Fictional detectives Fictional detectives Fictional detectives are characters in detective fiction. These characters have long been a staple of detective mystery crime fiction, particularly in detective novels and short stories. Much of early detective fiction was written during the "Golden Age of Detective Fiction" (1920s-1930s). These detectives include amateurs, private investigators and professional policemen. They are often popularized as individual characters rather than parts of the fictional work in which they appear. Stories involving individual detectives are well-suited to dramatic presentation, resulting in many popular theatre, television, and movie characters. The first famous detective in fiction was Edgar Allan Poe's C. Auguste
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