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A PROBLEM IN REGULAR POLYGONS [PDF]
School Science and Mathematics, 1918 n ...
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Regular Polygonal Partitions of a Tverberg Type [PDF]
Discrete & Computational Geometry, 2021 A seminal theorem of Tverberg states that any set of $T(r,d)=(r-1)(d+1)+1$ points in $\mathbb{R}^d$ can be partitioned into $r$ subsets whose convex hulls have non-empty $r$-fold intersection. Almost any collection of fewer points in $\mathbb{R}^d$ cannot be so divided, and in these cases we ask if the set can nonetheless be $P(r,d)$--partitioned, i.e.,
Leah Leiner, Steven Simon
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IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2023 An important high-precision building vector mapping method automatically delineates building polygons from high-resolution remote sensing images. Deep learning methods have greatly improved the accuracy of automatic building segmentation in remote ...
Jichong Yin, Fang Wu, Yuyang Qi
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Multi-point inerter array and rotation invariance of regular polygon inerter array
Results in EngineeringInerter 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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METHODS FOR CONSTRUCTION OF ODD NUMBER POINTED POLYGONS
Journal of Industrial Design and Engineering Graphics, 2016 The purpose of this paper is to present methods for constructing of polygons with an odd number of sides, although some of them may not be built only with compass and straightedge.
Daniel Dobre
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Double pyramidal central configurations of Newtonian (N+2)-body problem
Results in PhysicsFor double pyramidal central configurations of the Newtonian (N+2)-body problem where N point particles are positioned at the vertices of a regular N-polygon, and the (N+1)-th and (N+2)-th point-particles are positioned the opposite sides of the plane ...
Liang Ding, Jinrong Wang, Jinlong Wei
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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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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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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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