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Explorations of Gaussian curvature, mean curvature, and their combination (as interfacial curvature linked to packing parameter) are essential for understanding the dynamic self\u2010assembly processes, especially for the critical and classic lamellar\u2010to\u2010bicontinuous transition. However, whether intermediate states arising from the changes in these curvatures exist remains a long\u2010standing controversy. Herein, this issue is addressed by identifying a unique saddle\u2010shaped hierarchical lamellar phase in a binary self\u2010assembly system containing polystyrene\n                    <jats:italic>\u2010b\u2010<\/jats:italic>\n                    poly(acrylic acid) (PS\n                    <jats:italic>\u2010b\u2010<\/jats:italic>\n                    PAA) and stearyltrimethylammonium bromide (STAB). This intermediate phase exhibits characteristics with negative Gaussian curvature similar to bicontinuous phase while maintaining lamellar topologies. Its existence attributes to the competing effects of the inserted STAB micelles imposed on PAA segments: electrostatic screening reduces PAA effective volume, while volume expansion increases it. This competition balance promotes the lamellae toward saddle\u2010shapes with enhanced molecular capacity and modulates their interfacial curvature to a critical intermediate value that is rarely stable in block copolymer systems. The thermostability of this intermediate phase serves as compelling evidence for the smooth interfacial curvature evolution pathway. This discovery provides insights into phase transformations in biological membranes, marking a significant advance in understanding complex soft matter systems.\n                  <\/jats:p>","DOI":"10.1002\/smll.202508085","type":"journal-article","created":{"date-parts":[[2025,12,17]],"date-time":"2025-12-17T20:16:44Z","timestamp":1766002604000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Evolution of Curvatures Between Lamellar and Bicontinuous Phases: Formation of Saddle\u2010Shaped Hierarchical Lamellar Structures in Binary Self\u2010Assembly System"],"prefix":"10.1002","volume":"22","author":[{"given":"Shuqi","family":"Wang","sequence":"first","affiliation":[{"name":"Lab of Low\u2010Dimensional Materials Chemistry Key Laboratory for Ultrafine Materials of the Ministry of Education Frontiers Science Center for Materiobiology and Dynamic Chemistry Shanghai Engineering Research Center of Hierarchical Nanomaterials School of Materials Science and Engineering East China University of Science and Technology  Shanghai 200237 China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ya","family":"Li","sequence":"additional","affiliation":[{"name":"Lab of Low\u2010Dimensional Materials Chemistry Key Laboratory for Ultrafine Materials of the Ministry of Education Frontiers Science Center for Materiobiology and Dynamic Chemistry Shanghai Engineering Research Center of Hierarchical Nanomaterials School of Materials Science and Engineering East China University of Science and Technology  Shanghai 200237 China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Bin","family":"Yang","sequence":"additional","affiliation":[{"name":"Lab of Low\u2010Dimensional Materials Chemistry Key Laboratory for Ultrafine Materials of the Ministry of Education Frontiers Science Center for Materiobiology and Dynamic Chemistry Shanghai Engineering Research Center of Hierarchical Nanomaterials School of Materials Science and Engineering East China University of Science and Technology  Shanghai 200237 China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hao","family":"Chen","sequence":"additional","affiliation":[{"name":"Institute of Mathematical Sciences ShanghaiTech University  393 Middle Huaxia Road Shanghai 201210 China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lu","family":"Han","sequence":"additional","affiliation":[{"name":"School of Chemical Science and Engineering Tongji University  1239 Siping Road Shanghai 200092 China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yuanyuan","family":"Cao","sequence":"additional","affiliation":[{"name":"Lab of Low\u2010Dimensional Materials Chemistry Key Laboratory for Ultrafine Materials of the Ministry of Education Frontiers Science Center for Materiobiology and Dynamic Chemistry Shanghai Engineering Research Center of Hierarchical Nanomaterials School of Materials Science and Engineering East China University of Science and Technology  Shanghai 200237 China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5621-9528","authenticated-orcid":false,"given":"Yongsheng","family":"Li","sequence":"additional","affiliation":[{"name":"Lab of Low\u2010Dimensional Materials Chemistry Key Laboratory for Ultrafine Materials of the Ministry of Education Frontiers Science Center for Materiobiology and Dynamic Chemistry Shanghai Engineering Research Center of Hierarchical Nanomaterials School of Materials Science and Engineering East China University of Science and Technology  Shanghai 200237 China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2025,12,17]]},"reference":[{"key":"e_1_2_8_1_1","volume-title":"Elementary Differential Geometry","author":"O'Neill B.","year":"2006"},{"key":"e_1_2_8_2_1","volume-title":"Disquisitiones Generales Circa Superficies Curvas","author":"Gauss C. 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