Mystery film include "The Gold Bug" (1910), also from France, and "The Murders in the Rue Morgue" (1914). Both are derived from stories by Edgar Allan Poe, which is appropriate as Poe is often credited with creating modern detective fiction as well as the first private detective character, C. Auguste Dupin. Universal Pictures renamed him Pierre Dupin in "Murders in the Rue Morgue" (1932), an atmospheric horror-mystery starring Bela Lugosi. The film was remade twice more in 1953 and 1971. Poe's second Dupin story, "The Mystery of Marie Rogêt", was filmed in 1942. More recently, "The Raven" (2012) presented a fictionalized account
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