{"id":1110,"date":"2025-12-12T11:07:57","date_gmt":"2025-12-12T11:07:57","guid":{"rendered":"https:\/\/inventorics.com\/?p=1110"},"modified":"2025-12-12T11:07:57","modified_gmt":"2025-12-12T11:07:57","slug":"cluster-1-pattern-malleability","status":"publish","type":"post","link":"https:\/\/inventorics.com\/?p=1110","title":{"rendered":"Cluster 1: pattern malleability"},"content":{"rendered":"\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"416\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2025\/12\/fig6_cmyk-Kopie-1024x416.jpg\" alt=\"\" class=\"wp-image-1111\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2025\/12\/fig6_cmyk-Kopie-1024x416.jpg 1024w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/12\/fig6_cmyk-Kopie-300x122.jpg 300w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/12\/fig6_cmyk-Kopie-768x312.jpg 768w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/12\/fig6_cmyk-Kopie-1536x624.jpg 1536w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/12\/fig6_cmyk-Kopie-2048x832.jpg 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Besides varying capabilities for adapting to form variation of constituent parts, the surface-based bike-frame aggregations we <a href=\"https:\/\/inventorics.com\/?p=656\">studied previously<\/a>, also have different bending flexibility.<\/p>\n\n\n\n<!--more-->\n\n\n\n<p class=\"wp-block-paragraph\">The main reason for the kinetic adaptability of these assemblies is the use of <strong>rotational axes<\/strong> as connections between frames. We had the idea, that besides the implementation of varying geometries, this adaptability could perhaps also be used to bend the entire bike-meshes into different forms and with that introduce another level of <strong>design control<\/strong> that operates from a top-down direction.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This study was also published in our <a href=\"https:\/\/www.taylorfrancis.com\/books\/oa-edit\/10.1201\/9781003658641\/structures-architecture-mario-rinke-marie-frier-hvejsel?context=ubx&amp;refId=7d0abd4e-8bce-4f43-8182-193cf9033d75\">paper<\/a> that we presented at the <a href=\"https:\/\/www.icsa2025.com\">ICSA 2025<\/a> conference in Antwerpen earlier this year.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Manually pulling and pushing the aggregation while the Kangaroo simulation for simultaneously co-aligning all connection axes is running, demonstrates how well patterns can deform. After some modifications, the aggregations are left untouched and the simulation continues freely until an equilibrium is found (no more improvements in connection-alignment are possible).  <\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"pattern1 zupf\" width=\"764\" height=\"430\" src=\"https:\/\/www.youtube.com\/embed\/a1_aCGbrn0I?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/div>\n<\/div><figcaption class=\"wp-element-caption\"><em><sup>Pattern 1<\/sup><\/em><\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">The study of pattern 1 shows, that after some rebound motions, the aggregation mostly remains in its bent state while alignment continues. This means there is relatively little resistance to global deformation, this has also been studied in one of our <a href=\"https:\/\/inventorics.com\/?p=680\">earlier studies<\/a> with bike-frame lattices.<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"pattern2 zupf\" width=\"764\" height=\"430\" src=\"https:\/\/www.youtube.com\/embed\/44ctKIX116A?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/div>\n<\/div><figcaption class=\"wp-element-caption\"><em><sup>Pattern 2<\/sup><\/em><\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">An aggregation based on pattern 2 has a much higher stiffness, the lattice almost entirely bends back to it&#8217;s planar configuration when the external force is removed.<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"jetpack-video-wrapper\"><iframe loading=\"lazy\" title=\"pattern3 zupf\" width=\"764\" height=\"430\" src=\"https:\/\/www.youtube.com\/embed\/4Ys1cY90zZo?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/div>\n<\/div><figcaption class=\"wp-element-caption\"><em><sup>Pattern 3<\/sup><\/em><\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Pattern 3 has the most resistance to bending, it remains stable in flat state.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We realized, that the main factor for the varying degrees of bending flexibility is the ratio of connection axes orientations in X- and Y-direction, additionally the <a href=\"https:\/\/inventorics.com\/?p=656\">size of cells<\/a> (number of parts needed to form a closed loop) in the lattice plays a role. <\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"832\" height=\"1024\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2025\/12\/fig6_cmyk_1-832x1024.jpg\" alt=\"\" class=\"wp-image-1112\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2025\/12\/fig6_cmyk_1-832x1024.jpg 832w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/12\/fig6_cmyk_1-244x300.jpg 244w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/12\/fig6_cmyk_1-768x945.jpg 768w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/12\/fig6_cmyk_1-1248x1536.jpg 1248w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/12\/fig6_cmyk_1-1665x2048.jpg 1665w\" sizes=\"auto, (max-width: 832px) 100vw, 832px\" \/><figcaption class=\"wp-element-caption\"><em><sup>Pattern 1, cell-size: 5<\/sup><\/em><\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"832\" height=\"1024\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2025\/12\/fig6_cmyk_2-832x1024.jpg\" alt=\"\" class=\"wp-image-1113\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2025\/12\/fig6_cmyk_2-832x1024.jpg 832w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/12\/fig6_cmyk_2-244x300.jpg 244w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/12\/fig6_cmyk_2-768x945.jpg 768w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/12\/fig6_cmyk_2-1248x1536.jpg 1248w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/12\/fig6_cmyk_2-1665x2048.jpg 1665w\" sizes=\"auto, (max-width: 832px) 100vw, 832px\" \/><figcaption class=\"wp-element-caption\"><em><sup>Pattern 2, cell-size: 6<\/sup><\/em><\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"832\" height=\"1024\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2025\/12\/fig6_cmyk_3-832x1024.jpg\" alt=\"\" class=\"wp-image-1114\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2025\/12\/fig6_cmyk_3-832x1024.jpg 832w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/12\/fig6_cmyk_3-244x300.jpg 244w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/12\/fig6_cmyk_3-768x945.jpg 768w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/12\/fig6_cmyk_3-1248x1536.jpg 1248w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/12\/fig6_cmyk_3-1665x2048.jpg 1665w\" sizes=\"auto, (max-width: 832px) 100vw, 832px\" \/><figcaption class=\"wp-element-caption\"><em><sup>Pattern 3, cell-size 4<\/sup><\/em><\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Besides varying capabilities for adapting to form variation of constituent parts, the surface-based bike-frame aggregations we studied previously, also have different bending flexibility.<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_crdt_document":"","_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[7],"tags":[30,20,27],"class_list":["post-1110","post","type-post","status-publish","format-standard","hentry","category-digital-studies","tag-aggregation","tag-bike-frames","tag-cluster-1"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/inventorics.com\/index.php?rest_route=\/wp\/v2\/posts\/1110","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/inventorics.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/inventorics.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/inventorics.com\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/inventorics.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1110"}],"version-history":[{"count":2,"href":"https:\/\/inventorics.com\/index.php?rest_route=\/wp\/v2\/posts\/1110\/revisions"}],"predecessor-version":[{"id":1116,"href":"https:\/\/inventorics.com\/index.php?rest_route=\/wp\/v2\/posts\/1110\/revisions\/1116"}],"wp:attachment":[{"href":"https:\/\/inventorics.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1110"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/inventorics.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1110"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/inventorics.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1110"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}