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Treading Softly in a Connected World
In an increasingly interconnected world, scientists are seeking safeguards against catastrophic cascades of failure like stock market crashes and widespread blackouts.
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.
Privacy by the Numbers: A New Approach to Safeguarding Data
A mathematical technique called “differential privacy” gives researchers access to vast repositories of personal data while meeting a high standard for privacy protection.
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.