Maeckes logo

<    1      2      3    >


Numbers with four dimensions are called quaternions. You write them as

q = a + bi + cj + dk

and they constst of the real numbers a, b, c, d and the quantities ij and k. The set of quaternions is denoted by the symbol H (from Hamilton).



When multiplying the quantities ij and k the sequence plays a role.


Quaternions can be used to describe a rotation in three dimensions. A point (b, c, d ) in three dimensions forms the imaginary part bi + cj + dk of a quaternion.



The Irisch mathematcian William Rowan Hamilton invented the quaternions in 1843.

Deutsch   Español   Français   Nederlands   中文