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arXiv · 1406.0647

Pentapods with Mobility 2

Georg Nawratil·Josef Schicho
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Abstract

In this paper we give a full classification of all pentapods with mobility 2, where neither all platform anchor points nor all base anchor points are located on a line. Therefore this paper solves the famous Borel-Bricard problem for 2-dimensional motions beside the excluded case of five collinear points with spherical trajectories. But even for this special case we present three new types as a side-result. Based on our study of pentapods, we also give a complete list of all non-architecturally singular hexapods with 2-dimensional self-motions.

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Georg Nawratil, Josef Schicho. 2014-09-04. Pentapods with Mobility 2. https://arxiv.org/abs/1406.0647

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