Results 11 to 20 of about 7,242 (307)
Stokes polyhedra for $X$-shaped polyminos [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 Consider a pair of $\textit{interlacing regular convex polygons}$, each with $2(n + 2)$ vertices, which we will be referring to as $\textit{red}$ and $\textit{black}$ ones.
Yu. Baryshnikov +3 more
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Regular Polygon Central Configuration of the Restricted 1 + N-Body Problem
Universe, 2023 We consider the central configurations of the 1+N-body problem, where N bodies are infinitesimal and the remaining one body is dominant. For regular polygon central configurations, we prove that the masses of all the infinitesimal bodies are equal when N
Jian Chen, Peng Bi, Mingfang Yang
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Some addition to the development of mathematical support for transport navigation [PDF]
E3S Web of Conferences, 2022 Formed in the 1960s, the classical methods of guaranteeing estimation are applied to provide navigation for various modes of transport. Many works of both foreign and domestic authors are devoted to the application of this method.
Ovchintsev Mikhail
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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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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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Distance Distributions in Regular Polygons [PDF]
IEEE Transactions on Vehicular Technology, 2013 This paper derives the exact cumulative density function of the distance between a randomly located node and any arbitrary reference point inside a regular $\el$-sided polygon. Using this result, we obtain the closed-form probability density function (PDF) of the Euclidean distance between any arbitrary reference point and its $n$-th neighbour node ...
Khalid, Zubair, Durrani, Salman
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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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