{"id":1464,"date":"2023-07-29T03:51:23","date_gmt":"2023-07-29T03:51:23","guid":{"rendered":"https:\/\/williamcromar.com\/newmediawiki\/?p=1464"},"modified":"2025-08-05T22:51:44","modified_gmt":"2025-08-05T22:51:44","slug":"fabbing-nine-square-grid","status":"publish","type":"post","link":"https:\/\/williamcromar.com\/newmediawiki\/fabbing-nine-square-grid\/","title":{"rendered":"Fabbing: Nine square grid"},"content":{"rendered":"\n<div class=\"wp-block-columns has-white-background-color has-background is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:25%\">\n<p class=\"has-text-align-center has-small-font-size\"><br><br><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:75%\">\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\"><div class=\"wp-block-image is-style-rounded\">\n<figure class=\"aligncenter size-full is-resized\"><a href=\"https:\/\/williamcromar.com\/newmediawiki\/nmw\/fabbing\/\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"300\" data-attachment-id=\"20\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/nmw\/arthead_loopsm\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/arthead_loopsm.gif\" data-orig-size=\"300,300\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"arthead_loopsm\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/arthead_loopsm.gif\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/arthead_loopsm.gif\" alt=\"\" class=\"wp-image-20\" style=\"aspect-ratio:1;object-fit:cover;width:120px;height:undefinedpx\"\/><\/a><\/figure>\n<\/div>\n\n\n<p class=\"has-text-align-center has-small-font-size\"><strong><a href=\"https:\/\/williamcromar.com\/newmediawiki\/nmw\/fabbing\/\">Fabbing<\/a><\/strong><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\"><div class=\"wp-block-image is-style-default\">\n<figure class=\"aligncenter size-full is-resized\"><a href=\"https:\/\/williamcromar.com\/newmediawiki\/2d-3d-line-to-plane\/\"><img loading=\"lazy\" decoding=\"async\" width=\"579\" height=\"579\" data-attachment-id=\"331\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/nmw\/fabbing\/linetoplane\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/lineToPlane.jpg\" data-orig-size=\"579,579\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;1282627376&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;1&quot;}\" data-image-title=\"lineToPlane\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/lineToPlane.jpg\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/lineToPlane.jpg\" alt=\"\" class=\"wp-image-331\" style=\"aspect-ratio:1;object-fit:cover;width:120px;height:undefinedpx\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/lineToPlane.jpg 579w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/lineToPlane-300x300.jpg 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/lineToPlane-150x150.jpg 150w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/lineToPlane-100x100.jpg 100w\" sizes=\"auto, (max-width: 579px) 100vw, 579px\" \/><\/a><\/figure>\n<\/div>\n\n\n<p class=\"has-text-align-center has-small-font-size\"><strong><a href=\"https:\/\/williamcromar.com\/newmediawiki\/2d-3d-line-to-plane\/\">2D-3D | line &gt; plane<\/a><\/strong><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\"><div class=\"wp-block-image is-style-default\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1280\" height=\"899\" data-attachment-id=\"7547\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/chapter-10-expressions-of-geometry\/andrea_palladio_his_life_and_works_1902_14577899720\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/Andrea_Palladio_his_life_and_works_1902_14577899720.jpg\" data-orig-size=\"1280,899\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Andrea_Palladio_his_life_and_works_1902_14577899720\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/Andrea_Palladio_his_life_and_works_1902_14577899720-1024x719.jpg\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/Andrea_Palladio_his_life_and_works_1902_14577899720.jpg\" alt=\"\" class=\"wp-image-7547\" style=\"aspect-ratio:1;object-fit:cover;width:120px;height:undefinedpx\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/Andrea_Palladio_his_life_and_works_1902_14577899720.jpg 1280w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/Andrea_Palladio_his_life_and_works_1902_14577899720-300x211.jpg 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/Andrea_Palladio_his_life_and_works_1902_14577899720-1024x719.jpg 1024w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/Andrea_Palladio_his_life_and_works_1902_14577899720-768x539.jpg 768w\" sizes=\"auto, (max-width: 1280px) 100vw, 1280px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-text-align-center has-small-font-size\"><strong>9 square grid<\/strong><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:50%\"><div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title\" style=\"cursor:inherit\">Contents<\/div>\n<label