{"id":"https://openalex.org/W2060189933","doi":"https://doi.org/10.1007/s00454-001-0034-y","title":"Disk-Like Self-Affine Tiles in R 2","display_name":"Disk-Like Self-Affine Tiles in R 2","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W2060189933","doi":"https://doi.org/10.1007/s00454-001-0034-y","mag":"2060189933"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-001-0034-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-001-0034-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-001-0034-y.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s00454-001-0034-y.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051180790","display_name":"Christoph Bandt","orcid":"https://orcid.org/0000-0002-6410-7144"},"institutions":[{"id":"https://openalex.org/I36522303","display_name":"Universit\u00e4t Greifswald","ror":"https://ror.org/00r1edq15","country_code":"DE","type":"education","lineage":["https://openalex.org/I36522303"]},{"id":"https://openalex.org/I2799318839","display_name":"Universit\u00e4tsmedizin Greifswald","ror":"https://ror.org/025vngs54","country_code":"DE","type":"education","lineage":["https://openalex.org/I2799318839"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"C. Bandt","raw_affiliation_strings":["Institut f\u00fcr Mathematik und Informatik, Arndt-Universit\u00e4t, 17487 Greifswald, Germany bandt@uni-greifswald.de, Germany","Institut f\u00fcr Mathematik und Informatik, Arndt-Universit\u00e4t, 17487 Greifswald, Germany bandt@uni-greifswald.de, Germany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik und Informatik, Arndt-Universit\u00e4t, 17487 Greifswald, Germany bandt@uni-greifswald.de, Germany","institution_ids":["https://openalex.org/I36522303","https://openalex.org/I2799318839"]},{"raw_affiliation_string":"Institut f\u00fcr Mathematik und Informatik, Arndt-Universit\u00e4t, 17487 Greifswald, Germany bandt@uni-greifswald.de, Germany#TAB#","institution_ids":["https://openalex.org/I36522303"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100392460","display_name":"Yadong Wang","orcid":"https://orcid.org/0000-0003-2067-382X"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Y. Wang","raw_affiliation_strings":["School of Mathematics, Georgia Institute of Technology,  Atlanta, GA 30332-0160, USA wang@math.gatech.edu, USA","School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA wang@math.gatech.edu, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Georgia Institute of Technology,  Atlanta, GA 30332-0160, USA wang@math.gatech.edu, USA","institution_ids":["https://openalex.org/I130701444"]},{"raw_affiliation_string":"School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA wang@math.gatech.edu, USA#TAB#","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5051180790"],"corresponding_institution_ids":["https://openalex.org/I2799318839","https://openalex.org/I36522303"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":4.8992,"has_fulltext":true,"cited_by_count":79,"citation_normalized_percentile":{"value":0.9552197,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"26","issue":"4","first_page":"591","last_page":"601"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9994999766349792,"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/T11887","display_name":"Quasicrystal Structures and Properties","score":0.9973000288009644,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9939000010490417,"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/mathematics","display_name":"Mathematics","score":0.7700524926185608},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6968297958374023},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5907068252563477},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.259461909532547}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7700524926185608},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6968297958374023},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5907068252563477},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.259461909532547}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00454-001-0034-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-001-0034-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-001-0034-y.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.15.3224","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.15.3224","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.gatech.edu/~wang/Reprints/disktile.pdf","raw_type":"text"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-62419","is_oa":false,"landing_page_url":"http://lbdiscover.ust.hk/uresolver?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rfr_id=info:sid/HKUST:SPI&rft.genre=article&rft.issn=0179-5376&rft.volume=26&rft.issue=4&rft.date=2001&rft.spage=591&rft.aulast=Bandt&rft.aufirst=C.&rft.atitle=Disk-like+self-affine+tiles+in+%E2%84%9D2&rft.title=Discrete+%26+Computational+Geometry","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:repository.ust.hk:1783.1-62419","is_oa":false,"landing_page_url":"http://repository.ust.hk/ir/Record/1783.1-62419","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1007/s00454-001-0034-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-001-0034-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-001-0034-y.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G221564594","display_name":"Self-Similarity, Tiling, and Wavelets","funder_award_id":"0070586","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320698","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49"},{"id":"https://openalex.org/F4320322942","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2060189933.pdf","grobid_xml":"https://content.openalex.org/works/W2060189933.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W120874746","https://openalex.org/W1594563152","https://openalex.org/W1979109450","https://openalex.org/W2002031800","https://openalex.org/W2046269549","https://openalex.org/W2062512227","https://openalex.org/W2064685239","https://openalex.org/W2081372452","https://openalex.org/W2084906042","https://openalex.org/W2092019061","https://openalex.org/W2128192154","https://openalex.org/W2138958715","https://openalex.org/W2144592703","https://openalex.org/W2152346798","https://openalex.org/W2168010319","https://openalex.org/W2325150659","https://openalex.org/W2911830987","https://openalex.org/W4254496037","https://openalex.org/W6631026436"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-25T08:17:42.794288","created_date":"2025-10-10T00:00:00"}
