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 also used to refer to a more general class of quartic surfaces which are important in the theory of separation of variables for the Laplace equation in three dimensions. Dupin cyclides were investigated not only by Dupin, but also by A. Cayley und J.C. Maxwell. Today, Dupin cylides are used in computer-aided design (CAD), because cyclide patches have rational representations and are suitable for blending canal surfaces (cylinder, cones, tori, and others). There are several equivalent definitions of Dupin cyclides. In formula_1, they can be defined as the images under any inversion of tori, cylinders and double cones. This shows