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(Semi) regular tetrahedral tilings
Kolcun, Alexej
Triangulation 2D and 3D methods represent an import ant part of numerical modeling process (e.g. FEM). In many applications it is suitable to use triangulati ons with a regular structure. Moreover, decompositi on with a limited number of different types of tetrahedra ena bles to reduce the storage and computational demand s in the whole modeling process. The submitted contribution presents an overview of possible 3D decompositions using one tetrahedron (regular tilings). These decomposit ions are confronted with decompositions using six d ifferent types of tetrahedra (orthogonal structured tilings) . Considering the shape expressivity of particular methods, the paper presents a structure of possible decompositio ns and comparison of storage demands of the used decompositions.

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