{"id":"https://openalex.org/W4407909650","doi":"https://doi.org/10.1007/s00454-025-00724-7","title":"Circular Nets with Spherical Parameter Lines and Terminating Laplace Sequences","display_name":"Circular Nets with Spherical Parameter Lines and Terminating Laplace Sequences","publication_year":2025,"publication_date":"2025-02-25","ids":{"openalex":"https://openalex.org/W4407909650","doi":"https://doi.org/10.1007/s00454-025-00724-7"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-025-00724-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-025-00724-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-025-00724-7.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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00454-025-00724-7.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109493283","display_name":"Alexander I. Bobenko","orcid":"https://orcid.org/0009-0008-0954-043X"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Alexander I. Bobenko","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Technische Universit\u00e4t Berlin, Str. des 17. Juni 136, 10623, Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Technische Universit\u00e4t Berlin, Str. des 17. Juni 136, 10623, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014329630","display_name":"Alexander Y. Fairley","orcid":"https://orcid.org/0009-0006-3489-7049"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Alexander Y. Fairley","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Technische Universit\u00e4t Berlin, Str. des 17. Juni 136, 10623, Berlin, Germany"],"raw_orcid":"https://orcid.org/0009-0006-3489-7049","affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Technische Universit\u00e4t Berlin, Str. des 17. Juni 136, 10623, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5014329630"],"corresponding_institution_ids":["https://openalex.org/I4577782"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":1.0768,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.77048015,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"75","issue":"1","first_page":"241","last_page":"290"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9855999946594238,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9855999946594238,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.984000027179718,"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"}},{"id":"https://openalex.org/T13267","display_name":"Advanced Theoretical and Applied Studies in Material Sciences and Geometry","score":0.983299970626831,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"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/normalization-property","display_name":"Normalization property","score":0.7470530271530151},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.5629397034645081},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4514448344707489},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3548969030380249},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3272925615310669},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23850864171981812}],"concepts":[{"id":"https://openalex.org/C159333733","wikidata":"https://www.wikidata.org/wiki/Q7051809","display_name":"Normalization property","level":2,"score":0.7470530271530151},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.5629397034645081},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4514448344707489},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3548969030380249},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3272925615310669},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23850864171981812},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00454-025-00724-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-025-00724-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-025-00724-7.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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00454-025-00724-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-025-00724-7","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-025-00724-7.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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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/G4438527755","display_name":null,"funder_award_id":"SFB/TRR 109","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320324094","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4407909650.pdf"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W1578517404","https://openalex.org/W1631396943","https://openalex.org/W1701606820","https://openalex.org/W1860635900","https://openalex.org/W1896659271","https://openalex.org/W1966282076","https://openalex.org/W1984281526","https://openalex.org/W1989153919","https://openalex.org/W2006188145","https://openalex.org/W2008383775","https://openalex.org/W2050109994","https://openalex.org/W2054750978","https://openalex.org/W2055410695","https://openalex.org/W2061380086","https://openalex.org/W2090917170","https://openalex.org/W2094040330","https://openalex.org/W2126495888","https://openalex.org/W2140549904","https://openalex.org/W2319560536","https://openalex.org/W2805505599","https://openalex.org/W2888009230","https://openalex.org/W2889375331","https://openalex.org/W2891358138","https://openalex.org/W2963422606","https://openalex.org/W2964054997","https://openalex.org/W2971098421","https://openalex.org/W3019817083","https://openalex.org/W3029727503","https://openalex.org/W3101631920","https://openalex.org/W3103930847","https://openalex.org/W3136222667","https://openalex.org/W3136599173","https://openalex.org/W3144571455","https://openalex.org/W3152592162","https://openalex.org/W4205113243","https://openalex.org/W4205946744","https://openalex.org/W4232115556","https://openalex.org/W4235745344","https://openalex.org/W4253143386","https://openalex.org/W4294408500","https://openalex.org/W4300866069","https://openalex.org/W4361225661","https://openalex.org/W6600154636","https://openalex.org/W6942127860"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1559627622","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298"],"abstract_inverted_index":{"Abstract":[0],"The":[1,39],"focus":[2],"is":[3,62],"on":[4],"circular":[5,23,44],"nets":[6,24,61,85,103],"with":[7,30,75,86,104,117],"one":[8,31,76,105],"or":[9,32,77,106],"two":[10,33,78,87,107],"families":[11,34,79,88,108],"of":[12,28,35,42,57,73,80,89,109,115],"spherical":[13,36,81,90,110],"parameter":[14,47,91,111],"lines,":[15],"which":[16],"are":[17,49,67,97,113,128],"treated":[18],"in":[19,55,130],"M\u00f6bius":[20],"geometry.":[21],"These":[22],"provide":[25],"a":[26],"discretisation":[27,54],"surfaces":[29,74],"curvature":[37,82],"lines.":[38,83],"special":[40],"cases":[41],"planar,":[43],"and":[45,132],"linear":[46],"lines":[48,92,112],"also":[50,63],"investigated.":[51],"A":[52],"Lie-geometric":[53],"terms":[56],"principal":[58],"contact":[59],"element":[60],"presented.":[64],"Its":[65],"properties":[66,72,95],"analogous":[68],"to":[69,99],"the":[70],"classical":[71],"Circular":[84,102],"have":[93,134],"geometric":[94],"that":[96,127,133],"related":[98],"Darboux":[100],"cyclides.":[101],"examples":[114],"Q-nets":[116,126],"terminating":[118,135],"Laplace":[119,136],"sequences.":[120,137],"More":[121],"generally,":[122],"this":[123],"article":[124],"considers":[125],"inscribed":[129],"quadrics":[131]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}
