Mary Rogers body found in the River Seine. Poe presented the story as a sequel to "The Murders in the Rue Morgue" (1841), commonly considered the first modern detective story, and included its main character, C. Auguste Dupin. As Poe wrote in a letter: "under the pretense of showing how Dupin... unravelled the mystery of Marie's assassination, I, in fact, enter into a very rigorous analysis of the real tragedy in New York." In the story, Dupin suggests several possible solutions but never actually names the murderer. Mary Rogers Mary Cecilia Rogers (born c. 1820 – found dead July 28, 1841) was
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