The Mystery of Marie Rogêt The Mystery of Marie Rogêt "The Mystery of Marie Rogêt", often subtitled A Sequel to "The Murders in the Rue Morgue", is a short story by Edgar Allan Poe written in 1842. This is the first murder mystery based on the details of a real crime. It first appeared in "Snowden's Ladies' Companion" in three installments, November and December 1842 and February 1843. Poe referred to it as one of his "tales of ratiocination". Poe's detective character C. Auguste Dupin and his assistant, the unnamed narrator, undertake the unsolved murder of Marie Rogêt in Paris. The body of Rogêt, a
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