{"created":"2023-07-25T08:14:09.313178+00:00","id":15119,"links":{},"metadata":{"_buckets":{"deposit":"a991fa25-a461-4770-8224-b5e3a81a230d"},"_deposit":{"created_by":29,"id":"15119","owners":[29],"pid":{"revision_id":0,"type":"depid","value":"15119"},"status":"published"},"_oai":{"id":"oai:ir.kagoshima-u.ac.jp:00015119","sets":["228:280:5960","41:42"]},"author_link":["135612"],"item_7_biblio_info_5":{"attribute_name":"収録雑誌名","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2020","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"7","bibliographicPageStart":"1","bibliographicVolumeNumber":"71","bibliographic_titles":[{"bibliographic_title":"鹿児島大学教育学部研究紀要. 自然科学編 ","bibliographic_titleLang":"ja"},{"bibliographic_title":"Bulletin of the Faculty of Education, Kagoshima University. Natural science ","bibliographic_titleLang":"en"}]}]},"item_7_date_6":{"attribute_name":"作成日","attribute_value_mlt":[{"subitem_date_issued_datetime":"2020","subitem_date_issued_type":"Issued"}]},"item_7_description_4":{"attribute_name":"要約(Abstract)","attribute_value_mlt":[{"subitem_description":"Many strapworks seen in medieval Islamic arts can be made by tessellating several kinds of girih tiles. The present paper studies tilings with the hexagonal girih tile. First we show that there exists a unique tiling with five-fold rotational symmetry. Next tilings that contain tree-like sub-patterns are introduced. Remarkably then can contain at most two tree-like sub-patterns. Finally all periodic tilings are determined. We show further that a similar way of making such periodic tilings can generate uncountably many aperiodic tilings.","subitem_description_language":"en","subitem_description_type":"Other"}]},"item_7_publisher_23":{"attribute_name":"公開者・出版者","attribute_value_mlt":[{"subitem_publisher":"鹿児島大学","subitem_publisher_language":"ja"},{"subitem_publisher":"Kagoshima University","subitem_publisher_language":"en"}]},"item_7_source_id_7":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"03896692","subitem_source_identifier_type":"PISSN"}]},"item_7_source_id_9":{"attribute_name":"NII書誌ID","attribute_value_mlt":[{"subitem_source_identifier":"AN00408518","subitem_source_identifier_type":"NCID"}]},"item_7_subject_15":{"attribute_name":"NDC","attribute_value_mlt":[{"subitem_subject":"410","subitem_subject_scheme":"NDC"}]},"item_7_version_type_14":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"ISOKAWA, Yukinao","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"135612","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2020-05-01"}],"displaytype":"detail","fileDate":[{"fileDateType":"Issued","fileDateValue":"2020"}],"filename":"AN00408518_v71_p1-7.pdf","filesize":[{"value":"230.2 kB"}],"format":"application/pdf","mimetype":"application/pdf","url":{"label":"AN00408518_v71_p1-7","objectType":"fulltext","url":"https://ir.kagoshima-u.ac.jp/record/15119/files/AN00408518_v71_p1-7.pdf"},"version_id":"12f3ca8c-a90c-4486-820c-2ecc8985b5bc"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"tiling","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"girih tile","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"periodicity","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"rotational symmetry","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Mathemaical Analysis of Hexagonal Tiling in Medieval Islamic Art","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Mathemaical Analysis of Hexagonal Tiling in Medieval Islamic Art","subitem_title_language":"en"}]},"item_type_id":"7","owner":"29","path":["42","5960"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2020-05-01"},"publish_date":"2020-05-01","publish_status":"0","recid":"15119","relation_version_is_last":true,"title":["Mathemaical Analysis of Hexagonal Tiling in Medieval Islamic Art"],"weko_creator_id":"29","weko_shared_id":-1},"updated":"2024-12-16T07:17:19.194818+00:00"}