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How to Make Impossible Wallpaper
A new collection of arresting wallpaper designs seems to defy the crystallographic restriction.
In Computers We Trust?
As the role of computers in pure mathematics grows, researchers debate their reliability.
In Mysterious Pattern, Math and Nature Converge
All complex correlated systems, from Arctic melt ponds to the Internet, appear to be governed by the same math as a random matrix.
Computer Scientists Take Road Less Traveled
An infinitesimal advance in the traveling salesman problem breathes new life into the search for improved approximate solutions.
Getting Into Shapes: From Hyperbolic Geometry to Cube Complexes and Back
Thirty years after William Thurston articulated a grand mathematical vision, a proof by Ian Agol marks the end of an era in the study of three-dimensional shapes.