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The Spatial Twist Continuum

Murdoch, Peter and Steven E. Benzley

Proceedings, 4th International Meshing Roundtable, Sandia National Laboratories, pp.243-251, October 1995


The significant and inherant power of the S.T.C. representation of the hexahedral mesh is found in the relative freedom in the shape and placement of the twist planes. The geometric interpretation freedom is explained by the S.T.C. 2-cell and 3-cell. The section of a twist plane that is captured within a hexahedra is quadrilateral in shape, yet the S.T.C. 2-cell is n-polygonal sided between centroids. Similarly the section of the S.T.C. 3-cell that is captured within the hexahedra is hexahedral in shape yet is also n-polygonal faceted between centroids. These n-polygonal 3-cells may be arranged in any random manner, providing the Twist Planes are continuous surfaces within the isoparametric orthogonal intersections. This results in a very robust method of generating and defining the hexahedral mesh.
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