In an increasingly interconnected world, scientists are seeking safeguards against catastrophic cascades of failure like stock market crashes and widespread blackouts.

# Mathematics

### 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.