Work

De tessere quinquangula: five hundred years of pentagonal tilings from Dürer to Mackay via Kepler, Escher, and Penrose

Year: 2025

Type: article

Abstract: Albrecht Dürer began the mathematical study of pentagonal tilings five hundred years ago with the publication in 1525 of his textbook of mathematics Underweysung der Messung . A century later Johannes Kepler produced more elaborate and intricate pentagonal tilings. In the 20th century Maurits Escher made pentagonal tilings into art. Escher’s art–science interactions with Roger Penrose made the latter keep thinking about tilings; he made pentagonal tilings tile the plane aperiodically in 1974. And Alan Mackay built on and extended Penrose’s work to predict the existence of quasicrystals in 1981.

Source: Structural Chemistry

DOI: 10.1007/s11224-025-02652-x

Authors: Julyan H. E. Cartwright, Diego L. González

Institutions: Universidad de Granada, Instituto Andaluz de Ciencias de la Tierra, Institute of Nanostructured Materials, University of Bologna

Language: English

Topic: Quasicrystal Structures and Properties

Subfield: Materials Chemistry

Field: Materials Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,990

OpenAlex ID: W4415829551