{"id":"https://openalex.org/W1534756331","doi":null,"title":"Quasicrystals and geometry","display_name":"Quasicrystals and geometry","publication_year":1995,"publication_date":"1995-01-01","ids":{"openalex":"https://openalex.org/W1534756331","mag":"1534756331"},"language":"en","primary_location":{"id":"pmh:oai:aleph.bib-bvb.de:BVB01-006847617","doi":null,"is_oa":false,"landing_page_url":"http://bvbr.bib-bvb.de:8991/F?func=service&amp;doc_library=BVB01&amp;local_base=BVB01&amp;doc_number=006847617&amp;sequence=000002&amp;line_number=0001&amp;func_code=DB_RECORDS&amp;service_type=MEDIA","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032136859","display_name":"Marjorie Senechal","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Marjorie Senechal","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5032136859"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":12.0728,"has_fulltext":false,"cited_by_count":681,"citation_normalized_percentile":{"value":0.99284912,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11887","display_name":"Quasicrystal Structures and Properties","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11887","display_name":"Quasicrystal Structures and Properties","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quasicrystals","display_name":"quasicrystals","score":1.0},{"id":"https://openalex.org/keywords/diffraction-geometry","display_name":"diffraction geometry","score":0.8109999895095825},{"id":"https://openalex.org/keywords/voronoi-cells","display_name":"Voronoi cells","score":0.8009999990463257},{"id":"https://openalex.org/keywords/penrose-tiling","display_name":"Penrose tiling","score":0.8389999866485596},{"id":"https://openalex.org/keywords/aperiodic-order","display_name":"aperiodic order","score":0.8550000190734863},{"id":"https://openalex.org/keywords/lattices","display_name":"lattices","score":0.5540000200271606},{"id":"https://openalex.org/keywords/tiling","display_name":"tiling","score":0.34700000286102295}],"concepts":[{"id":"https://openalex.org/C203101518","wikidata":"https://www.wikidata.org/wiki/Q263214","display_name":"Quasicrystal","level":2,"score":0.914277195930481},{"id":"https://openalex.org/C104247578","wikidata":"https://www.wikidata.org/wiki/Q4779368","display_name":"Aperiodic graph","level":2,"score":0.8621881008148193},{"id":"https://openalex.org/C76513542","wikidata":"https://www.wikidata.org/wiki/Q585688","display_name":"Penrose tiling","level":3,"score":0.8493491411209106},{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.605449378490448},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.6027082204818726},{"id":"https://openalex.org/C21550011","wikidata":"https://www.wikidata.org/wiki/Q7632143","display_name":"Substitution tiling","level":2,"score":0.5556358695030212},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47161462903022766},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.43396881222724915},{"id":"https://openalex.org/C4107886","wikidata":"https://www.wikidata.org/wiki/Q906377","display_name":"Discrete geometry","level":2,"score":0.41430655121803284}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:aleph.bib-bvb.de:BVB01-006847617","doi":null,"is_oa":false,"landing_page_url":"http://bvbr.bib-bvb.de:8991/F?func=service&amp;doc_library=BVB01&amp;local_base=BVB01&amp;doc_number=006847617&amp;sequence=000002&amp;line_number=0001&amp;func_code=DB_RECORDS&amp;service_type=MEDIA","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:1534756331","doi":null,"is_oa":false,"landing_page_url":"http://www.gbv.de/dms/goettingen/153707976.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3139859698","https://openalex.org/W4385275562","https://openalex.org/W2064974649","https://openalex.org/W2068395975","https://openalex.org/W7219911511","https://openalex.org/W3006313506","https://openalex.org/W4394656085","https://openalex.org/W2008368926","https://openalex.org/W7096728143","https://openalex.org/W7172089745"],"abstract_inverted_index":{"Preface":[0],"1.":[1],"Past":[2],"as":[3],"prologue":[4],"2.":[5],"Lattices,":[6],"Voronoi":[7],"cells,":[8],"and":[9,23],"quasicrystals":[10],"3.":[11],"Introduction":[12],"to":[13],"diffraction":[14],"geometry":[15],"4.":[16],"Order":[17],"on":[18],"the":[19,29],"line":[20],"5.":[21],"Tiles":[22],"tilings":[24,27],"6.":[25],"Penrose":[26],"of":[28,38],"plane":[30],"7.":[31],"The":[32],"aperiodic":[33],"zoo":[34],"8.":[35],"An":[36],"atlas":[37],"tiling":[39],"transforms":[40],"Appendix":[41,46],"I.":[42],"A":[43],"mathematician's":[44],"toolbag":[45],"II.":[47],"De":[48],"Bruijn's":[49],"generalized":[50],"functions":[51],"References.":[52]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":20},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":19},{"year":2021,"cited_by_count":20},{"year":2020,"cited_by_count":27},{"year":2019,"cited_by_count":15},{"year":2018,"cited_by_count":15},{"year":2017,"cited_by_count":25},{"year":2016,"cited_by_count":25},{"year":2015,"cited_by_count":27},{"year":2014,"cited_by_count":24},{"year":2013,"cited_by_count":35},{"year":2012,"cited_by_count":34}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}