for=\"ez-toc-cssicon-toggle-item-69f14e95bf4cc\" class=\"ez-toc-cssicon-toggle-label\"><span class=\"ez-toc-cssicon\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/label><input type=\"checkbox\"  id=\"ez-toc-cssicon-toggle-item-69f14e95bf4cc\"  aria-label=\"Toggle\" \/><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/williamcromar.com\/newmediawiki\/fabbing-nine-square-grid\/#Nine_square_grid\" >Nine square grid<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/williamcromar.com\/newmediawiki\/fabbing-nine-square-grid\/#Getting_Started\" >Getting Started<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/williamcromar.com\/newmediawiki\/fabbing-nine-square-grid\/#Modeling_the_datum\" >Modeling the datum<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/williamcromar.com\/newmediawiki\/fabbing-nine-square-grid\/#Modeling_the_cubes\" >Modeling the cubes<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/williamcromar.com\/newmediawiki\/fabbing-nine-square-grid\/#%E2%80%9CDistorting%E2%80%9D_the_cubes\" >&#8220;Distorting&#8221; the cubes<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/williamcromar.com\/newmediawiki\/fabbing-nine-square-grid\/#Micro-beveling_the_hidden_challenge\" >Micro-beveling: the hidden challenge<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/williamcromar.com\/newmediawiki\/fabbing-nine-square-grid\/#Case_Studies\" >Case Studies<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/williamcromar.com\/newmediawiki\/fabbing-nine-square-grid\/#Scenarios\" >Scenarios<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/williamcromar.com\/newmediawiki\/fabbing-nine-square-grid\/#Your_turn\" >Your turn<\/a><\/li><\/ul><\/nav><\/div>\n\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:50%\"><div class=\"wp-block-image is-style-default\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1280\" height=\"899\" data-attachment-id=\"7547\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/chapter-10-expressions-of-geometry\/andrea_palladio_his_life_and_works_1902_14577899720\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/Andrea_Palladio_his_life_and_works_1902_14577899720.jpg\" data-orig-size=\"1280,899\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Andrea_Palladio_his_life_and_works_1902_14577899720\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/Andrea_Palladio_his_life_and_works_1902_14577899720-1024x719.jpg\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/Andrea_Palladio_his_life_and_works_1902_14577899720.jpg\" alt=\"\" class=\"wp-image-7547\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/Andrea_Palladio_his_life_and_works_1902_14577899720.jpg 1280w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/Andrea_Palladio_his_life_and_works_1902_14577899720-300x211.jpg 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/Andrea_Palladio_his_life_and_works_1902_14577899720-1024x719.jpg 1024w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/Andrea_Palladio_his_life_and_works_1902_14577899720-768x539.jpg 768w\" sizes=\"auto, (max-width: 1280px) 100vw, 1280px\" \/><figcaption class=\"wp-element-caption\"><em>Andrea Palladio, Villa Rotonda, 1567-91.<br>A classical precedent of the Nine Square Grid exercise performed in many design studios.<br>Can you find the grid in the floor plan?<\/em><\/figcaption><\/figure>\n<\/div><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Nine_square_grid\"><\/span>Nine square grid<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Put your Model and Sculpt expertise to the test in a classic Grid Exercise, borrowed and adapted from basic 3D visual design. Learn how to turn overly rigid &#8220;perfect&#8221; geometries into &#8220;real-world&#8221; geometries.&nbsp;The practice this exercise provides will eliminate most of the frustrations you might encounter when modeling your artwork.<\/p>\n\n\n\n<p>In a tactile 3D design course, the classic <strong>Nine Square Grid<\/strong>&nbsp;is done by exploring different materials, such as plaster or bristol board, and explores processes such as additive or subtractive modeling. The forms are typically abstracted materially by applying white paint\u2014a suitable move for our exercise, with its emphasis on form and volume. In a 3D design course taught by Ray Horner at Kean University, students create the variety of forms seen below. <\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"477\" height=\"422\" data-attachment-id=\"1467\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/fabbing-nine-square-grid\/3dfoundation\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/3dfoundation.jpg\" data-orig-size=\"477,422\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"3dfoundation\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/3dfoundation.jpg\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/3dfoundation.jpg\" alt=\"\" class=\"wp-image-1467\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/3dfoundation.jpg 