C. Auguste Dupin first meet him shortly after "Mina Murray" and "Allan Quatermain" arrive in France, Paris, in late June 1898 C. Auguste Dupin "Le Chevalier" C. Auguste Dupin is a fictional character created by Edgar Allan Poe. Dupin made his first appearance in Poe's "The Murders in the Rue Morgue" (1841), widely considered the first detective fiction story. He reappears in "The Mystery of Marie Rogêt" (1842) and "The Purloined Letter" (1844). Dupin is not a professional detective and his motivations for solving the mysteries change throughout the three stories. Using what Poe termed "ratiocination", Dupin combines his considerable intellect with creative
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