More ties than we thought
2015 (English)In: PeerJ, ISSN 2167-8359, E-ISSN 2167-8359, Vol. 2015, no 1, e2Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
PeerJ Inc. , 2015. Vol. 2015, no 1, e2
Automata, Chomsky hierarchy, Formal language, Generating functions, Necktie knots, human, human experiment, language, neck, thinking
IdentifiersURN: urn:nbn:se:kth:diva-202909DOI: 10.7717/peerj-cs.2ScopusID: 2-s2.0-84999035283OAI: oai:DiVA.org:kth-202909DiVA: diva2:1079119
QC 201703072017-03-072017-03-072017-03-07Bibliographically approved