PARTIAL COVERING OF A CIRCLE BY EQUAL CIRCLES. PART I: THE MECHANICAL MODELS
作者： Tibor Tarnai , Zsolt Gáspár , Krisztián Hincz
DOI: 10.20382/JOCG.V5I1A6
关键词: Unit circle 、 Mathematics 、 Stiffness matrix 、 Tensegrity 、 Radius 、 Mathematical problem 、 Geometry 、 Structure (category theory) 、 Cover (topology) 、 Dynamic relaxation
摘要: How must n equal circles of given radius be placed so that they cover as great a part the area unit circle possible? To analyse this mathematical problem, mechanical models are introduced. A generalized tensegrity structure is associated with maximum configuration circles, whose equilibrium determined numerically method dynamic relaxation, and stability investigated by means stiffness matrix structure. In Part I, principles presented, while an application will shown in forthcoming II.
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