Results 21 to 30 of about 69,132 (324)
On the stability of the homographic polygon configuration in the many-body problem
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2004 In this paper the stability of a new class of exact symmetrical solutions in the Newtonian gravitational (n + 1) -body problem is studied. This class of solution follows from a suitable geometric distribution of the (n+1) -bodies, and initial ...
Prokopenya, AN, Cattani, C
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On Sloshing Modes in Equilateral-Polygonal-Section Containers
Journal of Fluid Science and Technology, 2010 Vertical sloshing is the liquid surface motion in a container forced to oscillate in the vertical direction. The present paper concerns the vertical sloshing in various equilateral-polygonal-section containers such as octagonal-, heptagonal-, hexagonal-,
Katsuya HIRATA +4 more
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Buckling of Tapered Columns with Polygon Cross-Section [PDF]
Computational Engineering and Physical Modeling, 2018 This paper is concerned with the elastic stability of slender tapered columns of regular polygon cross-section with constant volume is presented. Various end conditions of the tapered columns such as pinned ends, clamped -pinned ends and clamped ends are
Magdy Salama
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Questions about the non-constructable polygon of Leon Battista Alberti
EGA, 2018 The process followed by Alberti when designing the façade of the Santa Maria Novella in Florence is well-known. This façade contains 48 ornamental elements which were created through the construction of regular polygons: 7 elements have a pentagonal base,
Albert Samper Sosa
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IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2023 An important high-precision building vector mapping method automatically delineates building polygons from high-resolution remote sensing images. Deep learning methods have greatly improved the accuracy of automatic building segmentation in remote ...
Jichong Yin, Fang Wu, Yuyang Qi
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A PROBLEM IN REGULAR POLYGONS [PDF]
School Science and Mathematics, 1918 n ...
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Nihon Kikai Gakkai ronbunshu, 2021 We propose the mechanism and control method of the air jet based parallel link actuator with 6 degrees of freedom. The rotor of the actuator is called a platform which is constructed by connecting multiple spheres that are located in vertex of a regular ...
Keiyu IWAYA +6 more
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Regularizing transformations of polygons
Journal of Geometry, 2017 We start with a generic n-gon \(Q_0\) with vertices \(q_{j,0}\) (\(j = 0, \dots , n-1\)) in the d-dimensional Euclidean space \({\mathbb {E}}^d\). Additionally, \(m+1\) real numbers \(u_0, \ldots , u_m \in {\mathbb {R}} \, (m < n)\) with \(\sum _{\mu = 0}^m u_\mu = 1\) are given. From these initial data we iteratively define generations of n-gons \(Q_k\
Johann Lang, Sybille Mick, Otto Röschel
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SIAM Journal on Discrete Mathematics, 2017 In this paper we study various versions of extension complexity for polygons through the study of factorization ranks of their slack matrices. In particular, we develop a new asymptotic lower bound for their nonnegative rank, shortening the gap between the current bounds, we introduce a new upper bound for their boolean rank, deriving from it some new ...
Pedro M. Silva +2 more
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METHODS FOR CONSTRUCTION OF ODD NUMBER POINTED POLYGONS
Journal of Industrial Design and Engineering Graphics, 2016 The purpose of this paper is to present methods for constructing of polygons with an odd number of sides, although some of them may not be built only with compass and straightedge.
Daniel Dobre
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