A Series of Unfortunate Events the plot of "The Grim Grotto", the eleventh book. The Baudelaire orphans are named after Charles Baudelaire; Violet's name also comes from the T.S. Eliot's poem "The Waste Land", specifically its verses concerning the "violet hour," and Sunny and Klaus take their first names from Claus and Sunny von Bülow, while Mr. Poe is a reference to Edgar Allan Poe (his sons are named Edgar and Albert). In the seventh installment, "The Vile Village," Count Olaf's disguise, Detective Dupin, is an allusion to C. Auguste Dupin, a fictional detective created by Edgar Allan Poe. Isadora and Duncan Quagmire are named
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