The recently discovered “hat” aperiodic monotile admits tilings of the plane, but none that are periodic [SMKGS23]. This polygon settles the question of whether a single shape—a closed topological ...

David Smith, a retired print technician from the north of England, was pursuing his hobby of looking for interesting shapes when he stumbled onto one unlike any other in November. When Smith shared ...

Strike a billiard ball on a frictionless table with no pockets so that it never stops bouncing off the table walls. If you returned years later, what would you find? Would the ball have settled into ...

Mathematicians are “reinventing the wheel” by giving it a new shape. Their newly imagined wheel looks like a many-dimensional guitar pick, and it could theoretically roll in ways beyond our ...

It should surprise no one that MIT has an origami team whose goal is to create a third level version of a 3-D fractal known as a Menger Sponge, whose ultimate incarnation is a shape with zero volume ...

Math Riddles: Did you know that solving math riddles and puzzles can enhance your mental ability, analytical skills, logical reasoning, and help you ace psychometric tests or aptitude tests in ...

Riemannian manifolds or geodesic metric spaces of finite or infinite dimension occur in many areas of mathematics. We are interested in the interplay between their local geometry and global ...