Formation of a 3D Particle Array Actuated by Ultrasonic Traveling Waves in a Regular Polygon Resonator [PDF]
Acoustic radiation forces have been extensively studied regarding static particles, cell patterning, and dynamic transportation. Compared with standing wave manipulation, traveling wave manipulation can be more easily modulated in real time and has no ...
Fei Wan+7 more
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Buckling loads of columns of regular polygon cross-section with constant volume and clamped ends
A numerical method is developed for calculating the buckling loads of tapered columns of regular polygon cross-section with constant volume and both clamped ends. The linear, parabolic and sinusoidal tapers are considered in numerical examples. From the
Byoung Koo Lee, Sang Jin Oh, Guangfan Li
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Multi-point inerter array and rotation invariance of regular polygon inerter array
Inerter is a pure inertia two-terminal dynamic element. Physical implementations of inerters have made progress in control engineering, mechanical engineering, energy engineering and civil engineering. In this research, an interesting physical phenomenon,
Yuehao Li+6 more
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Constructive geometric generating of concave pyramids of fourth sort [PDF]
The paper presents the results of the study of the new set of polihedra, the Concave pyramids of the fourth sort, the construction procedures for generating them and their possible application.
Mišić Slobodan Ž.+1 more
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Polygons of quantized vortices in nonlinear photonic waveguides [PDF]
In a nonlinear optical waveguide with defocusing Kerr-type nonlinearity, we discuss the existence of a type of stationary nonlinear waves with propagation-invariant density profiles, consisting of vortices located at the vertices of a regular polygon ...
Michinel Humberto+2 more
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Parametric methods for constructing the Islamic ornament [PDF]
The article discusses the method of algorithmic construction of Islamic ornaments, which can be used as a decorative element in architectural design. Two necessary stages are highlighted in the generation of an ornamental motif by means of algorithmic ...
Nadyrshine Neil+4 more
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Stokes polyhedra for $X$-shaped polyminos [PDF]
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
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]
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
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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