Results 11 to 20 of about 6,671 (260)
A Regular Quaternion Polygon [PDF]
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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Constructing and Visualizing Uniform Tilings
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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A PROBLEM IN REGULAR POLYGONS [PDF]
n ...
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Calculations of Dihedral Groups Using Circular Indexation [PDF]
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
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
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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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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Some addition to the development of mathematical support for transport navigation [PDF]
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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Free vibration frequencies of prismatic thin shells [PDF]
The 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]
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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