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The class Kinetic::Regular_triangulation_instantaneous_kernel<ActiveObjectsTable, StaticKernel> is an instantaneous kernel for use with a regular triangulation data structure. There is not currently a reason for the user to call this directly unless the user wants created their own simulation traits as it is included as part of the Kinetic::Regular_triangulation_exact_simulation_traits.
#include <CGAL/Kinetic/Regular_triangulation_instantaneous_kernel.h>
CGAL::RegularTriangulationTraits_3, Kinetic::InstantaneousKernel
Kinetic::Regular_triangulation_3<Traits, Visitor, Triangulation>.