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arXiv · 1401.8242

More ties than we thought

Dan Hirsch·Ingemar Markström·Meredith L Patterson·Anders Sandberg·Mikael Vejdemo-Johansson
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Abstract

We extend the existing enumeration of neck tie-knots to include tie-knots with a textured front, tied with the narrow end of a tie. These tie-knots have gained popularity in recent years, based on reconstructions of a costume detail from The Matrix Reloaded, and are explicitly ruled out in the enumeration by Fink and Mao (2000). We show that the relaxed tie-knot description language that comprehensively describes these extended tie-knot classes is context free. It has a regular sub-language that covers all the knots that originally inspired the work. From the full language, we enumerate 266 682 distinct tie-knots that seem tie-able with a normal neck-tie. Out of these 266 682, we also enumerate 24 882 tie-knots that belong to the regular sub-language.

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Dan Hirsch, Ingemar Markström, Meredith L Patterson, Anders Sandberg, Mikael Vejdemo-Johansson. 2014-01-31. More ties than we thought. https://arxiv.org/abs/1401.8242

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