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Vortex Filament Equation for a Regular Polygon in the Hyperbolic Plane [PDF]
J Nonlinear Sci, 2020 The aim of this paper is twofold. First, we show the evolution of the vortex filament equation (VFE) for a regular planar polygon in the hyperbolic space.
Francisco de la Hoz +2 more
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Note on the Chromatic Number of Minkowski Planes: The Regular Polygon Case [PDF]
Studia scientiarum mathematicarum Hungarica (Print), 2023 The famous Hadwiger–Nelson problem asks for the minimum number of colors needed to color the points of the Euclidean plane so that no two points unit distance apart are assigned the same color.
Panna Geh'er
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Natural convection in a circular enclosure with an internal cylinder of regular polygon geometry
AIP Advances, 2019 This work presents a numerical investigation on the natural convection heat transfer in a circular enclosure with an internal cylinder at Ra=103-106 in both conduction and convection dominant regimes.
Yanping Wang, Jie Chen, Wei Zhang
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Constructive geometric generating of concave pyramids of fourth sort [PDF]
FME Transactions, 2021 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]
EPJ Web of Conferences, 2023 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]
E3S Web of Conferences, 2021 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]
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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Entropy of mixing exists only for classical and quantum-like theories among the regular polygon theories [PDF]
Journal of Physics A: Mathematical and Theoretical, 2018 The thermodynamical entropy of a system which consists of different kinds of ideal gases is known to be defined successfully in the case when the differences are described by classical or quantum theory.
Ryo Takakura
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, 2020 This study investigates distributed regular polygon formation control and obstacle avoidance problem for multi-robot systems with the leader–follower structure.
Zhuping Wang +4 more
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