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 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