Quaternion matrix algebra extends classical matrix theory into the realm of hypercomplex numbers, enabling elegant representation and manipulation of three-dimensional rotations and rigid-body motions ...

Imagine winding the hour hand of a clock back from 3 o’clock to noon. Mathematicians have long known how to describe this rotation as a simple multiplication: A number representing the initial ...

Irish physicist, astronomer, and mathematician Sir William Rowan Hamilton introduced quaternions, a non-commutative extension of complex numbers, on October 16, 1843. Benjamin Olinde Rodrigues had ...

It’s 179 years since William Rowan Hamilton really put Ireland on the maths map by inventing quaternions. This is a four-dimensional number system with a highly usual property as the order in which ...

On this day in 1843, the great Irish mathematician William Rowan Hamilton discovered a new kind of numbers called quaternions. Each quaternion has four parts, like the co-ordinates of a point in ...