To make this argument work, the group had to deal with many finicky mathematical details. For example, in most cases you have an infinite number of spots available to move to, not just four corners.

Let P be a locally finite disk pattern on the complex plane C whose combinatorics are described by the one-skeleton G of a triangulation of the open topological disk and whose dihedral angles are ...

For centuries, prime numbers have captured the imaginations of mathematicians, who continue to search for new patterns that help identify them and the way they’re distributed among other numbers ...

A UB study characterizes two-dimensional wave patterns, such as the undular bores seen in a Chinese river, that move along ...

“A Mirror Maze: Numbers in Nature,” at the Arizona Science Center in Phoenix through Sept. 4, features 1,800 square feet of a seemingly infinite pattern of mirrors, filled with surprises.

It is a shape that can tile an infinite two-dimensional flat surface but only in a non-repeating pattern. David Smith, a self-described shape hobbyist from England, was behind the discovery.