In mathematics, the quaternion number system extends the complex numbers. Quaternions were first described by the Irish mathematician William Rowan Hamilton in 1843 [1][2] and applied …

The quaternions are members of a noncommutative division algebra first invented by William Rowan Hamilton.

On October 16th, 1843, while walking with his wife to a meeting of the Royal Society of Dublin, Hamilton discovered a 4-dimensional division algebra called the quaternions:

Dec 20, 2025 · Quaternion, in algebra, a generalization of two-dimensional complex numbers to three dimensions. Quaternions and rules for operations on them were invented by Irish …

It turns out that extending complex numbers to quaternions allows rotations to extend to three dimensions in a very convenient way. It permits us to easily construct a formula for rotation …

The quaternions were discovered by Sir William Rowan Hamilton in 1843, after struggling unsuccessfully to construct an algebra in three dimensions. On 16 October 1843, as Hamilton …

Jun 7, 2020 · The system of quaternions was put forward in 1843 by W.R. Hamilton (1805–1865). Quaternions were historically the first example of a hypercomplex system, arising from …

Quaternions are very efficient for analyzing situations where rotations in R3 are involved. A quaternion is a 4-tuple, which is a more concise representation than a rotation matrix. Its geo …

Quaternions form an interesting algebra where each object contains 4 scalar variables (sometimes known as Euler Parameters not to be confused with Euler angles), these objects …

Feb 21, 2022 · Understand quaternions with this introduction, exploring their algebraic structure and applications in 3D rotations and graphics.