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A Hat Trick of Hat Puzzles

In three new variations of a famous logic puzzle, what are the best strategies for guessing the color of the hat on your head?


Michael Atiyah’s Imaginative State of Mind

At 86, Britain’s preeminent mathematical matchmaker is still tackling the big questions and dreaming of a union between the quantum and the gravitational forces.

insights puzzle

Solution: ‘The Problem With Dancing Shapes’

Assigning elements from a large collection to one of two categories can yield almost “magical” predictions about highly complicated problems without actually solving them.

insights puzzle

The Problem With Dancing Shapes

In a geometrically designed social club, how do dancing, triangles and hexagons mix?

insights puzzle

Solution: ‘Sleeping Beauty’s Dilemma’

The solution to this month’s puzzle gets to the bottom of the famously ambiguous Sleeping Beauty probability problem.

insights puzzle

Sleeping Beauty’s Necker Cube Dilemma

Like a visually ambiguous Necker cube, the famous Sleeping Beauty problem can be perceived in two seemingly valid ways.

insights puzzle

Solution: ‘The Fabulously Fair Feast’

The solution to this month’s puzzle explains how to design a Sudoku square to figure out the likes and dislikes of four or eight finicky friends.


Hope Rekindled for Perplexing Proof

Three years ago, a solitary mathematician released an impenetrable proof of the famous abc conjecture. At a recent conference dedicated to the work, optimism mixed with bafflement.

Computer Science

Landmark Algorithm Breaks 30-Year Impasse

Computer scientists are abuzz over a fast new algorithm for solving one of the central problems in the field.