{"id":602,"date":"2023-10-20T09:38:59","date_gmt":"2023-10-20T09:38:59","guid":{"rendered":"https:\/\/inventorics.com\/?p=602"},"modified":"2023-10-20T09:41:42","modified_gmt":"2023-10-20T09:41:42","slug":"cluster-1-sommerville-multiple-part-types","status":"publish","type":"post","link":"https:\/\/inventorics.com\/?p=602","title":{"rendered":"Cluster 1: Sommerville &#8211; multiple part types"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"2218\" height=\"1137\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/06-5.jpg\" alt=\"\" class=\"wp-image-637\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/06-5.jpg 2218w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/06-5-300x154.jpg 300w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/06-5-1024x525.jpg 1024w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/06-5-768x394.jpg 768w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/06-5-1536x787.jpg 1536w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/06-5-2048x1050.jpg 2048w\" sizes=\"auto, (max-width: 2218px) 100vw, 2218px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Based on the Sommerville tetrahedron, part systems using multiple compatible types can be created that produce more differentiated complex aggregations.<\/p>\n\n\n\n<!--more-->\n\n\n\n<h2 class=\"wp-block-heading\">Larger scale part<\/h2>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"2298\" height=\"1138\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/00.png\" alt=\"\" class=\"wp-image-604\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/00.png 2298w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/00-300x149.png 300w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/00-1024x507.png 1024w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/00-768x380.png 768w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/00-1536x761.png 1536w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/00-2048x1014.png 2048w\" sizes=\"auto, (max-width: 2298px) 100vw, 2298px\" \/><\/figure>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">+<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1358\" height=\"1122\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/01.png\" alt=\"\" class=\"wp-image-606\" style=\"aspect-ratio:1.2103386809269163;width:580px;height:auto\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/01.png 1358w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/01-300x248.png 300w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/01-1024x846.png 1024w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/01-768x635.png 768w\" sizes=\"auto, (max-width: 1358px) 100vw, 1358px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">To expand the catalog of parts based on <a href=\"https:\/\/inventorics.com\/?p=346#type-18\">type-18 clusters<\/a> from a <a href=\"https:\/\/inventorics.com\/?p=505\">previous study<\/a> a larger-scale part can be created by merging four halves of tetra-cells into a new part, that contains a flat cluster of four bike frames. The new part C has four connections at the same locations as in the initial parts A and B and is therefore compatible with the base parts &#8211; aggregations using this set of 3 part types are interconnected.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1504\" height=\"1098\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/02-4.jpg\" alt=\"\" class=\"wp-image-607\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/02-4.jpg 1504w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/02-4-300x219.jpg 300w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/02-4-1024x748.jpg 1024w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/02-4-768x561.jpg 768w\" sizes=\"auto, (max-width: 1504px) 100vw, 1504px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1121\" height=\"1136\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/03-4.jpg\" alt=\"\" class=\"wp-image-608\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/03-4.jpg 1121w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/03-4-296x300.jpg 296w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/03-4-1010x1024.jpg 1010w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/03-4-768x778.jpg 768w\" sizes=\"auto, (max-width: 1121px) 100vw, 1121px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Aggregations contain larger voids and have a certain directionality. This differentiation and deviation from the repetitive patterns of single-part type systems seem to offer potential for architectural scenarios.<\/p>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1049\" height=\"1134\" data-id=\"617\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/03-copy.jpg\" alt=\"\" class=\"wp-image-617\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/03-copy.jpg 1049w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/03-copy-278x300.jpg 278w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/03-copy-947x1024.jpg 947w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/03-copy-768x830.jpg 768w\" sizes=\"auto, (max-width: 1049px) 100vw, 1049px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"669\" height=\"596\" data-id=\"615\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/230823_WASP_space-filling-tetrahedra_SOMMERVILLE-tetra-type18_small-2.gif\" alt=\"\" class=\"wp-image-615\"\/><\/figure>\n<\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Smaller scale part<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Additional compatible parts can also be found when subdividing the base cell (Sommerville tetrahedron).<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"2400\" height=\"1076\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/05.png\" alt=\"\" class=\"wp-image-618\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/05.png 2400w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/05-300x135.png 300w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/05-1024x459.png 1024w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/05-768x344.png 768w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/05-1536x689.png 1536w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/05-2048x918.png 2048w\" sizes=\"auto, (max-width: 2400px) 100vw, 2400px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"2400\" height=\"1078\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/06.png\" alt=\"\" class=\"wp-image-619\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/06.png 2400w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/06-300x135.png 300w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/06-1024x460.png 1024w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/06-768x345.png 768w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/06-1536x690.png 1536w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/06-2048x920.png 2048w\" sizes=\"auto, (max-width: 2400px) 100vw, 2400px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">The additional parts each have at least one connection compatible with the part it is a subdivision of, but each also introduces new connections. When organizing the rule set to allow only connections in between compatible connection types, the overall system still can close onto itself &#8211; that is to interconnect at standard connections. With this specific cluster geometry inside the tetra cell, additional bike frames can be added to part A to match some of the connections introduced by the smaller parts.