C. Auguste Dupin Dostoevsky called Poe "an enormously talented writer" and favorably reviewed Poe's detective stories. The character Porfiry Petrovich in Dostoevsky's novel "Crime and Punishment" was influenced by Dupin. In the first Sherlock Holmes story, "A Study in Scarlet" (1887), Doctor Watson compares Holmes to Dupin, to which Holmes replies: "No doubt you think you are complimenting me ... In my opinion, Dupin was a very inferior fellow... He had some analytical genius, no doubt; but he was by no means such a phenomenon as Poe appears to imagine". Alluding to an episode in "The Murders in the Rue Morgue", where Dupin
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