This paper classifies all memristors into three classes called Ideal, Generic, or Extended memristors.A subclass of Generic memristors is related to Ideal memristors via a one-to-one mathematical transformation, and is hence called Ideal Generic memristors.The concept of non-volatile memories is defined and clarified with illustrations.Several fundamental new concepts, including Continuum-memory memristor, Hats POP (acronym for Power-Off Plot), DC V-I Plot, and Quasi DC V-I Plot, are rigorously defined and clarified with colorful illustrations.
Among many colorful pictures the shoelace DC A/C Parts V-I Plot stands out as both stunning and illustrative.Even more impressive is that this bizarre shoelace plot has an exact analytical representation via 2 explicit functions of the state variable, derived by a novel parametric approach invented by the author.