C. Auguste Dupin implies "duping" or deception, a skill Dupin shows off in "The Purloined Letter." Detective fiction, however, had no real precedent and the word "detective" had not yet been coined when Poe first introduced Dupin. The closest example in fiction is Voltaire's "Zadig" (1748), in which the main character performs similar feats of analysis, themselves borrowed from "The Three Princes of Serendip", an Italian rendition of Amir Khusrau's Hasht Bihisht. In writing the series of Dupin tales, Poe capitalized on contemporary popular interest. His use of an orangutan in "The Murders in the Rue Morgue" was inspired by the popular reaction
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