A family of aperiodic tiling with infinitely many orientations

Authors

April Lynne D. Say-Awen, De La Salle University, Manila
Dirk Frettlöh, Universitat Bielefeld
Ma. Louise Antonette N. De Las Peñas, Ateneo de Manila University

College

College of Science

Department/Unit

Mathematics and Statistics Department

Document Type

Archival Material/Manuscript

Publication Date

2018

Abstract

To date, most tilings of the Euclidean plane have the property that their tiles appear in finitely many orientations (TFMO), and well-developed theories in the study of aperiodic tilings and tiling spaces assume the property TFMO. This paper provides examples of aperiodic tilings whose tiles occur in infinitely many orientations. The prototile sets of these tilings include triangle prototiles with irrational angles.

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Recommended Citation

Say-Awen, A. D., Frettlöh, D., & De Las Peñas, M. N. (2018). A family of aperiodic tiling with infinitely many orientations. Retrieved from https://animorepository.dlsu.edu.ph/faculty_research/5937

Disciplines

Mathematics

Note

"A paper presented at the Modern Algebraic Geometry - Silkroad Mathematics Center Series International Conference (Peking University, Beijing, China, 23-26 July 2018)

Keywords

Aperiodic tilings; Tiling spaces

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