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:

Oct 10, 2021 · The quaternions, discovered by William Rowan Hamilton in 1843, were invented to capture the algebra of rotations of 3-dimensional real space, extending the way that the …

Nov 12, 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 …

Aug 20, 2022 · A quaternion contains four components and it is expressed in the form: a+bi+cj+dk, where a, b, c, and d are real numbers, while i, j, and k are unconventional …

Jul 25, 2025 · Quaternions are numbers made up of four parts: one real part and three imaginary parts. They can be written in this form: Here, a is the real part, and b, c, and d are the …

Apr 24, 2023 · The most straight-forward way to understand and compute quaternions is from the angle-axis 3D orientation representation. So, we present the math below for how this is done …

Jul 4, 2023 · A quaternion will cancel out with its Inverse, resulting in the Identity quaternion. Thinking in terms of Axis and Angles, you can view it as negating the axis to point in the …

The meaning of QUATERNION is a set of four parts, things, or persons.