Results 21 to 30 of about 6,671 (260)
A note on affinely regular polygons [PDF]
European Journal of Combinatorics, 2009 The affinely regular polygons in certain planar sets are characterized. It is also shown that the obtained results apply to cyclotomic model sets and, additionally, have consequences in the discrete tomography of these sets.
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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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Questions about the non-constructable polygon of Leon Battista Alberti
EGA, 2018 The process followed by Alberti when designing the façade of the Santa Maria Novella in Florence is well-known. This façade contains 48 ornamental elements which were created through the construction of regular polygons: 7 elements have a pentagonal base,
Albert Samper Sosa
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Nihon Kikai Gakkai ronbunshu, 2021 We propose the mechanism and control method of the air jet based parallel link actuator with 6 degrees of freedom. The rotor of the actuator is called a platform which is constructed by connecting multiple spheres that are located in vertex of a regular ...
Keiyu IWAYA +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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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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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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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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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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