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patterns

Triangles fit effortlessly together, as do squares. When it comes to pentagons, what gives?
Quantized Academy

The (Math) Problem With Pentagons

Triangles fit effortlessly together, as do squares. When it comes to pentagons, what gives?

A California housewife who in the 1970s discovered four new types of tessellating pentagons is dead at 94.
Abstractions blog

Marjorie Rice’s Secret Pentagons

A California housewife who in the 1970s discovered four new types of tessellating pentagons is dead at 94.

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

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.
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.

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

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

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.

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.