Regular polygonal systems
نویسندگان
چکیده
منابع مشابه
Regular Polygonal Complexes in Space, Ii
Regular polygonal complexes in euclidean 3-space E3 are discrete polyhedra-like structures with finite or infinite polygons as faces and with finite graphs as vertex-figures, such that their symmetry groups are transitive on the flags. The present paper and its predecessor describe a complete classification of regular polygonal complexes in E3. In Part I we established basic structural results ...
متن کاملRegular Polygonal Complexes in Space, I
A polygonal complex in euclidean 3-space E3 is a discrete polyhedron-like structure with finite or infinite polygons as faces and finite graphs as vertex-figures, such that a fixed number r > 2 of faces surround each edge. It is said to be regular if its symmetry group is transitive on the flags. The present paper and its successor describe a complete classification of regular polygonal complex...
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This paper deenes a polygonal decomposition into regular and singular regions, a concept that is useful for skeleton extraction and part analysis. A preference relation is deened among symmetrical trapezoids contained in the polygon, so that a trapezoid can be preferred to other trapezoids. A set of most preferred trapezoids is used to deene regular regions. Regular regions correspond to the on...
متن کاملApproximating Planar Conformal Maps Using Regular Polygonal Meshes
Continuous conformalmaps are typically approximated numerically using a trianglemeshwhich discretizes the plane. Computing a conformal map subject to user-provided constraints then reduces to a sparse linear system, minimizing a quadratic ‘conformal energy’.We address themore general case of non-triangular elements, and provide a complete analysis of the casewhere the plane is discretized using...
متن کاملVibration Analysis of Global Near-regular Mechanical Systems
Some near-regular mechanical systems involve global deviations from their corresponding regular system. Despite extensive research on vibration analysis (eigensolution) of regular and local near-regular mechanical systems, the literature on vibration analysis of global near-regular mechanical systems is scant. In this paper, a method for vibration analysis of such systems was developed using Kr...
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ژورنال
عنوان ژورنال: Ars Mathematica Contemporanea
سال: 2018
ISSN: 1855-3974,1855-3966
DOI: 10.26493/1855-3974.997.7ef