{"id":"https://openalex.org/W7205017151","doi":"https://doi.org/10.15587/1729-4061.2026.367545","title":"Devising a technique for constructing helical architectural objects from curvilinear strips of constant width","display_name":"Devising a technique for constructing helical architectural objects from curvilinear strips of constant width","publication_year":2026,"publication_date":"2026-08-28","ids":{"openalex":"https://openalex.org/W7205017151","doi":"https://doi.org/10.15587/1729-4061.2026.367545"},"language":"en","primary_location":{"id":"doi:10.15587/1729-4061.2026.367545","doi":"https://doi.org/10.15587/1729-4061.2026.367545","is_oa":true,"landing_page_url":"https://doi.org/10.15587/1729-4061.2026.367545","pdf_url":"https://journals.uran.ua/eejet/article/download/367545/354798","source":{"id":"https://openalex.org/S2764476468","display_name":"Eastern-European Journal of Enterprise Technologies","issn_l":"1729-3774","issn":["1729-3774","1729-4061"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["erih-plus","poland-40"],"host_organization":"https://openalex.org/P4310320860","host_organization_name":"Kharkiv State Academy of Physical Culture","host_organization_lineage":["https://openalex.org/P4310320860"],"host_organization_lineage_names":["Kharkiv State Academy of Physical Culture"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Eastern-European Journal of Enterprise Technologies","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://journals.uran.ua/eejet/article/download/367545/354798","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089019321","display_name":"Andrii Nesvidomin","orcid":"https://orcid.org/0000-0002-9227-4652","observed_orcids":["https://orcid.org/0000-0002-9227-4652"]},"institutions":[{"id":"https://openalex.org/I208086522","display_name":"National University of Life and Environmental Sciences of Ukraine","ror":"https://ror.org/0441cbj57","country_code":"UA","type":"education","lineage":["https://openalex.org/I208086522"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Andrii Nesvidomin","raw_affiliation_strings":["National University of Life and Environmental Sciences of Ukraine"],"raw_orcid":"https://orcid.org/0000-0002-9227-4652","affiliations":[{"raw_affiliation_string":"National University of Life and Environmental Sciences of Ukraine","institution_ids":["https://openalex.org/I208086522"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004643453","display_name":"Serhii F. Pylypaka","orcid":"https://orcid.org/0000-0002-1496-4615","observed_orcids":["https://orcid.org/0000-0002-1496-4615"]},"institutions":[{"id":"https://openalex.org/I208086522","display_name":"National University of Life and Environmental Sciences of Ukraine","ror":"https://ror.org/0441cbj57","country_code":"UA","type":"education","lineage":["https://openalex.org/I208086522"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Serhii Pylypaka","raw_affiliation_strings":["National University of Life and Environmental Sciences of Ukraine"],"raw_orcid":"https://orcid.org/0000-0002-1496-4615","affiliations":[{"raw_affiliation_string":"National University of Life and Environmental Sciences of Ukraine","institution_ids":["https://openalex.org/I208086522"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014939824","display_name":"Mykhailo Kalenyk","orcid":"https://orcid.org/0000-0001-7416-4233","observed_orcids":["https://orcid.org/0000-0001-7416-4233"]},"institutions":[{"id":"https://openalex.org/I4210111657","display_name":"Sumy State Pedagogical University named after A. S. Makarenko","ror":"https://ror.org/020kwj692","country_code":"UA","type":"education","lineage":["https://openalex.org/I4210111657"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Mykhailo Kalenyk","raw_affiliation_strings":["Sumy State Pedagogical University named after A.S. Makarenko"],"raw_orcid":"https://orcid.org/0000-0001-7416-4233","affiliations":[{"raw_affiliation_string":"Sumy State Pedagogical University named after A.S. Makarenko","institution_ids":["https://openalex.org/I4210111657"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064020881","display_name":"Ivan Rogovskii","orcid":"https://orcid.org/0000-0002-6957-1616","observed_orcids":["https://orcid.org/0000-0002-6957-1616"]},"institutions":[{"id":"https://openalex.org/I208086522","display_name":"National