{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T04:03:37Z","timestamp":1648699417644},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2010,8,4]],"date-time":"2010-08-04T00:00:00Z","timestamp":1280880000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Comput Geom"],"published-print":{"date-parts":[[2011,9]]},"DOI":"10.1007\/s00454-010-9278-8","type":"journal-article","created":{"date-parts":[[2010,8,3]],"date-time":"2010-08-03T07:48:00Z","timestamp":1280821680000},"page":"394-403","source":"Crossref","is-referenced-by-count":0,"title":["Aperiodic Tilings with One Prototile and Low Complexity Atlas Matching Rules"],"prefix":"10.1007","volume":"46","author":[{"given":"D.","family":"Fletcher","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2010,8,4]]},"reference":[{"key":"9278_CR1","doi-asserted-by":"crossref","first-page":"4637","DOI":"10.1088\/0305-4470\/24\/19\/025","volume":"19","author":"M. Baake","year":"1991","unstructured":"Baake, M., Schlottmann, M., Jarvis, P.D.: Quasiperiodic tilings with tenfold symmetry and equivalence with respect to local derivability. J. Phys. A 19, 4637\u20134654 (1991). MR1132337","journal-title":"J. Phys. A"},{"key":"9278_CR2","doi-asserted-by":"crossref","unstructured":"Berger, R.: The undecidability of the domino problem. Mem. Am. Math. Soc. 66 (1966)","DOI":"10.1090\/memo\/0066"},{"key":"9278_CR3","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1017\/S0143385705000623","volume":"26","author":"A. Clark","year":"2006","unstructured":"Clark, A., Sadun, L.: When shape matters: deformations of tiling spaces. Ergod. Theory Dyn. Syst. 26, 69\u201386 (2006). doi: 10.1017\/S0143385705000623","journal-title":"Ergod. Theory Dyn. Syst."},{"issue":"1\u20133","key":"9278_CR4","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1016\/S0012-365X(96)00118-5","volume":"160","author":"K. Culik II","year":"1996","unstructured":"Culik, K. II: An aperiodic set of 13 Wang tiles. Discrete Math. 160(1\u20133), 245\u2013251 (1996)","journal-title":"Discrete Math."},{"issue":"1\u20133","key":"9278_CR5","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1016\/0012-365X(95)00120-L","volume":"160","author":"J. Kari","year":"1996","unstructured":"Kari, J.: A small aperiodic set of Wang tiles. Discrete Math. 160(1\u20133), 259\u2013264 (1996)","journal-title":"Discrete Math."},{"issue":"10","key":"9278_CR6","first-page":"675","volume":"1","author":"J. Kari","year":"1995","unstructured":"Kari, J., Culik, K. II: An aperiodic set of Wang cubes. J. Univers. Comput. Sci. 1(10), 675\u2013686 (1995)","journal-title":"J. Univers. Comput. Sci."},{"key":"9278_CR7","unstructured":"Goodman-Strauss, C.: Open questions in tilings. January 10, 2000. http:\/\/comp.uark.edu\/~strauss\/papers\/survey.pdf"},{"key":"9278_CR8","volume-title":"Tilings and Patterns","author":"B. Gr\u00fcnbaum","year":"1987","unstructured":"Gr\u00fcnbaum, B., Shepherd, G.C.: Tilings and Patterns. W.H. Freeman, San Francisco (1987)"},{"key":"9278_CR9","doi-asserted-by":"crossref","unstructured":"Gummelt, P.: Penrose tilings as coverings of congruent decagons. Geom. Dedic. 62(1) (1996). doi: 10.1007\/BF00239998","DOI":"10.1007\/BF00239998"},{"key":"9278_CR10","doi-asserted-by":"crossref","first-page":"603","DOI":"10.1007\/s002220050153","volume":"128","author":"S. Mozes","year":"1997","unstructured":"Mozes, S.: Aperiodic tilings. Invent. Math. 128, 603\u2013611 (1997)","journal-title":"Invent. Math."},{"key":"9278_CR11","unstructured":"Myers, J.: http:\/\/www.srcf.ucam.org\/~jsm28\/tiling\/"},{"key":"9278_CR12","first-page":"266","volume":"10","author":"R. Penrose","year":"1974","unstructured":"Penrose, R.: Role of aesthetics in pure and applied research. Bull. Inst. Math. Appl. 10, 266\u2013271 (1974)","journal-title":"Bull. Inst. Math. Appl."},{"issue":"3","key":"9278_CR13","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1007\/BF01418780","volume":"12","author":"R.M. Robinson","year":"1971","unstructured":"Robinson, R.M.: Undecidability and nonperiodicity for tilings of the plane. Invent. Math. 12(3), 177\u2013209 (1971)","journal-title":"Invent. Math."},{"key":"9278_CR14","doi-asserted-by":"crossref","unstructured":"Sadun, L.: Topology of Tiling Spaces. University Lecture Series, vol. 46 (2008)","DOI":"10.1090\/ulect\/046"},{"key":"9278_CR15","doi-asserted-by":"crossref","unstructured":"Socolar, J.E.S.: More ways to tile with only one shape polygon. Math. Intell. 29(2) (2007). doi: 10.1007\/BF02986203","DOI":"10.1007\/BF02986203"},{"key":"9278_CR16","unstructured":"Socolar, J.E.S., Taylor, J.M.: An aperiodic hexagonal tile. http:\/\/arxiv.org\/abs\/1003.427"},{"issue":"1","key":"9278_CR17","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1002\/j.1538-7305.1961.tb03975.x","volume":"40","author":"H. Wang","year":"1961","unstructured":"Wang, H.: Proving theorems by pattern recognition II. Bell Syst. Tech. J. 40(1), 1\u201341 (1961)","journal-title":"Bell Syst. Tech. J."}],"container-title":["Discrete &amp; Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-010-9278-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00454-010-9278-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-010-9278-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T01:38:29Z","timestamp":1559353109000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00454-010-9278-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,8,4]]},"references-count":17,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2011,9]]}},"alternative-id":["9278"],"URL":"https:\/\/doi.org\/10.1007\/s00454-010-9278-8","relation":{},"ISSN":["0179-5376","1432-0444"],"issn-type":[{"value":"0179-5376","type":"print"},{"value":"1432-0444","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,8,4]]}}}