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Natural convection in a circular enclosure with an internal cylinder of regular polygon geometry
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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Note on the Chromatic Number of Minkowski Planes: The Regular Polygon Case [PDF]
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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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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Vortex Filament Equation for a Regular Polygon in the Hyperbolic Plane [PDF]
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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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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Entropy of mixing exists only for classical and quantum-like theories among the regular polygon theories [PDF]
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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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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