{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,2]],"date-time":"2026-06-02T20:06:41Z","timestamp":1780430801791,"version":"3.54.1"},"reference-count":11,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[1989,1,1]],"date-time":"1989-01-01T00:00:00Z","timestamp":599616000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":8963,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Mathematics"],"published-print":{"date-parts":[[1989]]},"DOI":"10.1016\/0012-365x(89)90282-3","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T03:43:43Z","timestamp":1027655023000},"page":"1-7","source":"Crossref","is-referenced-by-count":62,"title":["Three-dimensional analogs of the planar penrose tilings and quasicrystals"],"prefix":"10.1016","volume":"76","author":[{"given":"L.","family":"Danzer","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"10.1016\/0012-365X(89)90282-3_BIB1","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1016\/1385-7258(81)90016-0","article-title":"Algebraic theory of Penrose's non-periodic tilings","volume":"84","author":"de Bruijn","year":"1981","journal-title":"Nederl. Akad. Wetensch. Proc. Ser. A"},{"key":"10.1016\/0012-365X(89)90282-3_BIB2","series-title":"Tilings and Patterns","author":"Gr\u00fcnbaum","year":"1987"},{"key":"10.1016\/0012-365X(89)90282-3_BIB3","first-page":"9","article-title":"The Penrose pisces","volume":"8","author":"Guy","year":"1976","journal-title":"Bull. London Math. Soc."},{"key":"10.1016\/0012-365X(89)90282-3_BIB4","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1007\/BF01218580","article-title":"Theory of matching rules for the 3-dimensional Penrose tilings","volume":"118","author":"Katz","year":"1988","journal-title":"Commun. Math. Phys."},{"key":"10.1016\/0012-365X(89)90282-3_BIB5","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1107\/S0567739482000552","article-title":"Non-periodic central spacefilling with icosahedral symmetry using copies of seven elementary cells","volume":"38","author":"Kramer","year":"1982","journal-title":"Acta Cryst. A"},{"key":"10.1016\/0012-365X(89)90282-3_BIB6","unstructured":"P. Kramer, Space-group theory for a non-periodic icosahedral quasilattice, J. Math. Phys. (to appear)."},{"key":"10.1016\/0012-365X(89)90282-3_BIB7","doi-asserted-by":"crossref","first-page":"580","DOI":"10.1107\/S0108767384001203","article-title":"On periodic and non-periodic space fillings on Em obtained by projections","volume":"40","author":"Kramer","year":"1984","journal-title":"Acta Cryst. A"},{"key":"10.1016\/0012-365X(89)90282-3_BIB8","doi-asserted-by":"crossref","first-page":"32","DOI":"10.1038\/scientificamerican0886-42","article-title":"Quasicrystals","volume":"255","author":"Nelson","year":"1986","journal-title":"Scient. Amer."},{"key":"10.1016\/0012-365X(89)90282-3_BIB9","first-page":"16","article-title":"Pentaplexity","volume":"39","author":"Penrose","year":"1978","journal-title":"Eureka"},{"key":"10.1016\/0012-365X(89)90282-3_BIB10","doi-asserted-by":"crossref","first-page":"1951","DOI":"10.1103\/PhysRevLett.53.1951","article-title":"Metallic phase with long-range orientational order and no translational symmetry","volume":"53","author":"Shechtman","year":"1984","journal-title":"Phys. Rev. Letter"},{"key":"10.1016\/0012-365X(89)90282-3_BIB11","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1107\/S0108767387009279","article-title":"Some generalized Penrose patterns from projections of n-dimensional lattices","volume":"44","author":"Whittaker","year":"1988","journal-title":"Acta Cryst. A"}],"container-title":["Discrete Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0012365X89902823?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0012365X89902823?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,13]],"date-time":"2019-04-13T05:51:07Z","timestamp":1555134667000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0012365X89902823"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1989]]},"references-count":11,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1989]]}},"alternative-id":["0012365X89902823"],"URL":"https:\/\/doi.org\/10.1016\/0012-365x(89)90282-3","relation":{},"ISSN":["0012-365X"],"issn-type":[{"value":"0012-365X","type":"print"}],"subject":[],"published":{"date-parts":[[1989]]}}}