C. Auguste Dupin of life into it?" Many tropes that would later become commonplace in detective fiction first appeared in Poe's stories: the eccentric but brilliant detective, the bumbling constabulary, the first-person narration by a close personal friend. Dupin also initiates the storytelling device where the detective announces his solution and then explains the reasoning leading up to it. Like Sherlock Holmes, Dupin uses his considerable deductive prowess and observation to solve crimes. Poe also portrays the police in an unsympathetic manner as a sort of foil to the detective. The character helped established the genre of detective fiction, distinct from mystery fiction,
Dupin cyclide "R" are a 3-dimensional vectors, and "A" and "B" are constants. Families of cyclides give rise to various cyclidic coordinate geometries. In Maxime Bôcher's 1891 dissertation, "Ueber die Reihenentwickelungen der Potentialtheorie", it was shown that the Laplace equation in three variables can be solved using separation of variables in 17 conformally distinct quadric and cyclidic coordinate geometries. Many other cyclidic geometries can be obtained by studying R-separation of variables for the Laplace equation. Dupin cyclide In mathematics, a Dupin cyclide or cyclide of Dupin is any geometric inversion of a standard torus, cylinder or double cone. In particular, these latter