University of Life and Environmental Sciences of Ukraine","ror":"https://ror.org/0441cbj57","country_code":"UA","type":"education","lineage":["https://openalex.org/I208086522"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Ivan Rogovskii","raw_affiliation_strings":["National University of Life and Environmental Sciences of Ukraine"],"raw_orcid":"https://orcid.org/0000-0002-6957-1616","affiliations":[{"raw_affiliation_string":"National University of Life and Environmental Sciences of Ukraine","institution_ids":["https://openalex.org/I208086522"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053654607","display_name":"Dmytro Borodai","orcid":"https://orcid.org/0000-0002-0771-9769","observed_orcids":["https://orcid.org/0000-0002-0771-9769","https://orcid.org/0009-0004-6128-6898"]},"institutions":[{"id":"https://openalex.org/I166349642","display_name":"Sumy National Agrarian University","ror":"https://ror.org/00vnaf984","country_code":"UA","type":"education","lineage":["https://openalex.org/I166349642"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Dmytro Borodai","raw_affiliation_strings":["Sumy National Agrarian University"],"raw_orcid":"https://orcid.org/0000-0002-0771-9769","affiliations":[{"raw_affiliation_string":"Sumy National Agrarian University","institution_ids":["https://openalex.org/I166349642"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076296687","display_name":"Dmytro Spirintsev","orcid":"https://orcid.org/0000-0001-5728-6626","observed_orcids":["https://orcid.org/0000-0001-5728-6626"]},"institutions":[{"id":"https://openalex.org/I4210104452","display_name":"Bogdan Khmelnitsky Melitopol State Pedagogical University","ror":"https://ror.org/01by48y20","country_code":"UA","type":"education","lineage":["https://openalex.org/I4210104452"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Dmytro Spirintsev","raw_affiliation_strings":["Bogdan Khmelnitsky Melitopol State Pedagogical University"],"raw_orcid":"https://orcid.org/0000-0001-5728-6626","affiliations":[{"raw_affiliation_string":"Bogdan Khmelnitsky Melitopol State Pedagogical University","institution_ids":["https://openalex.org/I4210104452"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084591382","display_name":"Vyacheslav Hropost","orcid":"https://orcid.org/0000-0001-9363-3955","observed_orcids":["https://orcid.org/0000-0001-9363-3955"]},"institutions":[{"id":"https://openalex.org/I208086522","display_name":"National University of Life and Environmental Sciences of Ukraine","ror":"https://ror.org/0441cbj57","country_code":"UA","type":"education","lineage":["https://openalex.org/I208086522"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Vyacheslav Hropost","raw_affiliation_strings":["National University of Life and Environmental Sciences of Ukraine"],"raw_orcid":"https://orcid.org/0000-0001-9363-3955","affiliations":[{"raw_affiliation_string":"National University of Life and Environmental Sciences of Ukraine","institution_ids":["https://openalex.org/I208086522"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5115678093","display_name":"\u0422. \u0421. \u041f\u0438\u043b\u0438\u043f\u0430\u043a\u0430","orcid":"https://orcid.org/0009-0000-5582-1859","observed_orcids":["https://orcid.org/0009-0000-5582-1859"]},"institutions":[{"id":"https://openalex.org/I4210095647","display_name":"National University of Water and Environmental Engineering","ror":"https://ror.org/00ppfcz28","country_code":"UA","type":"education","lineage":["https://openalex.org/I4210095647"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Taras Pylypaka","raw_affiliation_strings":["National University of Water and Environmental Engineering"],"raw_orcid":"https://orcid.org/0009-0000-5582-1859","affiliations":[{"raw_affiliation_string":"National University of Water and Environmental Engineering","institution_ids":["https://openalex.org/I4210095647"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068652969","display_name":"Yuriy Semirnenko","orcid":"https://orcid.org/0000-0002-4230-4614","observed_orcids":["https://orcid.org/0000-0002-4230-4614"]},"institutions":[{"id":"https://openalex.org/I166349642","display_name":"Sumy National Agrarian