Stumbled upon this image... pretty cool. Description below is roughly from Wikipedia:
Quaternions are a number system used to extend the “complex numbers”. Hamilton defined a quaternion as the quotient of two “directed lines” in a three-dimensional spaceor equivalently as the quotient of two vectors.Quaternions can also be represented as the sum of a scalar and a vector.
Directly applies to mechanics in 3-dimensional space - (physical existence as we know it)
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