477w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/3dfoundation-300x265.jpg 300w\" sizes=\"auto, (max-width: 477px) 100vw, 477px\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p><strong><em><a href=\"http:\/\/professorhornersartclass.com\/make-9-new-forms-using-the-cube-as-the-starting-point\/\" target=\"_blank\" rel=\"noreferrer noopener\">Ray Horner<\/a>, examples of students&#8217; Nine Square Grid:<\/em><\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><em>Rectangular<\/em><\/li>\n\n\n\n<li><em>Rectangular &amp; cylindrical<\/em><\/li>\n\n\n\n<li><em>Curved<\/em><\/li>\n\n\n\n<li><em>Angular<\/em><\/li>\n<\/ol>\n\n\n\n<p><em>How do the students use visual principles to achieve conceptual clarity and the complementary qualities of unity\/diversity?<\/em><\/p>\n<\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Getting_Started\"><\/span>Getting Started<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Use the physical project above as the inspirational basis for creating a digital version of the <strong>Nine Square Grid<\/strong>. But we do it with a twist: we don&#8217;t fill every space in the grid! Five out of the nine spaces will be filled with some kind of <strong>mass<\/strong>. The remainder will become a negative space or <strong>void<\/strong>. <strong>Mass and void<\/strong> are the 3D equivalents of Gestalt <strong>figure and ground<\/strong>. <\/p>\n\n\n\n<p>Below you can see an orthographic top view of a variety of mass-void relationships in a nine-square grid, where the white square represents the presence of a mass. The dark and light gray squares represent void spaces on the grid, a bit like the pattern of a tiny chess-board:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" data-attachment-id=\"1469\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/fabbing-nine-square-grid\/9-9-square\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/9-9-square.png\" data-orig-size=\"1652,1652\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"9-9-square\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/9-9-square-1024x1024.png\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/9-9-square-1024x1024.png\" alt=\"\" class=\"wp-image-1469\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/9-9-square-1024x1024.png 1024w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/9-9-square-300x300.png 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/9-9-square-150x150.png 150w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/9-9-square-768x768.png 768w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/9-9-square-1536x1536.png 1536w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/9-9-square-100x100.png 100w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/9-9-square.png 1652w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>Our first job will be to model the &#8220;chessboard&#8221; spaces, which we&#8217;ll call the <strong>datum<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Modeling_the_datum\"><\/span>Modeling the datum<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Create a new Fusion 360 project (like a folder), named&nbsp;<strong>nineSquareGrid<\/strong>.<\/li>\n\n\n\n<li>Create a file named&nbsp;<strong>yourname_nineSquareGrid<\/strong>. Set units for inches.<\/li>\n\n\n\n<li>Make a chess-board-like base:\n<ul class=\"wp-block-list\">\n<li>Using Grid Snaps and\/or parametric input, generate 9 shallow rectangular solids, 0.5 units high (in the Y direction) and 8 units in the X and Z directions.&nbsp;<\/li>\n\n\n\n<li>Using Grid Snaps and Move\/Copy, organize the solids into a 3 X 3 grid pattern.<\/li>\n\n\n\n<li>Make the <strong>top face<\/strong> of each solid congruent with the XY plane.<\/li>\n\n\n\n<li>Alternate the materials among the solids to emulate a chessboard.&nbsp;<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Modeling_the_cubes\"><\/span>Modeling the cubes<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>We&#8217;ll add cubes on the board, using the pattern of your choice. Select one from above or invent one of your own, but limit yourself to 5 cubes:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>In the file, create 5 cubes (unique instances: don&#8217;t copy them).\n<ul class=\"wp-block-list\">\n<li>Each cube should be 6 X 6 X 6 units.<\/li>\n\n\n\n<li>The <strong>base<\/strong> of each cube should be congruent with the XY plane.<\/li>\n\n\n\n<li>Center each element on a square in the &#8220;chessboard.&#8221; Use the illustration above for inspiration.<\/li>\n\n\n\n<li>Apply a white, matte-finished material to each cube.&nbsp;<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>When complete, save the file and render at 1920 wide X 1080 high pixels in .jpg format.