Results 31 to 40 of about 1,012,550 (289)
Ars Mathematica Contemporanea, 2018 Summary: Let \(M = M(\Omega)\) be any triangle-free tiling of a planar polygonal region \(\Omega\) with regular polygons. We prove that its face vector \(f(M) = (f_3, f_4, f_5, \ldots)\), its symmetry group \(S(M)\) and the tiling \(M\) itself are uniquely determined by its boundary angles code \(c_a(M) = c_a(\Omega) = (t_1, \ldots, t_r)\), a cyclical ...
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On nonexistence of an integer regular polygon [PDF]
, 1998 In this paper we consider the question whether there is a regular polygon in the Cartesian coordinate system such that all of its coordinates are integers. We are not interested in the case of square since it is trivial.
Klobučar, D.
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CoRR, 2018 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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CQD Revista Eletrônica Paulista de MatemáticaEstimating 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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GelMA‐based 3D spheroids recapitulate transcriptomic and functional hallmarks of myeloid sarcoma
FEBS Open Bio, EarlyView.GelMA 5% hydrogels support the formation of myeloid leukemia spheroids that recapitulate MS‐specific features, including G1 arrest, apoptosis, and ECM‐driven transcriptomic reprogramming. The 3D model mimicked soft‐tissue‐like stiffness and oxygen conditions, and transcriptomic convergence with primary MS samples confirmed its utility as a preclinical ...
Nicolas Germain +11 more
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The Evolution of the Local Induction Approximation for a Regular Polygon *
ESAIM: Proceedings and Surveys, 2014 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
Journal of Hebei University of Science and Technology, 2017 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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Advanced Engineering Materials, EarlyView.Thermomechanical fatigue tests of laser beam powder bed fusion (PBF‐LB) Inconel 718 show that the additively manufactured material reaches almost the lifetimes of conventionally‐rolled material under no‐dwell conditions. Introducing dwell times at the maximum temperature markedly reduces the lifetimes due to pronounced grain boundary sliding associated
Stefan Guth +6 more
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Regular polygonal complexes in space, I [PDF]
Transactions of the American Mathematical Society, 2010 Regular polygonal complexes in euclidean 3 3 -space
Pellicer, Daniel, Schulte, Egon
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Advanced Engineering Materials, EarlyView.Binder‐free laser powder bed fusion of 8YSZ with a femtosecond laser is used to map process windows linking scan strategy, heat accumulation, and grain growth. Time‐resolved thermography and simulations reveal thermal regimes that enable continuous, vitrified, and fine‐grained 8YSZ surface layers without absorptive additives and demonstrate ...
Markus Kühn +5 more
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