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Supplemental material to the article "Partitions of the triangles of the cross polytope into surfaces''
cross polytope simplicial complexes triangulated surfaces difference cycle
2010/12/6
We present a constructive proof, that there exists a decomposition of the 2-skeleton of the
k-dimensional cross polytope k into closed surfaces of genus ¤ 1, each with a transitive
automorphism gro...
Geometric continuity and compatibility conditions for 4-patch surfaces
4-patch surface tangent plane continuity curvature continuity compatibility conditions
2010/11/29
When considering regularity of surfaces, it is its geometry that is of interest. Thus, the concept of geometric regularity or geometric continuity of a specific order is a relevant concept. In this pa...