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 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 are themselves examples of Dupin cyclides. They were discovered by (and named after) Charles Dupin in his 1803 dissertation under Gaspard Monge. The key property of a Dupin cyclide is that it is a channel surface (envelope of a one-parameter family of spheres) in two different ways. This property means that Dupin cyclides are natural objects in Lie sphere geometry. Dupin cyclides are often simply known as "cyclides", but the latter term is