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

# Articles tagged insights puzzle

### The Problem With Dancing Shapes

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

### Solution: ‘Sleeping Beauty’s Dilemma’

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

### 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.

### 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.

### The Fabulously Fair Feast

For this month’s puzzle, design a Sudoku square to figure out the likes and dislikes of four finicky friends.

### Solution: ‘Be Still My Pulsating Sequence’

The solution to this month’s puzzle explains how to find a rule behind a given sequence of numbers and challenges readers to take on a ‘lovely’ unsolved problem.

### Be Still My Pulsating Sequence

Can you infer the simple rule behind a number sequence that spikes up and down like the beating of a heart?

### Solution: ‘Creating Art With Mathematics’

The solution to this month’s puzzle explains the artful mathematics behind symmetrical patterns.

### How to Create Art With Mathematics

Can you generate aesthetically pleasing, symmetrical curves with two numbers and a simple mathematical function?