{"id":"https://openalex.org/W2914473116","doi":"https://doi.org/10.3390/sym11020184","title":"A New Ellipse or Math Porcelain Service","display_name":"A New Ellipse or Math Porcelain Service","publication_year":2019,"publication_date":"2019-02-04","ids":{"openalex":"https://openalex.org/W2914473116","doi":"https://doi.org/10.3390/sym11020184","mag":"2914473116"},"language":"en","primary_location":{"id":"doi:10.3390/sym11020184","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11020184","pdf_url":"https://www.mdpi.com/2073-8994/11/2/184/pdf?version=1550660984","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/2073-8994/11/2/184/pdf?version=1550660984","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056401582","display_name":"Valery Ochkov","orcid":"https://orcid.org/0000-0001-6844-5194"},"institutions":[{"id":"https://openalex.org/I4210158550","display_name":"Joint Institute for High Temperatures","ror":"https://ror.org/04gns8903","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210158550","https://openalex.org/I4210164537"]},{"id":"https://openalex.org/I171241948","display_name":"Moscow Power Engineering Institute","ror":"https://ror.org/05sa6gg87","country_code":"RU","type":"education","lineage":["https://openalex.org/I171241948"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Valery Ochkov","raw_affiliation_strings":["Joint Institute for High Temperatures of the Russian Academy of Science, 125412 Moscow, Russia","National Research University, Moscow Power Engineering Institute, 111250 Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Joint Institute for High Temperatures of the Russian Academy of Science, 125412 Moscow, Russia","institution_ids":["https://openalex.org/I4210158550"]},{"raw_affiliation_string":"National Research University, Moscow Power Engineering Institute, 111250 Moscow, Russia","institution_ids":["https://openalex.org/I171241948"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071913569","display_name":"Massimiliano Nori","orcid":"https://orcid.org/0000-0002-3898-9243"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Massimiliano Nori","raw_affiliation_strings":["Department, Universtity or Institution, Viale delle Mimose 18, 64025 Pineto (TE), Italy"],"affiliations":[{"raw_affiliation_string":"Department, Universtity or Institution, Viale delle Mimose 18, 64025 Pineto (TE), Italy","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074588394","display_name":"Ekaterina Borovinskaya","orcid":null},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"TU Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]},{"id":"https://openalex.org/I98642627","display_name":"St. Petersburg State Technological Institute","ror":"https://ror.org/0338jc112","country_code":"RU","type":"education","lineage":["https://openalex.org/I98642627"]}],"countries":["DE","RU"],"is_corresponding":true,"raw_author_name":"Ekaterina Borovinskaya","raw_affiliation_strings":["Saint-Petersburg State Institute of Technology (Technical University), 190013 St. Petersburg, Russia","Technische Universit\u00e4t Dresden, 01062 Dresden, Germany"],"affiliations":[{"raw_affiliation_string":"Saint-Petersburg State Institute of Technology (Technical University), 190013 St. Petersburg, Russia","institution_ids":["https://openalex.org/I98642627"]},{"raw_affiliation_string":"Technische Universit\u00e4t Dresden, 01062 Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058135429","display_name":"Wladimir Reschetilowski","orcid":null},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"TU Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]},{"id":"https://openalex.org/I98642627","display_name":"St. Petersburg State Technological Institute","ror":"https://ror.org/0338jc112","country_code":"RU","type":"education","lineage":["https://openalex.org/I98642627"]}],"countries":["DE","RU"],"is_corresponding":false,"raw_author_name":"Wladimir Reschetilowski","raw_affiliation_strings":["Saint-Petersburg State Institute of Technology (Technical University), 190013 St. Petersburg, Russia","Technische Universit\u00e4t Dresden, 01062 Dresden, Germany"],"affiliations":[{"raw_affiliation_string":"Saint-Petersburg State Institute of Technology (Technical University), 190013 St. Petersburg, Russia","institution_ids":["https://openalex.org/I98642627"]},{"raw_affiliation_string":"Technische Universit\u00e4t Dresden, 01062 Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5074588394"],"corresponding_institution_ids":["https://openalex.org/I78650965","https://openalex.org/I98642627"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":316,"currency":"EUR","value_usd":340},"fwci":8.7722,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.97268309,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"11","issue":"2","first_page":"184","last_page":"184"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13518","display_name":"Architecture and Computational Design","score":0.9642000198364258,"subfield":{"id":"https://openalex.org/subfields/2216","display_name":"Architecture"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13518","display_name":"Architecture and Computational