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Polylla is a polygonal mesh algorithm that generates meshes with arbitrarilyshaped polygons using the concept of terminal-edge regions. Until now, Polyllahas been limited to 2D meshes, but in this work, we extend Polylla to 3Dvolumetric meshes. We present two versions of Polylla 3D. The first versiongenerates terminal-edge regions, converts them into polyhedra, and repairspolyhedra that are joined by only an edge. This version differs from theoriginal Polylla algorithm in that it does not have the same phases as the 2Dversion. In the second version, we define two new concepts: longest-facepropagation path and terminal-face regions. We use these concepts to create analmost direct extension of the 2D Polylla mesh with the same three phases:label phase, traversal phase, and repair phase.

3D POLYLLA: Polyhedral meshing algorithm based on terminal-edge regions and terminal-face regions