Document Type

Article

Publication Date

2015

Publication Title

Proceedings of the IMA Conference on Mathematics of Robotics, 2015

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 ≥ 3 and register both similarities and contrasts with the two-dimensional case.

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Mathematics Commons

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