{"id":971,"date":"2025-08-06T13:57:09","date_gmt":"2025-08-06T13:57:09","guid":{"rendered":"https:\/\/inventorics.com\/?p=971"},"modified":"2025-08-13T09:56:11","modified_gmt":"2025-08-13T09:56:11","slug":"cluster-2-the-detergent-bottle-as-building-block-from-geometry-to-pattern-to-surface-structure","status":"publish","type":"post","link":"https:\/\/inventorics.com\/?p=971","title":{"rendered":"CLUSTER 2: The Detergent Bottle as Building Block: From Geometry to Pattern to Surface Structure"},"content":{"rendered":"\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"444\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_StartImage-1-1024x444.png\" alt=\"\" class=\"wp-image-981\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_StartImage-1-1024x444.png 1024w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_StartImage-1-300x130.png 300w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_StartImage-1-768x333.png 768w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_StartImage-1-1536x666.png 1536w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_StartImage-1-2048x888.png 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">In this part of our ongoing exploration into how detergent bottles can become building blocks, we return to the idea of designing the shape of the bottle. Not by changing the form in complex ways, but by applying what we\u2019ve learned from&nbsp;space-filling geometry.<br>Instead of completely transforming the bottle, we focused on&nbsp;minimal modifications, while making it suitable for a second life as a&nbsp;modular element.<\/p>\n\n\n\n<!--more-->\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"has-large-font-size wp-block-paragraph\">Revisiting Space-Filling Grids<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In a&nbsp;<a href=\"https:\/\/inventorics.com\/?p=893\">previous post<\/a>, we explored how space-filling solids (like the&nbsp;truncated octahedron) could approximate the shape of a detergent bottle. We tried mapping detergent bottles into these grids or developing&nbsp;add-on components&nbsp;to match the geometry.<br>But what if, instead of adding parts or forcing bottles into a system, we&nbsp;subtracted the geometry from the bottle itself?<br>This approach allows the bottle to&nbsp;become part of the space-filling grid&nbsp;while remaining&nbsp;functionally unchanged but with a&nbsp;surface structure&nbsp;that enables bottles to&nbsp;interlock after use.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"479\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_01-1024x479.png\" alt=\"\" class=\"wp-image-972\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_01-1024x479.png 1024w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_01-300x140.png 300w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_01-768x359.png 768w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_01-1536x718.png 1536w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_01.png 1866w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\"><em><sup>Fig.01: Adding and subtracting truncated octahedrons within the space-filling grid.<\/sup><\/em><\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Our first attempt was to subtract and add solids, almost like turning the bottle into a Lego-like unit that could stack directly. We used the truncated octahedron, but quickly realized the form was too dominant. The bottle lost its character and became too bulky and unfamiliar.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">So we scaled back. Instead of reshaping the entire bottle, we focused on its&nbsp;two flat faces\u2014typically the front and back. By intersecting these surfaces with a smaller-scale pattern based on the&nbsp;rhombic dodecahedron, we created a&nbsp;3D pattern&nbsp;that acts as an&nbsp;interlocking surface.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"233\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_02-1024x233.png\" alt=\"\" class=\"wp-image-973\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_02-1024x233.png 1024w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_02-300x68.png 300w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_02-768x175.png 768w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_02-1536x349.png 1536w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_02.png 1804w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\"><em><sup>Fig. 02: Boolean intersection using the rhombic dodecahedron grid.<\/sup><\/em><\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Unlike traditional 90\u00b0 designs, this pattern is based on&nbsp;120\u00b0 angles, allowing for&nbsp;criss-crossing layers.<br>Advantages:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The&nbsp;handle, neck, and bottom&nbsp;remain untouched\u2014so the bottle still functions and looks like a regular detergent bottle.<\/li>\n\n\n\n<li>The&nbsp;pattern can wrap around the sides, creating a continuous visual and structural language.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"277\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_03-1024x277.png\" alt=\"\" class=\"wp-image-974\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_03-1024x277.png 1024w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_03-300x81.png 300w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_03-768x207.png 768w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_03-1536x415.png 1536w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_03.png 1822w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\"><em><sup>Fig. 03: Continuation of the pattern across three sides of the bottle.<\/sup><\/em><\/figcaption><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\"><br>Once the surface pattern was applied, the bottles could be&nbsp;aligned and stacked\u2014but how to keep them connected? <br>We saw potential in the&nbsp;handles&nbsp;as anchor points. By threading&nbsp;string or straps&nbsp;through them, multiple bottles can be tied together into&nbsp;panels.<br>This led to our first simple assembly system:<\/p>\n\n\n\n<ol start=\"1\" class=\"wp-block-list\">\n<li>Align bottles using the surface pattern.<\/li>\n\n\n\n<li>Thread string through the handles to connect the bottles.<\/li>\n\n\n\n<li>Tighten to form a solid surface panel.<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">These panels can then be combined into larger assemblies. But once we started exploring&nbsp;3D constructions, new challenges appeared.