Results 31 to 40 of about 6,671 (260)
A $\textit{regular polygon surface}$ $M$ is a surface graph $(Σ, Γ)$ together with a continuous map $ψ$ from $Σ$ into Euclidean 3-space which maps faces to regular Euclidean polygons. When $Σ$ is homeomorphic to the sphere and the degree of every face of $Γ$ is five, we prove that $M$ can be realized as the boundary of a union of dodecahedra glued ...
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Estimating the apothem of regular polygons may be required in academical and real-life situations such as for calculating the area of regular polygons and the volume of prisms and pyramids.
Sergio Roberto Peres Line +1 more
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The present study investigates recycling of NiTi shape memory alloys via vacuum induction melting. An ingot was synthesized from elemental Ni and Ti and subjected to three subsequent remelting cycles. Remelting increases process durations and impurity levels and adversely affects microstructures and functional properties.
Sakia Sophia Noorzayee +7 more
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The Evolution of the Local Induction Approximation for a Regular Polygon *
In this paper, we consider the so-called local induction approximation (LIA): $$ \Xt = \Xs\wedge\Xss, $$ X
de la Hoz Francisco, Vega Luis
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Research about the number of D-points of -tiling in given ellipse
An Archimedean tiling is a tiling of the plane by one type of regular polygon or several types of regular polygons, and every vertex of the tiling has the same vertex characteristics.
Xianglin WEI, Weiqi WANG
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Design and Analysis of Compression–Torsion Coupling Metamaterials Using the Golden Section Method
A novel compression–torsion metamaterial is engineered using inclined rods and symmetry breaking. To optimize its torsional performance, the golden section method is employed. The mechanical response of the metamaterial is validated through both numerical analysis and experimental validation.
Amirhossein Hassani, Sara Bagherifard
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Generalized Petersen graphs and Kronecker covers [PDF]
The family of generalized Petersen graphs $G(n,k)$, introduced by Coxeter et al. [4] and named by Mark Watkins (1969), is a family of cubic graphs formed by connecting the vertices of a regular polygon to the corresponding vertices of a star polygon. The
Matjaž Krnc, Tomaž Pisanski
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A tree‐inspired hydrogel interfacial reactor couples solar evaporation with photocatalysis for simultaneous desalination and waste water treatment. The bilayer design achieves 2.14 kg·m−2·h−1 evaporation rate with 79% dye degradation under one sun, demonstrating that photothermal heating and evaporation induced pollutant enrichment create a self ...
Yan Zhao +4 more
wiley +1 more source
Distance Distributions in Regular Polygons [PDF]
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 ...
Zubair Khalid, Salman Durrani
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Monolithic UV‐ozone oxidation of Ta forms an ultrathin Ta2O5/TaOx bilayer enabling resistive switching with a vertical defect gradient. A stoichiometric surface layer over an oxygen‐deficient sublayer promotes localized filament nucleation near the top interface, enabling low‐voltage operation, and reduced cycle‐to‐cycle variability.
Seunghoon Yang +11 more
wiley +1 more source

