{"id":505,"date":"2023-10-04T16:38:21","date_gmt":"2023-10-04T16:38:21","guid":{"rendered":"https:\/\/inventorics.com\/?p=505"},"modified":"2023-10-20T09:45:01","modified_gmt":"2023-10-20T09:45:01","slug":"cluster-1-bike-frames-inside-sommerville-tetrahedrons","status":"publish","type":"post","link":"https:\/\/inventorics.com\/?p=505","title":{"rendered":"Cluster 1: bike frames inside Sommerville-Tetrahedrons"},"content":{"rendered":"\n
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Combining the concept of bike frames contained in cells<\/a> with aggregation systems based on the Sommerville-type<\/a> interconnected structures can be created.<\/p>\n\n\n\n\n\n\n\n

From the previously studied bike frame clusters<\/a>, two types align well with the centers of faces of regular Sommerville-tetrahedrons. Type 04 type fits well inside the cell due to its symmetry, but connects only to 3 of the 4 faces. Therefore aggregations can only form interconnected structures in specific combinations of parts.<\/p>\n\n\n\n

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Type 04 cluster in two different orientations as part types A and B<\/em><\/sup><\/figcaption><\/figure>\n\n\n\n
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The lack of connections results in relatively loose constructs with large loops.<\/p>\n\n\n\n

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Voids within the structure represented as solids have the form of rhombic dodecahedra – the same geometry as from another study<\/a> -perhaps indicating a possible combination.<\/sub><\/figcaption><\/figure>\n\n\n\n

Type 18 clusters, however, allow to access all four sides of the tetrahedral cell and therefore produce denser structures.<\/p>\n\n\n\n

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The simplicity of type 18 has the benefit of consisting of only two bikes and one standard joint allowing for larger aggregations utilizing fewer bike frames. Its disadvantage is a lesser stability compared to other cluster types consisting of more bike frames. This could be overcome by compensating for a possible lack of stability (bracing) also on an overall aggregation level.<\/p>\n\n\n\n

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When representing the bike frame clusters as tetrahedrons with vertices at the connections in between parts, the connectivity of aggregations becomes more easily visible.<\/p>\n\n\n\n

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Aggregations only with type A (above), and type A and B (below) share the same (connection) topology, but in the latter example each two adjacent bike frames are connected in 90-degree orientation producing a more complex pattern (visually).<\/p>\n","protected":false},"excerpt":{"rendered":"

Combining the concept of bike frames contained in cells with aggregation systems based on the Sommerville-type interconnected structures can be created.<\/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":[30,20,27,4,31,6],"class_list":["post-505","post","type-post","status-publish","format-standard","hentry","category-digital-studies","tag-aggregation","tag-bike-frames","tag-cluster-1","tag-discrete","tag-tetrahedra","tag-wasp"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/inventorics.com\/index.php?rest_route=\/wp\/v2\/posts\/505","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=505"}],"version-history":[{"count":3,"href":"https:\/\/inventorics.com\/index.php?rest_route=\/wp\/v2\/posts\/505\/revisions"}],"predecessor-version":[{"id":641,"href":"https:\/\/inventorics.com\/index.php?rest_route=\/wp\/v2\/posts\/505\/revisions\/641"}],"wp:attachment":[{"href":"https:\/\/inventorics.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=505"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/inventorics.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=505"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/inventorics.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=505"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}