The Murders in the Rue Morgue as the first detective fiction story, the character of Dupin became the prototype for many future fictional detectives, including Arthur Conan Doyle's Sherlock Holmes and Agatha Christie's Hercule Poirot. The genre is distinctive from a general mystery story in that the focus is on analysis. Poe's role in the creation of the detective story is reflected in the Edgar Awards, given annually by the Mystery Writers of America. "The Murders in the Rue Morgue" also established many tropes that would become common elements in mystery fiction: the eccentric but brilliant detective, the bumbling constabulary, the first-person narration by a close
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