{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,30]],"date-time":"2025-10-30T11:39:07Z","timestamp":1761824347995,"version":"3.37.3"},"reference-count":33,"publisher":"Oxford University Press (OUP)","issue":"1","license":[{"start":{"date-parts":[[2022,2,2]],"date-time":"2022-02-02T00:00:00Z","timestamp":1643760000000},"content-version":"vor","delay-in-days":1,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001691","name":"JSPS","doi-asserted-by":"publisher","award":["JP20J10739"],"award-info":[{"award-number":["JP20J10739"]}],"id":[{"id":"10.13039\/501100001691","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001695","name":"JST","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100001695","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003382","name":"CREST","doi-asserted-by":"publisher","award":["JPMJCR1911"],"award-info":[{"award-number":["JPMJCR1911"]}],"id":[{"id":"10.13039\/501100003382","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2022,2,2]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>Origami tessellations are geometric pieces folded from a single sheet of paper with flatly overlapped facets. Most existing origami tessellations are constructed by first marking a grid of crease lines on the paper and then arranging repeating patterns along the grid. However, this design method is limited because it cannot design origami tessellations with patterns that cannot be represented on a grid, such as a regular pentagon. This paper proposes a new construction method for origami tessellations that solves this problem and enriches these varieties. In the proposed method, a boundary of an origami tessellation is determined first, and then patterns called triangle twist fold patterns are placed inside the boundary. A similar approach is known as a hole problem, although in this paper, the problem is redefined and discussed in a form suitable for origami tessellations. As a result, a grid-independent construction method was proposed, and new origami tessellations were obtained by using software that implements the method.<\/jats:p>","DOI":"10.1093\/jcde\/qwab074","type":"journal-article","created":{"date-parts":[[2021,11,17]],"date-time":"2021-11-17T12:11:00Z","timestamp":1637151060000},"page":"144-154","source":"Crossref","is-referenced-by-count":4,"title":["Method for solving origami tessellation hole problem using triangle twist folding"],"prefix":"10.1093","volume":"9","author":[{"given":"Yohei","family":"Yamamoto","sequence":"first","affiliation":[{"name":"Degree Programs in Systems and Information Engineering, University of Tsukuba, 1-1-1 Tennoh-dai, Ibaraki 305-0006, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Riku","family":"Nakazato","sequence":"additional","affiliation":[{"name":"Degree Programs in Systems and Information Engineering, University of Tsukuba, 1-1-1 Tennoh-dai, Ibaraki 305-0006, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jun","family":"Mitani","sequence":"additional","affiliation":[{"name":"Degree Programs in Systems and Information Engineering, University of Tsukuba, 1-1-1 Tennoh-dai, Ibaraki 305-0006, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"286","published-online":{"date-parts":[[2022,2,2]]},"reference":[{"key":"2022021506240881600_bib1","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1201\/b15735-14","article-title":"Computer tools and algorithms for origami tessellation design","volume-title":"Origami3: Proceedings of the 3rd International Meeting of Origami Science, Mathematics, and Education","author":"Bateman","year":"2002"},{"key":"2022021506240881600_bib2","first-page":"175","article-title":"The complexity of flat 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