<\/p>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-2 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"922\" height=\"831\" data-id=\"620\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/00_A-add.gif\" alt=\"\" class=\"wp-image-620\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"870\" height=\"938\" data-id=\"621\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/00_E-connect.gif\" alt=\"\" class=\"wp-image-621\"\/><\/figure>\n<\/figure>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-3 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"588\" height=\"780\" data-id=\"622\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/00_F-connect.gif\" alt=\"\" class=\"wp-image-622\"\/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"740\" height=\"860\" data-id=\"623\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/00_F2-connect.gif\" alt=\"\" class=\"wp-image-623\"\/><\/figure>\n<\/figure>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-4 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1240\" height=\"1137\" data-id=\"625\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/09-3.jpg\" alt=\"\" class=\"wp-image-625\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/09-3.jpg 1240w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/09-3-300x275.jpg 300w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/09-3-1024x939.jpg 1024w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/09-3-768x704.jpg 768w\" sizes=\"auto, (max-width: 1240px) 100vw, 1240px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1240\" height=\"1137\" data-id=\"624\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/10-1.jpg\" alt=\"\" class=\"wp-image-624\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/10-1.jpg 1240w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/10-1-300x275.jpg 300w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/10-1-1024x939.jpg 1024w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/10-1-768x704.jpg 768w\" sizes=\"auto, (max-width: 1240px) 100vw, 1240px\" \/><\/figure>\n<\/figure>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-5 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1137\" height=\"1137\" data-id=\"632\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/07-3-edited.jpg\" alt=\"\" class=\"wp-image-632\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/07-3-edited.jpg 1137w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/07-3-edited-300x300.jpg 300w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/07-3-edited-1024x1024.jpg 1024w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/07-3-edited-150x150.jpg 150w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/07-3-edited-768x768.jpg 768w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/07-3-edited-800x800.jpg 800w\" sizes=\"auto, (max-width: 1137px) 100vw, 1137px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"2218\" height=\"1137\" data-id=\"631\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/08-4.jpg\" alt=\"\" class=\"wp-image-631\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/08-4.jpg 2218w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/08-4-300x154.jpg 300w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/08-4-1024x525.jpg 1024w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/08-4-768x394.jpg 768w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/08-4-1536x787.jpg 1536w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/08-4-2048x1050.jpg 2048w\" sizes=\"auto, (max-width: 2218px) 100vw, 2218px\" \/><\/figure>\n<\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Often such discrete aggregation systems either offer interconnectivity at the &#8220;cost&#8221; of design limitations because parts have to be constrained to populate a regular grid (network graph) for interconnections to occur; Or when part systems are designed freely in a bottom-up process, the resulting aggregations are usually highly irregular <a href=\"https:\/\/en.wikipedia.org\/wiki\/L-system\">L-systems<\/a> with only loose ends.<br>The system described here shows the potential to combine the advantages of both types of systems &#8211; highly complex aggregations can be achieved that can vary from repetitive to <strong>irregular<\/strong> patterns by maintaining the capacity to <strong>interconnect<\/strong>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"2694\" height=\"1106\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/07.png\" alt=\"\" class=\"wp-image-626\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/07.png 2694w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/07-300x123.png 300w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/07-1024x420.png 1024w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/07-768x315.png 768w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/07-1536x631.png 1536w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/07-2048x841.png 2048w\" sizes=\"auto, (max-width: 2694px) 100vw, 2694px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"2464\" height=\"1094\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/08.png\" alt=\"\" class=\"wp-image-627\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/08.png 2464w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/08-300x133.png 300w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/08-1024x455.png 1024w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/08-768x341.png 768w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/08-1536x682.png 1536w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/08-2048x909.png 2048w\" sizes=\"auto, (max-width: 2464px) 100vw, 2464px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1524\" height=\"1118\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/c02-b-3.jpg\" alt=\"\" class=\"wp-image-634\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/c02-b-3.jpg 1524w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/c02-b-3-300x220.jpg 300w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/c02-b-3-1024x751.jpg 1024w, https:\/\/inventorics.com\/wp-content\/uploads\/2023\/10\/c02-b-3-768x563.jpg 768w\" sizes=\"auto, (max-width: 1524px) 100vw, 1524px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Based on the Sommerville tetrahedron, part systems using multiple compatible types can be created that produce more differentiated complex aggregations.<\/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-602","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\/602","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=602"}],"version-history":[{"count":6,"href":"https:\/\/inventorics.com\/index.php?rest_route=\/wp\/v2\/posts\/602\/revisions"}],"predecessor-version":[{"id":639,"href":"https:\/\/inventorics.com\/index.php?rest_route=\/wp\/v2\/posts\/602\/revisions\/639"}],"wp:attachment":[{"href":"https:\/\/inventorics.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=602"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/inventorics.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=602"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/inventorics.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=602"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}