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# mathematics

## Solution: ‘A Random Place at the Table’

Try these shortcuts for solving problems that seem to require a lengthy calculation.

## Mathematicians Bridge Finite-Infinite Divide

A surprising new proof is helping to connect the mathematics of infinity to the physical world.

## A Life Inspired by an Unexpected Genius

Greatness was always expected of Ken Ono. But as he struggled with his parents’ expectations, he found solace and inspiration in the life of two-time college dropout — and mathematical genius — Srinivasa Ramanujan, the subject of the film The Man Who Knew Infinity.

## A Random Place at the Table

Can you find a shortcut for solving problems that seem to require a lengthy calculation?

## Why Sleeping Beauty Is Lost in Time

The famous Sleeping Beauty problem has divided probability theorists, decision theorists and philosophers for over 15 years. Puzzle columnist Pradeep Mutalik claims to have discovered the source of confusion.

## Sphere Packing Solved in Higher Dimensions

The Ukrainian mathematician Maryna Viazovska has solved the centuries-old sphere-packing problem in dimensions eight and 24.

## Solution: A Hat Trick + 1 of Hat Puzzles

For four game show variations of the hat puzzle, four clever ways to earn a better payoff than you might expect.

## Mathematicians Discover Prime Conspiracy

A previously unnoticed property of prime numbers seems to violate a long-standing assumption about how they behave.

## 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?