Year: 2026
Type: article
Abstract: The recent discovery of a family of aperiodic monotiles, which includes David Smith's famous Hat, has shaken the field of plane tessellations. Music composers have already utilised the visual representation of plane tilings in their artwork (Tom Johnson through his use of Vuza's canons, talea and color in isorhythmic motets...). Constructions of the Hat from elementary geometric polygons provide a different perspective, for example through the sound transformation of microtonal intervals, as seen in Marisa Acuña's piece Le Chapeau à douze cornes.
Source: Journal of Mathematics and Music
Authors: Maria Luisa Acuña Fuentes, Édouard Thomas
Institutions: Université Paris 8, Université de Lorraine
Language: English
Subfield: Music
Field: Arts and Humanities
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W7125413819