C. Auguste Dupin Montfaucon" by (2004), a collection of thirteen detective stories set in the 19th century, the last of which (« Le drame de Reichenbach ») also provides a link with Sherlock Holmes. Other appearances: Jorge Luis Borges pays homage to Poe's Dupin in "Death and the Compass", by calling his main detective character Erik Lönrott an "Auguste Dupin"-type detective. This is one of the stories published by Borges in his "Ficciones"(1944). Borges also translated Poe's works into Spanish. In "The Paralogs of Phileas Fogg", author James Downard has Dupin help Fogg and his cohorts resolve some issues during the American leg
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