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arXiv · 1308.4186

A 2-chain can interlock with an open 10-chain

Bin Lu·Joseph O'Rourke·Jianyuan K. Zhong
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Abstract

It is an open problem, posed in \cite{SoCG}, to determine the minimal $k$ such that an open flexible $k$-chain can interlock with a flexible 2-chain. It was first established in \cite{GLOSZ} that there is an open 16-chain in a trapezoid frame that achieves interlocking. This was subsequently improved in \cite{GLOZ} to establish interlocking between a 2-chain and an open 11-chain. Here we improve that result once more, establishing interlocking between a 2-chain and a 10-chain. We present arguments that indicate that 10 is likely the minimum.

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Bin Lu, Joseph O'Rourke, Jianyuan K. Zhong. 2013-08-19. A 2-chain can interlock with an open 10-chain. https://arxiv.org/abs/1308.4186

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