\begin{ccPackage}{Delaunay triangulation, dD} \section{Delaunay Triangulation} There is a class type with a thourough interface providing the construction and exploration of closest and furthest site Delaunay simplicial complexes in arbitrary higher dimension. The class \ccc{CGAL::Delaunay_d}\ccIndexMainItem[C]{Delaunay_d} provides an implementation via the lifting map to higher dimensional convex hulls.\ccIndexMainItem{lifting map, dD}. The class supports incremental construction of Delaunay triangulations and various kind of query operations (in particular, nearest and furthest neighbor queries and range queries with spheres and simplices). \end{ccPackage}