University","ror":"https://ror.org/00vnaf984","country_code":"UA","type":"education","lineage":["https://openalex.org/I166349642"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Yuriy Semirnenko","raw_affiliation_strings":["Sumy National Agrarian University"],"raw_orcid":"https://orcid.org/0000-0002-4230-4614","affiliations":[{"raw_affiliation_string":"Sumy National Agrarian University","institution_ids":["https://openalex.org/I166349642"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013776304","display_name":"\u0406\u0440\u0438\u043d\u0430 \u0417\u0430\u0445\u0430\u0440\u043e\u0432\u0430","orcid":"https://orcid.org/0000-0002-9693-5550","observed_orcids":["https://orcid.org/0000-0002-9693-5550"]},"institutions":[{"id":"https://openalex.org/I4210111657","display_name":"Sumy State Pedagogical University named after A. S. Makarenko","ror":"https://ror.org/020kwj692","country_code":"UA","type":"education","lineage":["https://openalex.org/I4210111657"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Irina Zakharova","raw_affiliation_strings":["Sumy State Pedagogical University named after A.S. Makarenko"],"raw_orcid":"https://orcid.org/0000-0002-9693-5550","affiliations":[{"raw_affiliation_string":"Sumy State Pedagogical University named after A.S. Makarenko","institution_ids":["https://openalex.org/I4210111657"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":225,"currency":"EUR","value_usd":242},"apc_paid":{"value":225,"currency":"EUR","value_usd":242},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":"1 (142)","first_page":"27","last_page":"33"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13518","display_name":"Architecture and Computational Design","score":0.49709999561309814,"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":0.49709999561309814,"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/T13267","display_name":"Advanced Theoretical and Applied Studies in Material Sciences and Geometry","score":0.4406999945640564,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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":0.05220000073313713,"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/helical-surfaces","display_name":"helical surfaces","score":0.9940000176429749},{"id":"https://openalex.org/keywords/sheet-metal-bending","display_name":"sheet metal bending","score":0.7379999756813049},{"id":"https://openalex.org/keywords/composite-surfaces","display_name":"composite surfaces","score":0.546999990940094},{"id":"https://openalex.org/keywords/sheet-metal-cutting","display_name":"sheet metal cutting","score":0.5910000205039978}],"concepts":[{"id":"https://openalex.org/C200925200","wikidata":"https://www.wikidata.org/wiki/Q7624170","display_name":"STRIPS","level":2,"score":0.8162999749183655},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.6140999794006348},{"id":"https://openalex.org/C161903591","wikidata":"https://www.wikidata.org/wiki/Q41159","display_name":"Rhombus","level":2,"score":0.5918999910354614},{"id":"https://openalex.org/C53118041","wikidata":"https://www.wikidata.org/wiki/Q45867","display_name":"Parallelogram","level":3,"score":0.5830000042915344},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5788999795913696},{"id":"https://openalex.org/C98343798","wikidata":"https://www.wikidata.org/wiki/Q1790208","display_name":"Curvilinear coordinates","level":2,"score":0.5680000185966492},{"id":"https://openalex.org/C98653994","wikidata":"https://www.wikidata.org/wiki/Q875937","display_name":"Isosceles triangle","level":2,"score":0.5629000067710876},{"id":"https://openalex.org/C176688298","wikidata":"https://www.wikidata.org/wiki/Q1072483","display_name":"Helicoid","level":2,"score":0.46140000224113464},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.426800012588501},{"id":"https://openalex.org/C160697094","wikidata":"https://www.wikidata.org/wiki/Q1233197","display_name":"Oblique case","level":2,"score":0.3971000015735626},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.3935000002384186},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.38659998774528503},{"id":"https://openalex.org/C2777042112","wikidata":"https://www.wikidata.org/wiki/Q5281658","display_name":"Discontinuity (linguistics)","level":2,"score":0.36480000615119934},{"id":"https://openalex.org/C151756577","wikidata":"https://www.wikidata.org/wiki/Q36810","display_name":"Quadrilateral","level":3,"score":0.3643999993801117},{"id":"https://openalex.org/C181773393","wikidata":"https://www.wikidata.org/wiki/Q336298","display_name":"Developable surface","level":3,"score":0.35760000348091125},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.35030001401901245},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.33970001339912415},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33309999108314514},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.3276999890804291},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.3271999955177307},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.32679998874664307},{"id":"https://openalex.org/C87210426","wikidata":"https://www.wikidata.org/wiki/Q1072476","display_name":"Bending","level":2,"score":0.31610000133514404},{"id":"https://openalex.org/C199631012","wikidata":"https://www.wikidata.org/wiki/Q205034","display_name":"Perpendicular","level":2,"score":0.3158999979496002},{"id":"https://openalex.org/C178186502","wikidata":"https://www.wikidata.org/wiki/Q226843","display_name":"M\u00f6bius strip","level":2,"score":0.3037000000476837},{"id":"https://openalex.org/C190538878","wikidata":"https://www.wikidata.org/wiki/Q50013","display_name":"Eccentricity (behavior)","level":2,"score":0.3005000054836273},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.2865000069141388},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.2816999852657318},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.2786000072956085},{"id":"https://openalex.org/C2777742833","wikidata":"https://www.wikidata.org/wiki/Q1964083","display_name":"Reciprocal","level":2,"score":0.27570000290870667},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.2515000104904175}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.15587/1729-4061.2026.367545","doi":"https://doi.org/10.15587/1729-4061.2026.367545","is_oa":true,"landing_page_url":"https://doi.org/10.15587/1729-4061.2026.367545","pdf_url":"https://journals.uran.ua/eejet/article/download/367545/354798","source":{"id":"https://openalex.org/S2764476468","display_name":"Eastern-European Journal of Enterprise Technologies","issn_l":"1729-3774","issn":["1729-3774","1729-4061"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["erih-plus","poland-40"],"host_organization":"https://openalex.org/P4310320860","host_organization_name":"Kharkiv State Academy of Physical Culture","host_organization_lineage":["https://openalex.org/P4310320860"],"host_organization_lineage_names":["Kharkiv State Academy of Physical Culture"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Eastern-European Journal of Enterprise Technologies","raw_type":"journal-article"},{"id":"pmh:oai:ojs.journals.uran.ua:article/367545","doi":null,"is_oa":true,"landing_page_url":"https://journals.uran.ua/eejet/article/view/367545","pdf_url":null,"source":{"id":"https://openalex.org/S4210228265","display_name":"The Scientific Issues of Ternopil Volodymyr Hnatiuk National Pedagogical University Series pedagogy","issn_l":"2311-6382","issn":["2311-6382","2415-3605"],"is_oa":true,"is_in_doaj":true,"is_core":false,"listed_in":["doaj","erih-plus"],"host_organization":"https://openalex.org/P4310322067","host_organization_name":"Ternopil Volodymyr Hnatiuk National Pedagogical University","host_organization_lineage":["https://openalex.org/P4310322067"],"host_organization_lineage_names":["Ternopil Volodymyr Hnatiuk National Pedagogical University"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"1729-3774","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.15587/1729-4061.2026.367545","doi":"https://doi.org/10.15587/1729-4061.2026.367545","is_oa":true,"landing_page_url":"https://doi.org/10.15587/1729-4061.2026.367545","pdf_url":"https://journals.uran.ua/eejet/article/download/367545/354798","source":{"id":"https://openalex.org/S2764476468","display_name":"Eastern-European Journal of Enterprise Technologies","issn_l":"1729-3774","issn":["1729-3774","1729-4061"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":["erih-plus","poland-40"],"host_organization":"https://openalex.org/P4310320860","host_organization_name":"Kharkiv State Academy of Physical Culture","host_organization_lineage":["https://openalex.org/P4310320860"],"host_organization_lineage_names":["Kharkiv State Academy of Physical Culture"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Eastern-European Journal of Enterprise Technologies","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7205017151.pdf","grobid_xml":"https://content.openalex.org/works/W7205017151.