Design","score":0.9642000198364258,"subfield":{"id":"https://openalex.org/subfields/2216","display_name":"Architecture"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9039999842643738,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/ellipse","display_name":"Ellipse","score":0.9733667373657227},{"id":"https://openalex.org/keywords/hyperbola","display_name":"Hyperbola","score":0.9471946954727173},{"id":"https://openalex.org/keywords/parabola","display_name":"Parabola","score":0.6472159624099731},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.4702291190624237},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45049890875816345},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.44012942910194397},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4395340383052826},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3887043595314026},{"id":"https://openalex.org/keywords/engineering-drawing","display_name":"Engineering drawing","score":0.38613778352737427},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.17243948578834534}],"concepts":[{"id":"https://openalex.org/C74261601","wikidata":"https://www.wikidata.org/wiki/Q40112","display_name":"Ellipse","level":2,"score":0.9733667373657227},{"id":"https://openalex.org/C145050668","wikidata":"https://www.wikidata.org/wiki/Q165301","display_name":"Hyperbola","level":2,"score":0.9471946954727173},{"id":"https://openalex.org/C205890394","wikidata":"https://www.wikidata.org/wiki/Q48297","display_name":"Parabola","level":2,"score":0.6472159624099731},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.4702291190624237},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45049890875816345},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.44012942910194397},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4395340383052826},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3887043595314026},{"id":"https://openalex.org/C199639397","wikidata":"https://www.wikidata.org/wiki/Q1788588","display_name":"Engineering drawing","level":1,"score":0.38613778352737427},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.17243948578834534}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym11020184","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11020184","pdf_url":"https://www.mdpi.com/2073-8994/11/2/184/pdf?version=1550660984","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:dd857be670b141a7a9ba3af39a05afe8","is_oa":true,"landing_page_url":"https://doaj.org/article/dd857be670b141a7a9ba3af39a05afe8","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 11, Iss 2, p 184 (2019)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/11/2/184/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/sym11020184","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","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym11020184","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11020184","pdf_url":"https://www.mdpi.com/2073-8994/11/2/184/pdf?version=1550660984","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/W2914473116.pdf","grobid_xml":"https://content.openalex.org/works/W2914473116.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W1984824893","https://openalex.org/W1985635493","https://openalex.org/W2089057223","https://openalex.org/W4240897641"],"related_works":["https://openalex.org/W2900703536","https://openalex.org/W2390599813","https://openalex.org/W2325628825","https://openalex.org/W1655344610","https://openalex.org/W1032920515","https://openalex.org/W4245060453","https://openalex.org/W2367703135","https://openalex.org/W2219641710","https://openalex.org/W4250038487","https://openalex.org/W1581294850"],"abstract_inverted_index":{"Egglipse":[0],"was":[1],"first":[2],"explored":[3],"by":[4,84],"Maxwell,":[5],"but":[6],"Descartes":[7],"discovered":[8],"a":[9,68,71],"way":[10],"to":[11,18,104],"modify":[12],"the":[13,50,54,111,135],"pins-and-string":[14],"construction":[15],"for":[16,77,120,140],"ellipses":[17,35,46],"produce":[19],"more":[20],"egg-shaped":[21],"curves.":[22],"There":[23],"are":[24,47,58,75,118,152],"no":[25],"examples":[26],"of":[27,33,53,110,113,125,127,137],"serious":[28],"scientific":[29],"and":[30,45,70,80,98,130,143,147],"practical":[31],"applications":[32],"Three-foci":[34,62],"until":[36],"now.":[37],"This":[38],"situation":[39],"can":[40,81,100],"be":[41,82,101],"changed":[42],"if":[43],"porcelain":[44,107,121,141],"combined.":[48],"In":[49],"introduced":[51,146],"concept":[52],"egg-ellipse,":[55],"unexplored":[56],"points":[57],"observed.":[59],"The":[60,86,92],"new":[61,87,106],"ellipse":[63],"with":[64],"an":[65],"equilateral":[66],"triangle,":[67],"square,":[69],"circle":[72],"as":[73],"\u201cfoci\u201d":[74],"presented":[76],"this":[78],"application":[79],"transformed":[83],"animation.":[85],"elliptic-hyperbolic":[88],"oval":[89],"is":[90,145],"presented.":[91],"other":[93],"two":[94],"similar":[95],"curves,":[96],"hyperbola":[97],"parabola,":[99],"also":[102],"used":[103],"create":[105],"designs.":[108],"Curves":[109],"order":[112],"3,":[114],"4,":[115],"5,":[116],"etc.":[117],"interesting":[119],"decoration.":[122],"An":[123],"idea":[124],"combining":[126],"3D":[128],"printer":[129,133],"2D":[131],"colour":[132],"in":[134,150],"form":[136],"2.5D":[138],"Printer":[139],"production":[142],"painting":[144],"listings":[148],"functions":[149],"Mathcad":[151],"provided.":[153]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2019-02-21T00:00:00"}