A 2-chain can interlock with an open 10-chain
Abstract
It is an open problem, posed in 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 GLOSZ that there is an open 16-chain in a trapezoid frame that achieves interlocking. This was subsequently improved in 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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