The Discovery and Beauty of Numbers in 4 Dimensions

The story of the quaternions

Quaternion 4D fractal - Image from Wikimedia Commons

Are there any numbers beyond the complex numbers?

In the 1840s, William Rowan Hamilton tried to solve a tenacious problem. He knew that complex numbers could be viewed as points in a 2-dimensional space and that they could be added and multiplied together using certain geometric or algebraic operations.