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arxiv: 1403.5913 · v1 · pith:L5Q5SRRRnew · submitted 2014-03-24 · 🧮 math.MG

Extremal Configuration of Robot Arms in Three Dimensions

classification 🧮 math.MG
keywords armsfunctionrobotvolumeconditionsconfigurationcriticaldefine
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We define a volume function for a robot arms in 3-dimensional Euclidean space and give geometric conditions for its critical points. For 3-arms this volume function is an exact topological Morse function on the 3-sphere.

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