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Yet periodic lattices may hard\u2010wire repeating weak features that promote tensile\u2010catastrophic fracture, whereas aperiodic networks erase this threat by relinquishing geometric modulation. In this work, a quasi\u2010periodic Dart\u2010Kite metastructure (QDK) is built, inspired by the order\u2010disorder synergy of skeletal muscle. Its golden\u2010ratio\u2010constrained geometry forms an intrinsic network of strong and weak bonds, enabling simultaneous improvements in strength, toughness and damage tolerance. QDK substantially surpasses the periodic structure, increasing initial fracture resistance and fracture energy by 211% and 133%, and achieving 1.7\u00d7 higher cyclic energy absorption. These gains arise from a dispersed stress field generated by the diverse unit orientations and connectivity, which enlarge the plastic zone and promote crack deflection, branching, and arrest. Mechanical performance and crack trajectories remain robust across orientations (&lt;2.5% variation). Introducing architected weak bonds, serving a role similar to the muscle Z\u2010line, provides controllable fracture pathways while preserving structural performance; notably, toughness rises further, with QDK\u2010D2 achieving a 24% increase. These features establish quasi\u2010periodicity as a design principle that unlocks the simultaneous realization of mechanical programmability and high fracture resistance, enabling tunable high\u2010toughness performance across both general and failure\u2010specific scenarios.<\/jats:p>","DOI":"10.1002\/advs.75413","type":"journal-article","created":{"date-parts":[[2026,4,20]],"date-time":"2026-04-20T13:52:38Z","timestamp":1776693158000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Topology\u2010Enriched Toughness Enhancement in Quasi\u2010Periodic Metastructures Featuring Tailorable Strong\u2010Weak Network"],"prefix":"10.1002","volume":"13","author":[{"given":"Tianyu","family":"Gao","sequence":"first","affiliation":[{"name":"Department of Engineering Mechanics Zhejiang University  Hangzhou Zhejiang China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7246-7238","authenticated-orcid":false,"given":"Genda","family":"Wang","sequence":"additional","affiliation":[{"name":"Institute of Advanced Equipment College of Energy Engineering Zhejiang University  Hangzhou Zhejiang China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jiabao","family":"Bai","sequence":"additional","affiliation":[{"name":"Department of Engineering Mechanics Zhejiang University  Hangzhou Zhejiang China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Kai","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Traffic &amp; Transportation Engineering Central South University  Changsha Hunan 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