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- W2375177839 abstract "For inspecting topological and geometrical unanimity of a solid model,principle of closed path topology and Euler′s formula are important tools.On which the exposition of related literatures was inappropriate.Starting from the summation of predecessors′ studies,the authors put forward their theory and method to make up effective tool for its inspection.Firstly,a precise definition is given to the angle of resultant rotation of a simple closed path on a curved surface,and an analysis is made on its calculation with spherical surface as example,and thus a concept of angle excess is derived.Secondly,a strict definition is given to polyhedra,and the conditions are given for applying Euler′s formula and Gauss Bonnet Theorem to polyhedra.Finally,the generalized Euler eigenvalue and the generalized Gauss Bonnet Theorem and the generalized Euler′s formula are given to polyhedra." @default.
- W2375177839 created "2016-06-24" @default.
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- W2375177839 date "2000-01-01" @default.
- W2375177839 modified "2023-09-24" @default.
- W2375177839 title "The Consistency in Topology and Geometry of Boundary Representation" @default.
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