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# patterns

## Latest Articles

### New Proof Shows That ‘Expander’ Graphs Synchronize

The proof establishes new conditions that cause connected oscillators to sway in sync.

### Turing Patterns Turn Up in a Tiny Crystal

The mechanism behind leopard spots and zebra stripes also appears to explain the patterned growth of a bismuth crystal, extending Alan Turing’s 1952 idea to the atomic scale.

### The Curious Strength of a Sea Sponge’s Glass Skeleton

A glass sponge found deep in the Pacific shows a remarkable ability to withstand compression and bending, on top of the sponge’s other unusual properties.

### Landmark Math Proof Clears Hurdle in Top Erdős Conjecture

Two mathematicians have proved the first leg of Paul Erdős’ all-time favorite problem about number patterns.

### How Randomness Can Make Math Easier

Randomness would seem to make a mathematical statement harder to prove. In fact, it often does the opposite.

### Universal Pattern Explains Why Materials Conduct

Mathematicians have found that materials conduct electricity when electrons follow a universal mathematical pattern.

### Scientists Discover Exotic New Patterns of Synchronization

In a world seemingly filled with chaos, physicists have discovered new forms of synchronization and are learning how to predict and control them.

### Amateur Mathematician Finds Smallest Universal Cover

Through exacting geometric calculations, Philip Gibbs has found the smallest known cover for any possible shape.

### The Universal Pattern Popping Up in Math, Physics and Biology

Quanta’s In Theory video series returns with an exploration of a mysterious mathematical pattern found throughout nature.