@inbook{b50ed9a379c7491ebdbc8345c40bab38,

title = "The numbers lead a dance: Mathematics of the Sestina",

abstract = "Sestinas are poems of 39 lines comprising six verses of six lines each, and a three line final verse or {\textquoteleft}envoi{\textquoteright}. The structure of the sestina is built around word repetition rather than strict rhyme. Each verse uses the same set line ending words, but in a permuted order. The form of the permutation is highly specific, and is equivalent to iteration of the tent map. This paper considers for which number N of verses, other than 6, can a sestina-like poem be formed. That is, which N will the prescribed permutation lead to a poem of N verses where no two verses have the same order of their end words. In so doing, a link is found between permutation groups, chaotic dynamics, and Cunningham numbers.",

keywords = "Permutation Groups, Iterative Maps, Chaotic Dynamics, Sestina Poetry",

author = "Alan Champneys and Hjorth, {Poul G} and Harry Man",

year = "2018",

doi = "10.4171/186-1/3",

language = "English",

isbn = "9783037191866",

series = "EMS series of Congress reports",

publisher = "European Mathematical Society",

pages = "55--71",

booktitle = "Non-linear partial differential equations, mathematical physics, and stochastic analysis",

address = "Switzerland",

}