Arthur Cayley was one of the founders of the British school of pure Mathematics in the second half of the nineteenth century. He built on the idea of the quaternion, first envisaged by William Rowan Hamilton in 1843, to show that quaternions can be used to represent rotations in four-dimensional space.

Citation:

Editors. "Arthur Cayley shows that quaternions can be used to represent rotations in four-dimensional space".
*The Literary Encyclopedia*. First published 30 August 2013

[http://www.litencyc.com/php/stopics.php?rec=true&UID=6312, accessed 23 April 2014.]