Don't like trigonometry? Don't worry, here are three beautiful proofs of a well-known result that make do without it.

Imagine a circle with radius 1 cm rolling completely along the circumference of a circle with radius 4 cm. How many rotations did the smaller circle make? Be prepared for a surprise!

The number 1 can be written as a sum of unit fractions, that is fractions with 1 in the numerator. But how long can we make such a sum?

When you flip a coin we assume it has equal chance of coming up head or tails, so any coin flipping game should be a fair one. But Yutaka Nishiyama and Steve Humble can give you the winning advantage.

6174 is a very mysterious number. Yutaka Nishiyama explains why, and how beautiful mathematical oddities can inspire us to discover new mathematics.

What do computers and light switches have in common? Yutaka Nishiyama illuminates the connection between light bulbs, logic and binary arithmetic.