{"id":225655,"created":"2025-01-19T01:25:09.604726+00:00","metadata":{"_oai":{"id":"oai:ipsj.ixsq.nii.ac.jp:00225655","sets":["1164:2592:11085:11247"]},"path":["11247"],"owner":"44499","recid":"225655","title":["直方体の格子展開図の重なり"],"pubdate":{"attribute_name":"公開日","attribute_value":"2023-05-03"},"_buckets":{"deposit":"d9402284-0166-4220-9207-524cf4549658"},"_deposit":{"id":"225655","pid":{"type":"depid","value":"225655","revision_id":0},"owners":[44499],"status":"published","created_by":44499},"item_title":"直方体の格子展開図の重なり","author_link":["597572","597573","597574"],"item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"直方体の格子展開図の重なり"}]},"item_type_id":"4","publish_date":"2023-05-03","item_4_text_3":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"九州工業大学"},{"subitem_text_value":"北陸先端科学技術大学院大学"},{"subitem_text_value":"北陸先端科学技術大学院大学"}]},"item_4_text_4":{"attribute_name":"著者所属(英)","attribute_value_mlt":[{"subitem_text_value":"Kyushu Institute of Technology","subitem_text_language":"en"},{"subitem_text_value":"Japan Advanced Institute of Science and Technology","subitem_text_language":"en"},{"subitem_text_value":"Japan Advanced Institute of Science and Technology","subitem_text_language":"en"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_publisher":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"情報処理学会","subitem_publisher_language":"ja"}]},"publish_status":"0","weko_shared_id":-1,"item_file_price":{"attribute_name":"Billing file","attribute_type":"file","attribute_value_mlt":[{"url":{"url":"https://ipsj.ixsq.nii.ac.jp/record/225655/files/IPSJ-AL23193004.pdf","label":"IPSJ-AL23193004.pdf"},"date":[{"dateType":"Available","dateValue":"2025-05-03"}],"format":"application/pdf","billing":["billing_file"],"filename":"IPSJ-AL23193004.pdf","filesize":[{"value":"347.4 kB"}],"mimetype":"application/pdf","priceinfo":[{"tax":["include_tax"],"price":"660","billingrole":"5"},{"tax":["include_tax"],"price":"330","billingrole":"6"},{"tax":["include_tax"],"price":"0","billingrole":"9"},{"tax":["include_tax"],"price":"0","billingrole":"44"}],"accessrole":"open_date","version_id":"a497c67d-67c6-42d4-977f-eaa52438858f","displaytype":"detail","licensetype":"license_note","license_note":"Copyright (c) 2023 by the Information Processing Society of Japan"}]},"item_4_creator_5":{"attribute_name":"著者名","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"塩田, 拓海"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"鎌田, 斗南"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"上原, 隆平"}],"nameIdentifiers":[{}]}]},"item_4_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN1009593X","subitem_source_identifier_type":"NCID"}]},"item_4_textarea_12":{"attribute_name":"Notice","attribute_value_mlt":[{"subitem_textarea_value":"SIG Technical Reports are nonrefereed and hence may later appear in any journals, conferences, symposia, etc."}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourceuri":"http://purl.org/coar/resource_type/c_18gh","resourcetype":"technical report"}]},"item_4_source_id_11":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"2188-8566","subitem_source_identifier_type":"ISSN"}]},"item_4_description_7":{"attribute_name":"論文抄録","attribute_value_mlt":[{"subitem_description":"多面体に対して，表面を切り開いて多角形を得る操作を展開と呼ぶ．得られる多角形を展開図と呼び，辺に沿って切り開く場合，これを辺展開図と呼ぶ．多面体の展開図は，周上に自己交差を持つ場合があり，これを展開図の重なりと呼ぶ．展開図の重なりについては，「全ての凸多面体は，重ならないよう辺展開できるか？」という未解決問題が知られている．一方で，多面体クラスと展開方法に一定の制限を加え，重なりを持つ展開図の有無を網羅的に調べた結果がいくつかある．その一つに，各面が単位正方形からなる直方体を，単位正方形の辺に沿って展開する格子展開の研究がある．宇野はサイズが 1 × 1 × 3 の直方体に対して，上原は 1 × 2 × 3 の直方体に対して，重なりを持つ格子展開図が存在することを示した．また，Hearn はサイズが 1 × 1 × 2 の直方体に対して，杉浦は 2 × 2 × 2 の立方体に対して，全ての格子展開図が重なりを持たないことを示した．本研究では，これらの結果をサイズが非整数の場合まで拡張した上で，重なりを持つ格子展開図の有無を完全に決定する．","subitem_description_type":"Other"}]},"item_4_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicPageEnd":"6","bibliographic_titles":[{"bibliographic_title":"研究報告アルゴリズム（AL）"}],"bibliographicPageStart":"1","bibliographicIssueDates":{"bibliographicIssueDate":"2023-05-03","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"4","bibliographicVolumeNumber":"2023-AL-193"}]},"relation_version_is_last":true,"weko_creator_id":"44499"},"updated":"2025-01-19T12:43:38.926215+00:00","links":{}}