{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T03:46:38Z","timestamp":1740109598689,"version":"3.37.3"},"reference-count":10,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2023,11,14]],"date-time":"2023-11-14T00:00:00Z","timestamp":1699920000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,11,14]],"date-time":"2023-11-14T00:00:00Z","timestamp":1699920000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/100000893","name":"Simons Foundation","doi-asserted-by":"publisher","award":["322515"],"award-info":[{"award-number":["322515"]}],"id":[{"id":"10.13039\/100000893","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Discrete Comput Geom"],"published-print":{"date-parts":[[2024,4]]},"DOI":"10.1007\/s00454-023-00607-9","type":"journal-article","created":{"date-parts":[[2023,11,14]],"date-time":"2023-11-14T15:02:29Z","timestamp":1699974149000},"page":"992-1002","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Distortion Reversal in Aperiodic Tilings"],"prefix":"10.1007","volume":"71","author":[{"given":"Louisa","family":"Barnsley","sequence":"first","affiliation":[],"role":[{"role":"author","vocab":"crossref"}]},{"given":"Michael","family":"Barnsley","sequence":"additional","affiliation":[],"role":[{"role":"author","vocab":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1022-1320","authenticated-orcid":false,"given":"Andrew","family":"Vince","sequence":"additional","affiliation":[],"role":[{"role":"author","vocab":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,11,14]]},"reference":[{"key":"607_CR1","doi-asserted-by":"publisher","first-page":"702","DOI":"10.1007\/s00454-012-9418-4","volume":"48","author":"S Akiyama","year":"2012","unstructured":"Akiyama, S.: A note on aperiodic Ammann tiles. Discrete Comput. Geom. 48, 702\u2013710 (2012)","journal-title":"Discrete Comput. Geom."},{"key":"607_CR2","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/BF02293033","volume":"8","author":"R Ammann","year":"1992","unstructured":"Ammann, R., Grunbaum, B., Shephard, G.C.: Aperiodic tiles. Discrete Comput. Geom. 8, 1\u201325 (1992)","journal-title":"Discrete Comput. Geom."},{"key":"607_CR3","doi-asserted-by":"publisher","first-page":"509","DOI":"10.1017\/S0143385798100457","volume":"18","author":"JE Anderson","year":"1998","unstructured":"Anderson, J.E., Putnam, I.F.: Topological invariants for substitution tilings and their associated C$$^{\\ast }$$-algebras. Ergod. Theory Dynam. Syst. 18, 509\u2013537 (1998)","journal-title":"Ergod. Theory Dynam. Syst."},{"key":"607_CR4","doi-asserted-by":"publisher","first-page":"577","DOI":"10.1007\/s00454-019-00074-1","volume":"63","author":"B Durand","year":"2020","unstructured":"Durand, B., Shen, A., Vereshchagin, N.: On the structure of Ammann A2 tilings. Discrete Comput. Geom. 63, 577\u2013606 (2020)","journal-title":"Discrete Comput. Geom."},{"key":"607_CR5","volume-title":"Tilings and Patterns","author":"B Gr\u00fcnbaum","year":"1987","unstructured":"Gr\u00fcnbaum, B., Shephard, G.S.: Tilings and Patterns. W. H. Freeman and Company, New York (1987)"},{"key":"607_CR6","doi-asserted-by":"publisher","first-page":"110","DOI":"10.1038\/scientificamerican0177-110","volume":"236","author":"M Gardner","year":"1977","unstructured":"Gardner, M.: Extraordinary nonperiodic tilings that enriches the theory of tiles. Sci. Am. 236, 110\u2013121 (1977)","journal-title":"Sci. Am."},{"key":"607_CR7","doi-asserted-by":"publisher","first-page":"10","DOI":"10.1007\/BF02985414","volume":"26","author":"M Senechal","year":"2004","unstructured":"Senechal, M.: The mysterious Mr. Ammann. Math. Intell. 26, 10\u201321 (2004)","journal-title":"Math. Intell."},{"key":"607_CR8","doi-asserted-by":"publisher","first-page":"220","DOI":"10.1016\/j.disc.2010.10.021","volume":"311","author":"JH Schmerl","year":"2011","unstructured":"Schmerl, J.H.: Dividing a polygon into two similar polygons. Discrete Math. 311, 220\u2013231 (2011)","journal-title":"Discrete Math."},{"key":"607_CR9","unstructured":"Steinhardt, P.J.: The second kind of impossible: the extraordinary quest for a new form of matter. Simon & Shuster (2018)"},{"key":"607_CR10","doi-asserted-by":"publisher","first-page":"199","DOI":"10.1080\/00107510902734680","volume":"50","author":"D Weaire","year":"2009","unstructured":"Weaire, D., River, N.: Soap, cells and statistics-random patterns in two dimensions. Contemp. Phys. 50, 199\u2013239 (2009)","journal-title":"Contemp. Phys."}],"container-title":["Discrete & Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-023-00607-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00454-023-00607-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-023-00607-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,14]],"date-time":"2024-03-14T17:08:50Z","timestamp":1710436130000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00454-023-00607-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,11,14]]},"references-count":10,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2024,4]]}},"alternative-id":["607"],"URL":"https:\/\/doi.org\/10.1007\/s00454-023-00607-9","relation":{},"ISSN":["0179-5376","1432-0444"],"issn-type":[{"type":"print","value":"0179-5376"},{"type":"electronic","value":"1432-0444"}],"subject":[],"published":{"date-parts":[[2023,11,14]]},"assertion":[{"value":"23 January 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 September 2023","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 October 2023","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"14 November 2023","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}