Results 161 to 170 of about 118,819 (179)
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A combinatorial condition for the existence of polyhedral 2-manifolds
Israel Journal of Mathematics, 1982LetP denote a polyhedral 2-manifold, i.e. a 2-dimensional cell-complex inRd (d≧3) having convex facets, such that set (P) is homeomorphic to a closed 2-dimensional manifold. LetE be any subset of odd valent vertices ofP, andcE its cardinality. Then for the numbercP(E) of facets containing a vertex ofE the inequality 2cP(E)≧cE+1 is proved.
Betke, U., Gritzmann, P.
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Polyhedral Mesh Generation and Optimization for Non-manifold Domains
2014We present a preliminary method to generate polyhedral meshes of general non-manifold domains. The method is based on computing the dual of a general tetrahedral mesh. The resulting mesh respects the topology of the domain to the same extent as the input mesh.
Rao V. Garimella +2 more
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A Local Property of Large Polyhedral Maps on Compact 2-Dimensional Manifolds
Graphs and Combinatorics, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stanislav Jendrol', Heinz-Jürgen Voss
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Total absolute curvature of polyhedral manifolds with boundary in E n
Geometriae Dedicata, 1979N. H. Kuiper has generalized the notion of total absolute curvature for compact polyhedra in euclidean space by considering the critical points of all height functions (cf. [12]). On the other hand in the case of compact smooth manifolds with boundary in En there is a certain relation between the total absolute curvatures of the total space, the ...
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A POLYHEDRAL DESCRIPTION OF 3-MANIFOLDS
Advances in Algebra, 2003ANN CHI KIM, YANGKOK KIM
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Invariant manifold dynamics VIA polyhedral representation
2015In recent years, manifold dynamics has assumed an increasing relevance for analysis and design of low-energy missions, both in the Earth-Moon system and in alternative multibody environments, and several space missions have already taken advantage of the results of the related studies.
PONTANI, MAURO, TEOFILATTO, Paolo
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Tightly Embedded 2-Dimensional Polyhedral Manifolds
American Journal of Mathematics, 1965openaire +2 more sources
COLORING POLYHEDRAL MANIFOLDSa
Annals of the New York Academy of Sciences, 1985openaire +1 more source

