Quateion

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In mathematics, the quateions are a number system that extends the complex numbers. They were first described by Irish mathematician William Rowan Hamilton in 1843 and applied to mechanics in three-dimensional space. A feature of quateions is that multiplication of two quateions is noncommutative. Hamilton defined a quateion as the quotient of two directed lines in a three-dimensional space or equivalently as the quotient of two vectors.

as he walked by on the 16th of October 1843 Sir William Rowan Hamilton in a flash of genius discovered the fundamental formula for quateion multiplication and cut it on a stone of this bridge.

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