{"id":"https://openalex.org/W2335283305","doi":"https://doi.org/10.3390/sym8040021","title":"Anomalous Mirror Symmetry Generated by Optical Illusion","display_name":"Anomalous Mirror Symmetry Generated by Optical Illusion","publication_year":2016,"publication_date":"2016-04-08","ids":{"openalex":"https://openalex.org/W2335283305","doi":"https://doi.org/10.3390/sym8040021","mag":"2335283305"},"language":"en","primary_location":{"id":"doi:10.3390/sym8040021","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym8040021","pdf_url":"https://www.mdpi.com/2073-8994/8/4/21/pdf?version=1460335807","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/8/4/21/pdf?version=1460335807","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088120934","display_name":"K\u014dkichi Sugihara","orcid":"https://orcid.org/0000-0001-8618-6894"},"institutions":[{"id":"https://openalex.org/I16656306","display_name":"Meiji University","ror":"https://ror.org/02rqvrp93","country_code":"JP","type":"education","lineage":["https://openalex.org/I16656306"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Kokichi Sugihara","raw_affiliation_strings":["Meiji Institute for the Advanced Study of Mathematical Sciences, Meiji University, 4-21-1 Nakano, Nakano-ku, Tokyo 164-8525, Japan"],"affiliations":[{"raw_affiliation_string":"Meiji Institute for the Advanced Study of Mathematical Sciences, Meiji University, 4-21-1 Nakano, Nakano-ku, Tokyo 164-8525, Japan","institution_ids":["https://openalex.org/I16656306"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5088120934"],"corresponding_institution_ids":["https://openalex.org/I16656306"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.325,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.59786814,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"8","issue":"4","first_page":"21","last_page":"21"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10427","display_name":"Visual perception and processing mechanisms","score":0.9589999914169312,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10427","display_name":"Visual perception and processing mechanisms","score":0.9589999914169312,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T12650","display_name":"Aesthetic Perception and Analysis","score":0.9563999772071838,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mirror-symmetry","display_name":"Mirror symmetry","score":0.8114892244338989},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.7665814161300659},{"id":"https://openalex.org/keywords/illusion","display_name":"Illusion","score":0.7405408620834351},{"id":"https://openalex.org/keywords/rotational-symmetry","display_name":"Rotational symmetry","score":0.6270296573638916},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.49466511607170105},{"id":"https://openalex.org/keywords/optical-illusion","display_name":"Optical illusion","score":0.4540477991104126},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.4461456835269928},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.44537168741226196},{"id":"https://openalex.org/keywords/reflection-symmetry","display_name":"Reflection symmetry","score":0.44057363271713257},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4116935133934021},{"id":"https://openalex.org/keywords/mirror-image","display_name":"Mirror image","score":0.4104361832141876},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.33741500973701477},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22961029410362244},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1286609172821045},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.12203434109687805},{"id":"https://openalex.org/keywords/cognitive-psychology","display_name":"Cognitive psychology","score":0.054804205894470215}],"concepts":[{"id":"https://openalex.org/C188374626","wikidata":"https://www.wikidata.org/wiki/Q5914418","display_name":"Mirror symmetry","level":2,"score":0.8114892244338989},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.7665814161300659},{"id":"https://openalex.org/C184047640","wikidata":"https://www.wikidata.org/wiki/Q182593","display_name":"Illusion","level":2,"score":0.7405408620834351},{"id":"https://openalex.org/C33026886","wikidata":"https://www.wikidata.org/wiki/Q593950","display_name":"Rotational symmetry","level":2,"score":0.6270296573638916},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.49466511607170105},{"id":"https://openalex.org/C139793654","wikidata":"https://www.wikidata.org/wiki/Q174923","display_name":"Optical illusion","level":3,"score":0.4540477991104126},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.4461456835269928},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.44537168741226196},{"id":"https://openalex.org/C133978748","wikidata":"https://www.wikidata.org/wiki/Q15955882","display_name":"Reflection symmetry","level":2,"score":0.44057363271713257},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4116935133934021},{"id":"https://openalex.org/C37482258","wikidata":"https://www.wikidata.org/wiki/Q2703478","display_name":"Mirror image","level":2,"score":0.4104361832141876},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.33741500973701477},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22961029410362244},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1286609172821045},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.12203434109687805},{"id":"https://openalex.org/C180747234","wikidata":"https://www.wikidata.org/wiki/Q23373","display_name":"Cognitive psychology","level":1,"score":0.054804205894470215}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym8040021","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym8040021","pdf_url":"https://www.mdpi.com/2073-8994/8/4/21/pdf?version=1460335807","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:b09a64e521e742d8bd01adab5213bbff","is_oa":true,"landing_page_url":"https://doaj.org/article/b09a64e521e742d8bd01adab5213bbff","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 8, Iss 4, p 21 (2016)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/8/4/21/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym8040021","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry; Volume 8; Issue 4; Pages: 21","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym8040021","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym8040021","pdf_url":"https://www.mdpi.com/2073-8994/8/4/21/pdf?version=1460335807","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2335283305.pdf","grobid_xml":"https://content.openalex.org/works/W2335283305.grobid-xml"},"referenced_works_count":11,"referenced_works":["https://openalex.org/W1186643870","https://openalex.org/W1490446652","https://openalex.org/W1980210902","https://openalex.org/W2044110514","https://openalex.org/W2050587424","https://openalex.org/W2067837430","https://openalex.org/W2087906938","https://openalex.org/W2119397482","https://openalex.org/W2139681849","https://openalex.org/W2165583138","https://openalex.org/W3037758200"],"related_works":["https://openalex.org/W579338242","https://openalex.org/W4324336864","https://openalex.org/W3165478642","https://openalex.org/W2286698916","https://openalex.org/W2364390342","https://openalex.org/W4382048909","https://openalex.org/W2244720149","https://openalex.org/W4382240899","https://openalex.org/W4285483476","https://openalex.org/W2044110514"],"abstract_inverted_index":{"This":[0,29],"paper":[1],"introduces":[2],"a":[3,35,53],"new":[4],"concept":[5],"of":[6,26,48],"mirror":[7,11],"symmetry,":[8],"called":[9],"\u201canomalous":[10],"symmetry\u201d,":[12],"which":[13],"is":[14,31,45],"physically":[15],"impossible":[16],"but":[17],"can":[18],"be":[19],"perceived":[20],"by":[21,52],"human":[22],"vision":[23],"systems":[24],"because":[25],"optical":[27],"illusion.":[28],"symmetry":[30,44],"characterized":[32],"geometrically":[33],"and":[34],"method":[36],"for":[37],"creating":[38],"cylindrical":[39],"surfaces":[40],"that":[41],"create":[42],"this":[43],"constructed.":[46],"Examples":[47],"solid":[49],"objects":[50],"constructed":[51],"3D":[54],"printer":[55],"are":[56],"also":[57],"shown.":[58]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}