Results 11 to 20 of about 71,329 (324)
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 ...
Goucha, António Pedro +2 more
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Constructing and Visualizing Uniform Tilings
Computers, 2023 This paper describes a system which takes user input of a pattern of regular polygons around one vertex and attempts to construct a uniform tiling with the same pattern at every vertex by adding one polygon at a time.
Nelson Max
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Spin-orbit induced interference in polygon-structures [PDF]
, 2004 We investigate the spin-orbit induced spin-interference pattern of ballistic electrons travelling along any regular polygon. It is found that the spin-interference depends strongly on the Rashba and Dresselhaus spin-orbit constants as well as on the ...
B. L. Al’tshuler +8 more
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A Regular Quaternion Polygon [PDF]
Canadian Mathematical Bulletin, 1959 Repeated application of the unitary reflectionsto the point (1,0) and line x + iy = 1 yields 24 points and 24 lines. These are the vertices and edges of the regular complex polygon 4 {3} 4 whose group has the abstract definition R4 = I, RSR = SRS [l]. The purpose of this note is to introduce the notion of regular quaternion polygon and give an example ...
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Calculations of Dihedral Groups Using Circular Indexation [PDF]
Mathematics Interdisciplinary Research, 2019 In this work, a regular polygon with n sides is described by a periodic (circular) sequence with period n. Each element of the sequence represents a vertex of the polygon.
Reza Dianat, Mojgan Mogharrab
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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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Journal of Water and Climate Change, 2021 The effects of climate change caused by global warming can be seen in changes of climate variables such as precipitation, humidity, and temperatures.
Gokmen Ceribasi, Ahmet Iyad Ceyhunlu
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Free vibration frequencies of prismatic thin shells [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаThe paper examines the natural frequencies of prismatic thin shells, the cross-section of which is the regular polygon. Spectra of free vibration frequencies of such shells are analyzed as the number of cross-section sides increases, provided that the ...
Dzebisashvili, Georgii Tamazovich +2 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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