It is an obvious idea to enrich the Pauli algebra formalism by introducing the complex vector space V(2, C) on which the matrices operate. The two-component complex vectors are traditionally called sp...It is an obvious idea to enrich the Pauli algebra formalism by introducing the complex vector space V(2, C) on which the matrices operate. The two-component complex vectors are traditionally called spinors. We wish to show that they give rise to a wide range of applications. In fact we shall introduce the spinor concept as a natural answer to a problem that arises in the context of rotational motion.