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The 8T-LE Partition Applied to the Barycentric Division of a 3-D Cube

Lecture Notes in Computational Science and Engineering, ISSN: 2197-7100, Vol: 139, Page: 753-762
2021
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Conference Paper Description

The barycentric partition of a 3D-cube into tetrahedra is carried out by adding a new node to the body at the centroid point and then, new nodes are progressively added to the centroids of faces and edges. This procedure generates three types of tetrahedra in every single step called, Sommerville tetrahedron number 3 (ST3), isosceles trirectangular tetrahedron and regular right-type tetrahedron. We are interested in studying the number of similarity classes generated when the 8T-LE partition is applied to these tetrahedra.

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