			Examples of degenerate vertex support
			=====================================
			Voronoi cells are irregular polyhedra whose faces are made by random plane cuts
			due to neighboring particles, and typically all the vertices of these polyhedra
			have order 3, since creating higher order vertices can only occur if a plane
			cut intersects an existing vertex.

			In order to make the code robust for handling very large systems, Voro++
			correctly handles these cases, by taking the approach that if a plane is within
			a particular numerical tolerance of an existing vertex, it treats the plane as
			perfectly intersecting that vertex, and it recomputes the cell topology
			accordingly, allowing it to have perfect representations of objects such as an
			octahedron. These example codes demonstrate this support:

			1. higher_test.cc - this code creates an object by cutting with planes aligned
			in a conical arragement along the positive and negative axes in the x, y, and z
			directions. This results in six very high order vertices, and often many order
			four vertices.

			2. higher_test2.cc - this code creates an approximation to a sphere, by cutting
			with many different planes aligned in locally random conical arrangements.

lammps/lib/voronoi/examples/degenerate/README
a6b7299ddc2bmaster

README
View Options