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 & 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.
CITATION STYLE
Hirsch, D., Markström, I., Patterson, M. L., Sandberg, A., & Vejdemo-Johansson, M. (2015). More ties than we thought. PeerJ Computer Science, 2015(5). https://doi.org/10.7717/peerj-cs.2
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