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  "body": "\n## Summary\n\nA **rotor** is an object in the geometric algebra (also called Clifford algebra) of a [[vector space|000AYPA9AJ]] that represents a [[rotation|0HFREYRSZP]] about the origin. More precisely, for each rotation there exist two rotors that represent it. The term originated with William Kingdon Clifford, in showing that the [[quaternion|0GE4DVQKR8]] algebra is just a special case of Hermann Grassmann's \"theory of extension\" (Ausdehnungslehre). Hestenes defined a rotor to be any element $R$ of a geometric algebra that can be written as the product of an even number of unit vectors and satisfies $R\\tilde R = 1$, where $\\tilde R$ is the \"reverse\" of $R$—that is, the product of the same vectors, but in reverse order.\n",
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