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 ...

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 ...

Early in the morning during festivals, many Indian homes wake up to patterns forming quietly at the doorstep. White powder falls in steady lines. Dots appear fi ...

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 ...