Eugène François Vidocq the first scientific and methodical investigators who played the lead role in many adventures, who in turn was a major influence for the creation of Sherlock Holmes. It is also believed that Edgar Allan Poe was prompted by a story about Vidocq to create the first detective in fiction, C. Auguste Dupin, who appeared, for example, in the short story "The Murders in the Rue Morgue", which is considered the first detective story. Vidocq is also mentioned in "Moby Dick" ("Chapter 88: Schools and Schoolmasters") and "White Jacket" ("Chapter VI: The Quarterdeck Officers,etc.") by Herman Melville and "Great Expectations" by
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