geometry taught in a standard high school to include the basics of spherical and hyperbolic geometry. In both, she emphasized modern applications of both ...

Intuitions regarding geometry are universal, study suggests Date: May 26, 2011 Source: CNRS (Délégation Paris Michel-Ange) Summary: All human beings may have the ability to understand elementary ...

Non-Euclidean geometry doesn't operate that way. A triangle inscribed on the surface of a sphere — a spherical geometric space — has more than 180 degrees in its internal angles, and one drawn ...