Dissection Methods for Aperiodic Tilings: From Medieval Islamic Architecture to Quasicrystals
Tiling Theory studies how one might cover the plane with various shapes. Aperiodic tilings are nonperiodic patterns that cannot be rearranged to form periodic tilings. Examples of this aperiodic symmetry are found in a variety of places from medieval Islamic architecture to 20th Century Penrose tile...
محفوظ في:
| المؤلف الرئيسي: | |
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| منشور في: |
2014
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| الوصول للمادة أونلاين: | http://hdl.handle.net/20.500.12458/247 |
| الوسوم: |
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| _version_ | 1857415063508353025 |
|---|---|
| author | Tennant, Raymond |
| author_facet | Tennant, Raymond |
| author_role | author |
| dc.creator.none.fl_str_mv | Tennant, Raymond |
| dc.date.none.fl_str_mv | 2014 2018-11-23T07:11:07Z 2018-11-23T07:11:07Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | http://hdl.handle.net/20.500.12458/247 |
| dc.language.none.fl_str_mv | en |
| dc.relation.none.fl_str_mv | Conference of the International Journal of Arts & Sciences 3 7 343 348 |
| dc.title.none.fl_str_mv | Dissection Methods for Aperiodic Tilings: From Medieval Islamic Architecture to Quasicrystals |
| dc.type.none.fl_str_mv | Controlled Vocabulary for Resource Type Genres::text::periodical::journal::contribution to journal::journal article |
| description | Tiling Theory studies how one might cover the plane with various shapes. Aperiodic tilings are nonperiodic patterns that cannot be rearranged to form periodic tilings. Examples of this aperiodic symmetry are found in a variety of places from medieval Islamic architecture to 20th Century Penrose tilesand also characterize newly discovered quasicrystals. Construction techniques, other than the usual methods for producing periodic tilings, are required to successfully generate these aperiodic patterns. Historic manuscripts like the Topkapi Scrollprovide insight into how these intricate designs might have been produced in the past. This paper focuses on the discoveries of aperiodic symmetry with a brief historical perspective and examines the mathematics of dissection and iterative techniques for generating some well-known patterns. |
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| language_invalid_str_mv | en |
| network_acronym_str | sorbonner |
| network_name_str | Sorbonne University Abu Dhabi repository |
| oai_identifier_str | oai:depot.sorbonne.ae:20.500.12458/247 |
| publishDate | 2014 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
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| spelling | Dissection Methods for Aperiodic Tilings: From Medieval Islamic Architecture to QuasicrystalsTennant, RaymondTiling Theory studies how one might cover the plane with various shapes. Aperiodic tilings are nonperiodic patterns that cannot be rearranged to form periodic tilings. Examples of this aperiodic symmetry are found in a variety of places from medieval Islamic architecture to 20th Century Penrose tilesand also characterize newly discovered quasicrystals. Construction techniques, other than the usual methods for producing periodic tilings, are required to successfully generate these aperiodic patterns. Historic manuscripts like the Topkapi Scrollprovide insight into how these intricate designs might have been produced in the past. This paper focuses on the discoveries of aperiodic symmetry with a brief historical perspective and examines the mathematics of dissection and iterative techniques for generating some well-known patterns.2018-11-23T07:11:07Z2018-11-23T07:11:07Z2014Controlled Vocabulary for Resource Type Genres::text::periodical::journal::contribution to journal::journal articleapplication/pdfhttp://hdl.handle.net/20.500.12458/247enConference of the International Journal of Arts & Sciences37343348oai:depot.sorbonne.ae:20.500.12458/2472023-12-05T18:00:26Z |
| spellingShingle | Dissection Methods for Aperiodic Tilings: From Medieval Islamic Architecture to Quasicrystals Tennant, Raymond |
| title | Dissection Methods for Aperiodic Tilings: From Medieval Islamic Architecture to Quasicrystals |
| title_full | Dissection Methods for Aperiodic Tilings: From Medieval Islamic Architecture to Quasicrystals |
| title_fullStr | Dissection Methods for Aperiodic Tilings: From Medieval Islamic Architecture to Quasicrystals |
| title_full_unstemmed | Dissection Methods for Aperiodic Tilings: From Medieval Islamic Architecture to Quasicrystals |
| title_short | Dissection Methods for Aperiodic Tilings: From Medieval Islamic Architecture to Quasicrystals |
| title_sort | Dissection Methods for Aperiodic Tilings: From Medieval Islamic Architecture to Quasicrystals |
| url | http://hdl.handle.net/20.500.12458/247 |