A family of aperiodic tiling with infinitely many orientations

A family of aperiodic tiling with infinitely many orientations

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 i...

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Main Authors: Say-Awen, April Lynne D., Frettlöh, Dirk, De Las Peñas, Ma. Louise Antonette N.
Format: text
Published: Animo Repository 2018
Subjects:
Aperiodic tilings
Tiling spaces
Mathematics
Online Access:https://animorepository.dlsu.edu.ph/faculty_research/5937
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Institution: De La Salle University
id oai:animorepository.dlsu.edu.ph:faculty_research-6881
record_format eprints
spelling oai:animorepository.dlsu.edu.ph:faculty_research-68812022-06-01T01:44:53Z A family of aperiodic tiling with infinitely many orientations Say-Awen, April Lynne D. Frettlöh, Dirk De Las Peñas, Ma. Louise Antonette N. 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. 2018-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/faculty_research/5937 Faculty Research Work Animo Repository Aperiodic tilings Tiling spaces Mathematics
institution De La Salle University
building De La Salle University Library
continent Asia
country Philippines
Philippines
content_provider De La Salle University Library
collection DLSU Institutional Repository
topic Aperiodic tilings
Tiling spaces
Mathematics
spellingShingle Aperiodic tilings
Tiling spaces
Mathematics
Say-Awen, April Lynne D.
Frettlöh, Dirk
De Las Peñas, Ma. Louise Antonette N.
A family of aperiodic tiling with infinitely many orientations
description 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.
format text
author Say-Awen, April Lynne D.
Frettlöh, Dirk
De Las Peñas, Ma. Louise Antonette N.
author_facet Say-Awen, April Lynne D.
Frettlöh, Dirk
De Las Peñas, Ma. Louise Antonette N.
author_sort Say-Awen, April Lynne D.
title A family of aperiodic tiling with infinitely many orientations
title_short A family of aperiodic tiling with infinitely many orientations
title_full A family of aperiodic tiling with infinitely many orientations
title_fullStr A family of aperiodic tiling with infinitely many orientations
title_full_unstemmed A family of aperiodic tiling with infinitely many orientations
title_sort family of aperiodic tiling with infinitely many orientations
publisher Animo Repository
publishDate 2018
url https://animorepository.dlsu.edu.ph/faculty_research/5937
_version_ 1767196453268094976

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