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arxiv: 1902.08995 · v1 · pith:W4KHPMNRnew · submitted 2019-02-24 · 🧮 math.MG

Extremal Cylinder Configurations II: Configuration O₆

classification 🧮 math.MG
keywords configurationconfigurationscylindercylindersdistanceequalextremalfunction
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We study the octahedral configurations $O_6$ of six equal cylinders touching the unit sphere. We show that the configuration $O_6$ is a local sharp maximum of the distance function. Thus it is not unlockable and, moreover, rigid.

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