Zadig approach instructive, and wrote in his 1880 article "On the Method of "Zadig"": Edgar Allan Poe may have been inspired by "Zadig" when he created C. Auguste Dupin in "The Murders in the Rue Morgue", which Poe called a "tale of ratiocination" and which established the modern detective fiction genre. Émile Gaboriau and Arthur Conan Doyle were perhaps also influenced by "Zadig". As Barzun and Taylor put it in "A Catalogue of Crime": "However implausible and "agrarian" his method, he is the first systematic detective in modern literature, and that priority itself adds to his troubles in the story until
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