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"239\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_04-1024x239.png\" alt=\"\" class=\"wp-image-975\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_04-1024x239.png 1024w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_04-300x70.png 300w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_04-768x180.png 768w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_04-1536x359.png 1536w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_04-2048x479.png 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\"><em><sup>Fig. 04: Assembly frequency of bottles for generating a panel.<\/sup><\/em><\/figcaption><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">Once we tried stacking panels\u2014especially combining flat ones with upright ones\u2014we hit structural issues. Vertical panels weren&#8217;t stable enough on their own. We needed extra bottles to keep them upright, and the process became too complex and not intuitive for users.&nbsp;So we simplified again.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"369\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_05-1024x369.png\" alt=\"\" class=\"wp-image-976\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_05-1024x369.png 1024w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_05-300x108.png 300w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_05-768x277.png 768w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_05-1536x553.png 1536w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_05-2048x737.png 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\"><em><sup>Fig. 05: Additional bottles used to stabilize the upright panel.<\/sup><\/em><\/figcaption><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">What if a \u201cpanel\u201d was made of&nbsp;just two bottles?<br>By connecting two bottles at a&nbsp;120\u00b0 angle, we created a&nbsp;simple cross-shaped module&nbsp;that could serve as a new, easy-to-handle base unit. When these mini-panels are connected, the system begins to&nbsp;self-locking therefore not requires extra fasteners or materials.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"340\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_06-1024x340.png\" alt=\"\" class=\"wp-image-977\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_06-1024x340.png 1024w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_06-300x100.png 300w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_06-768x255.png 768w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_06-1536x510.png 1536w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_06-2048x680.png 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\"><em><sup>Fig. 06: Cross-shaped modules and their interlocking configuration.<\/sup><\/em><\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">This new system offers:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Less complexity<\/li>\n\n\n\n<li>Fewer components<\/li>\n\n\n\n<li>More freedom: enabling curves, vaults, and even cantilevered forms<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">To test the idea quickly, we built a&nbsp;scaled-down prototype\/ toy. Even at a smaller size, the&nbsp;interlocking logic worked.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"334\" src=\"https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_07-1024x334.png\" alt=\"\" class=\"wp-image-978\" srcset=\"https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_07-1024x334.png 1024w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_07-300x98.png 300w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_07-768x251.png 768w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_07-1536x501.png 1536w, https:\/\/inventorics.com\/wp-content\/uploads\/2025\/08\/Part02_07-2048x669.png 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\"><em><sup>Fig. 07: Small-scale prototype demonstrating interlocking behavior, cantilever, and vault formation.<\/sup><\/em><\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">We also made thoughts about&nbsp;weight distribution: by filling the bottom bottles with more water and leaving the top ones lighter, the structure would gain more&nbsp;stability&nbsp;without additional supports.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">The intervention on our bottle still recalls the idea behind the\u00a0<a href=\"https:\/\/inventorics.com\/?p=946\" data-type=\"link\" data-id=\"https:\/\/inventorics.com\/?p=946\">Heineken WOBO,<\/a> where the surface was also structured and the shape modified to allow stacking. However, in contrast to that concept, our\u00a0cross-linked modules\u00a0enable\u00a0interlocking, resulting in more\u00a0stable aggregations, without the need for mortar or additional fixations. This system allows for more\u00a0diverse spatial configurations, including\u00a0cantilevers, vaults.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this part of our ongoing exploration into how detergent bottles can become building blocks, we return to the idea of designing the shape of the bottle. Not by changing the form in complex ways, but by applying what we\u2019ve learned from&nbsp;space-filling geometry.Instead of completely transforming the bottle, we focused on&nbsp;minimal modifications, while making it [&hellip;]<\/p>\n","protected":false},"author":4,"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":[7,19],"tags":[30,44,45,4,42],"class_list":["post-971","post","type-post","status-publish","format-standard","hentry","category-digital-studies","category-physical-studies","tag-aggregation","tag-cluster-2","tag-detergent-bottle","tag-discrete","tag-plastic"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/inventorics.com\/index.php?rest_route=\/wp\/v2\/posts\/971","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\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/inventorics.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=971"}],"version-history":[{"count":8,"href":"https:\/\/inventorics.com\/index.php?rest_route=\/wp\/v2\/posts\/971\/revisions"}],"predecessor-version":[{"id":989,"href":"https:\/\/inventorics.com\/index.php?rest_route=\/wp\/v2\/posts\/971\/revisions\/989"}],"wp:attachment":[{"href":"https:\/\/inventorics.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=971"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/inventorics.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=971"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/inventorics.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=971"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}