Debates over how geometry is understood and learned date back at least to the days of Plato, with more recent scholars ...

A 150-year-old geometry rule has been overturned after mathematicians found two different torus surfaces with identical ...

Proving that two polygons have the same area can be as easy as cutting them up and rearranging the pieces. Gina the geometry student stayed up too late last night doing her homework while watching The ...

How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of recent work by the ...

Crows are able to look at a handful of four-sided shapes and correctly distinguish those that exhibit geometric regularity from those that don't, according to a provocative new study. It's the first ...

Geometric objects take on different properties depending on the space in which you visualize them. Using techniques from an upstart field called tropical geometry — which analyzes complicated shapes ...

A scientist has revealed that an ancient clay tablet could be the oldest and most complete example of applied geometry. The surveyor's field plan from the Old Babylon period shows that ancient ...