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patterns

15 pentagon tessellations
geometry

Pentagon Tiling Proof Solves Century-Old Math Problem

A French mathematician has completed the classification of all convex pentagons, and therefore all convex polygons, that tile the plane.

Bongard puzzle stars
insights puzzle

Solution: ‘Bongard Problems and Scientific Discovery’

Like scientific puzzles, Bongard problems can lead you through a frustrating blind search until you find that simple, elegant rule that fits a seemingly random pattern.

Bongard stars
insights puzzle

Bongard Problems and Scientific Discovery

For your frustration, joy and entertainment, our puzzle challenges you to find general patterns or rules based on seemingly random, specific examples.

developmental biology

Biologists Home in on Turing Patterns

New research has prompted a resurgence of interest in the patterning mechanisms Alan Turing proposed 60 years ago.

symmetry

How to Make Impossible Wallpaper

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

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.