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W3040234939","https://openalex.org/W3108412126","https://openalex.org/W3175638518","https://openalex.org/W3195541941","https://openalex.org/W4223602187","https://openalex.org/W4225870321","https://openalex.org/W4286611158","https://openalex.org/W4389347754","https://openalex.org/W4390275700","https://openalex.org/W4400248566","https://openalex.org/W4407129075","https://openalex.org/W7117724071"],"related_works":["https://openalex.org/W7166811225","https://openalex.org/W4410039019","https://openalex.org/W4413059211","https://openalex.org/W6944020620","https://openalex.org/W3037571415","https://openalex.org/W4372101720","https://openalex.org/W4367157127","https://openalex.org/W4407141674","https://openalex.org/W7139799566","https://openalex.org/W7117724071"],"abstract_inverted_index":{"This":[0,66,84,106],"study":[1],"investigates":[2],"the":[3,13,27,51,55,88,103,119,125,128,131,135,138,150,154,164,176,180,193,222,240,251,273,276,284],"process":[4],"of":[5,15,29,34,50,57,63,80,90,95,130,137,149,153,166,175,182,190,221,231,247,250,260,275,286,292],"constructing":[6],"helical":[7,36,75,91,186,197,209,265],"surfaces":[8,40,92,116,144,148],"with":[9,78,211,236,289],"a":[10,20,60,69,73,184,195,208,213,225,229],"cross-section":[11,220],"in":[12,258],"form":[14],"an":[16,31],"isosceles":[17],"triangle":[18],"or":[19,263],"rhombus.":[21],"The":[22,219,245,267],"task":[23],"addressed":[24],"relates":[25],"to":[26,45,54,112,118,279],"impossibility":[28],"obtaining":[30],"accurate":[32],"sweep":[33],"non-sweep":[35,74,185],"surfaces.":[37,83],"Obtaining":[38],"such":[39,114],"from":[41,93],"approximate":[42],"sweeps":[43],"leads":[44],"shear":[46],"and":[47,59,134,201,256],"tensile":[48],"deformations":[49],"sheet":[52,96,287],"material,":[53],"formation":[56],"kinks":[58],"large":[61],"number":[62],"joining":[64],"seams.":[65],"requires":[67,169],"devising":[68],"technique":[70],"for":[71,87,269,282],"approximating":[72,183],"tubular":[76],"surface":[77,132,187,198,223],"strips":[79,94,141,189],"tangentially":[81],"spread":[82,143],"approach":[85,178],"allows":[86],"manufacture":[89],"material":[97],"by":[98,188,294],"simply":[99],"bending":[100,295],"them":[101],"into":[102],"desired":[104],"shape.":[105],"work\u2019s":[107],"results":[108,252],"make":[109],"it":[110],"possible":[111],"construct":[113],"composite":[115,196],"according":[117],"specified":[120],"design":[121,255],"parameters,":[122],"which":[123],"are":[124,142,146],"helix":[126],"\u2013":[127,133,207],"axis":[129,206],"shape":[136],"cross-section.":[139],"Individual":[140],"but":[145],"not":[147],"same":[151],"slope":[152],"generatrixes.":[155],"In":[156,192],"this":[157],"regard,":[158],"finding":[159],"their":[160],"sweeps,":[161],"that":[162],"is,":[163],"contours":[165],"flat":[167],"workpieces,":[168],"numerical":[170],"integration":[171],"methods.":[172],"A":[173],"feature":[174],"devised":[177],"is":[179,224,253,272],"possibility":[181],"sweeps.":[191],"work,":[194],"was":[199],"calculated":[200],"constructed":[202],"along":[203],"its":[204],"given":[205],"line":[210],"parameters":[212],"=":[214,217,234,243],"10,":[215],"b":[216],"5.":[218],"rhombus":[226],"described":[227],"around":[228],"circle":[230],"radius":[232],"r":[233],"1":[235],"acute":[237],"angles":[238],"at":[239],"vertex":[241],"2\u03c6":[242],"40\u00b0.":[244],"scope":[246],"practical":[248,270],"application":[249],"architectural":[254],"construction":[257],"terms":[259],"forming":[261],"load-bearing":[262],"decorative":[264],"elements.":[266],"condition":[268],"implementation":[271],"transfer":[274],"developed":[277],"algorithms":[278],"CAD/CAM":[280],"systems":[281],"automating":[283],"cutting":[285],"metal":[288],"subsequent":[290],"manufacturing":[291],"parts":[293]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-09-02T00:00:00"}
