How few corners can a shape have and still tile the plane?” mathematician Gábor Domokos asked me over pizza. His deceptively simple question was about the geometry of tilings, also called ...

Over the last two years, mathematicians have identified the best versions of a child’s playroom’s worth of shapes. These results occupy a quirky corner of math and, fittingly, have been produced by ...

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 ...

Our universe appears flat—but this observation still leaves plenty of options for its true shape. In fact, our cosmos could resemble a donut What shape is the universe? This question is far more ...