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 that the class of Dupin cyclides is invariant under Möbius (or conformal) transformations. In complex space formula_2 these three latter varieties can be mapped to one another by inversion, so Dupin cyclides can be defined as inversions of the torus (or the cylinder, or the double cone). Since a standard torus is the orbit of a point under a two dimensional abelian subgroup of the Möbius group, it follows that the cyclides also are, and this provides a second way to define them. A third property which characterizes Dupin cyclides is that their curvature lines are all circles (possibly through