{"id":240977,"date":"2026-07-16T00:34:31","date_gmt":"2026-07-16T05:34:31","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2026\/07\/doughnut-shaped-topology-reveals-new-way-to-classify-knitting-crochet-and-other-textiles"},"modified":"2026-07-16T00:34:31","modified_gmt":"2026-07-16T05:34:31","slug":"doughnut-shaped-topology-reveals-new-way-to-classify-knitting-crochet-and-other-textiles","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2026\/07\/doughnut-shaped-topology-reveals-new-way-to-classify-knitting-crochet-and-other-textiles","title":{"rendered":"Doughnut\u2011shaped topology reveals new way to classify knitting, crochet and other textiles"},"content":{"rendered":"<p><a class=\"aligncenter blog-photo\" href=\"https:\/\/lifeboat.com\/blog.images\/doughnut-shaped-topology-reveals-new-way-to-classify-knitting-crochet-and-other-textiles.jpg\"><\/a><\/p>\n<p>Fabrics are made by repeatedly intertwining yarns into characteristic patterns. Many of their properties, such as stretchiness, arise not only from the material itself but also from how the yarns are arranged and entangled. Such properties illustrate how topology\u2014the underlying patterns of connectivity and entanglement within a structure\u2014can shape a material\u2019s overall behavior. Understanding these relationships could help researchers design materials with tailored properties through the design of their topology.<\/p>\n<p>A research team led by Dr. Daisuke S. Shimamoto, a senior researcher at the Research Organization of Science and Technology, Ritsumeikan University, Japan, along with Dr. Keiko Shimamoto, an independent researcher from Tokyo, Japan, Dr. Sonia Mahmoudi from Tohoku University, and Dr. Samuel Poincloux from Aoyama Gakuin University, has developed a mathematical framework based on knot theory for characterizing knittability and classifying periodic textile structures based on how defects spread through them. Their findings were published in <a href=\"https:\/\/doi.org\/10.1103\/g565-3dyn\" target=\"_blank\"><i>Physical Review X<\/i><\/a> on July 14, 2026.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Fabrics are made by repeatedly intertwining yarns into characteristic patterns. Many of their properties, such as stretchiness, arise not only from the material itself but also from how the yarns are arranged and entangled. Such properties illustrate how topology\u2014the underlying patterns of connectivity and entanglement within a structure\u2014can shape a material\u2019s overall behavior. Understanding these [\u2026]<\/p>\n","protected":false},"author":427,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1635,2229],"tags":[],"class_list":["post-240977","post","type-post","status-publish","format-standard","hentry","category-materials","category-mathematics"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/240977","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/users\/427"}],"replies":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/comments?post=240977"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/240977\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=240977"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=240977"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=240977"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}