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In the given paper the algorithm describing original and universal principlesof a triangulation of a smooth molecular surface: solvent excluding solvent(SES), received by primary and secondary rolling, and solvent accessiblesurface (SAS) is presented. These surfaces are a boundary between molecule andsolvent. Originality of the given paper consists in creation of the universaland adaptive algorithm of a triangulation. Universality of algorithm of atriangulation consists that it is suitable for not only for a surface, receivedby rolling and consisting of fragments of torus and sphere, but for any smoothsurface, including any level surface. Adaptability of this algorithm consistsin facts that the mesh size of a triangulation can vary depending on itslocation; reflecting even small, but smooth features of a surface; preventing"jump" to close, but not neighbor sites of the surface, excepting "cut off" ofnarrow necks and channels. It is reached by either decreasing triangulationlattice step to value smaller than two principal radiuses of curvature of themolecular surface or decreasing triangulation lattice step close to the activecentre - closed, but not neighbor sites of the surface. The receivedtriangulated surface can be used for the demonstration purposes in moleculareditors (the algorithm is applicable for a triangulation of any smooth surface,for example, level surfaces) together with for calculation of solvation energyand its gradients for continual models of solvent.

Continual Model of Medium II: Universal adaptive algorithm for triangulation of smooth molecular surface