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arXiv · 1507.03132

Expansive periodic mechanisms

Ciprian S. Borcea·Ileana Streinu
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Abstract

A one-parameter deformation of a periodic bar-and-joint framework is expansive when all distances between joints increase or stay the same. In dimension two, expansive behavior can be fully explained through our theory of periodic pseudo-triangulations. However, higher dimensions present new challenges. In this paper we study a number of periodic frameworks with expansive capabilities in dimension $d\geq 3$ and register both similarities and contrasts with the two-dimensional case.

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Ciprian S. Borcea, Ileana Streinu. 2015-07-11. Expansive periodic mechanisms. https://arxiv.org/abs/1507.03132

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