The Poe Shadow October 8, 1849. He had previously corresponded with Poe about providing legal support for a new publication, "The Stylus". Clark feels obliged to look into the mysterious circumstances surrounding Poe's death, despite protests from his fiancée Hattie Blum and his friend Peter Stuart. Clark's journey takes him to Paris to seek out the real-life inspiration for Poe's character C. Auguste Dupin, a man of intellect who could help unravel the mystery. After eliminating several possibilities, he meets Baron C.A. Dupin, a famous lawyer, and a detective with a similar name, Auguste Duponte. After a confrontation with the Baron Dupin and
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