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Mathematics

A new collection of arresting wallpaper designs seems to defy the crystallographic restriction.
symmetry

How to Make Impossible Wallpaper

A new collection of arresting wallpaper designs seems to defy the crystallographic restriction.

As the role of computers in pure mathematics grows, researchers debate their reliability.
algorithms

In Computers We Trust?

As the role of computers in pure mathematics grows, researchers debate their reliability.

All complex correlated systems, from Arctic melt ponds to the Internet, appear to be governed by the same math as a random matrix.
universality

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.

A mathematical technique called “differential privacy” gives researchers access to vast repositories of personal data while meeting a high standard for privacy protection.
cryptography

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.

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.
Mathematics

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.