C. Auguste Dupin Dupin" is at the center of Matthew Pearl's novel "The Poe Shadow" (2006). Dupin makes an appearance, alongside Poe himself, in the novel "Edgar Allan Poe on Mars" (2007) by Jean-Marc Lofficier & Randy Lofficier. In "Murder in the Madhouse" (1935), the first of Jonathan Latimer's series of screwball crime novels starring detective William Crane, Crane presents himself in the sanitarium as C. Auguste Dupin. The story contains more oblique references in the form of stylistic elements (offstage murders, Crane's theories of deduction) that suggest Poe had an influence on Latimer's writing. Dupin is the hero of "Les ogres de
Dupin cyclide of Dupin cyclides is invariant under the larger group of all Lie sphere transformations; any two Dupin cyclides are Lie-equivalent. They form (in some sense) the simplest class of Lie-invariant surfaces after the spheres, and are therefore particularly significant in Lie sphere geometry. The definition also means that a Dupin cyclide is the envelope of the one-parameter family of spheres tangent to three given mutually tangent spheres. It follows that it is tangent to infinitely many Soddy's hexlet configurations of spheres. A further special property of a cyclide is: An elliptic cyclide can be represented parametrically by the following formulas