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E2%80%9CDistorting%E2%80%9D_the_cubes\"><\/span>&#8220;Distorting&#8221; the cubes<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>Now, drawing inspiration from the Horner projects above, imagine a visual vocabulary that will distort the cubes, carving or molding them into new forms whose origins are still recognizable as having started as cubes.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>In a sketchbook or equivalent ideation tool, create a sketch of what you&#8217;d like to do with your cubes. Keep the forms highly abstract and simple. <strong>Conceptually<\/strong> transform\/deform each cube into a new, unique form. At the same time that each form is unique, the relationships between the forms should create a sense of unity, wholeness, and conceptual clarity.<\/li>\n\n\n\n<li>Remember visual principles: repeating an element can create a pattern, mirroring it can create symmetry, etc. Most importantly, consciously develop <strong>mass and void relationships<\/strong>.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Micro-beveling_the_hidden_challenge\"><\/span>Micro-beveling: the hidden challenge<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>After you&#8217;ve eroded, carved, or molded your final shapes, you might notice they appear too, well, <em>perfect<\/em>. <\/p>\n\n\n\n<p>In reality, we don&#8217;t experience geometry the way an algorithm creates it. Look at the corners of just about anything that exists in the world, and they are rounded, even ever so slightly. In modeling, we call this knock-down a <strong>micro-bevel<\/strong>.<\/p>\n\n\n\n<p>One of the most difficult conceptual leaps 3D modelers have to make is understanding that they are not <strong>making a thing<\/strong>: they are <strong>manipulating a database<\/strong>. From an algorithmic standpoint, surfaces are databases, whose visual expression is your model. Object subdivisions are roughly analogous to cells in a spreadsheet database. How you set up your database affects the outcome of future operations in a workflow. In other words, if your end goal is to create a complex shape that has 4 operational steps applied to it, you need to start with a database that will allow those operations without suddenly turning completely wonky on you at step 3.<\/p>\n\n\n\n<p>So the case studies below will help you get past the frustrations this workflow logic creates for newbies. You&#8217;ll begin to see that getting a great micro-bevel typically takes about 3-5 steps with careful planning, with the right number of subdivisions and the correct initial setup being of chief concern.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Case_Studies\"><\/span>Case Studies<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>Below, consider a model of some distorted cubes that contain about a half-dozen common modeling situations:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A simple cylinder<\/li>\n\n\n\n<li>A union of a cylinder with a rectangular&nbsp;solid<\/li>\n\n\n\n<li>A rectangular L-shaped solid&nbsp;<\/li>\n\n\n\n<li>An acute angle cutout<\/li>\n\n\n\n<li>An irregularly curved surface<\/li>\n\n\n\n<li>A spherical cutout<\/li>\n<\/ul>\n\n\n\n<p>For each of these, we create in <strong>Model<\/strong> or <strong>Sculpt<\/strong> as appropriate, with a few containing solutions in both. <strong>Model<\/strong> solutions are in gold material, while <strong>Sculpt<\/strong> solutions are in silver. The case study can be inspected in a publicly-linked model, seen in the link here and in the embedded model below. Below that, a&nbsp;high-resolution rendering will allow you to observe the outcome in its intended production quality.<\/p>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button has-custom-width wp-block-button__width-100\"><a class=\"wp-block-button__link has-background wp-element-button\" href=\"https:\/\/a360.co\/4fp8rQR\" style=\"background-color:#bbbbbb\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Micro-bevel model link<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<div style=\"height:10px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<!--scales the overly-big interface 50% so you can actually see the model-->\n<div style=\"    width: 200%;\n    display: inline-block;\n    position: relative;\n    overflow: hidden;\">\n  <div style=\"    position: absolute;\n    top: 0;\n    bottom: 0;\n    right: 0;\n    left: 0;\">\n<iframe loading=\"lazy\" src=\"https:\/\/mypsu5858.autodesk360.com\/shares\/public\/SH286ddQT78850c0d8a47bef23e363e5ccdd?mode=embed\" width=\"100%\" height=\"400\" allowfullscreen=\"true\" webkitallowfullscreen=\"true\" mozallowfullscreen=\"true\" frameborder=\"0\" style=\"width:100%; height:800px;\n-moz-transform: scale(0.5, 0.5); \n-webkit-transform: scale(0.5, 0.5); \n-o-transform: scale(0.5, 0.5);\n-ms-transform: scale(0.5, 0.5);\ntransform: scale(0.5, 0.5); \n-moz-transform-origin: top left;\n-webkit-transform-origin: top left;\n-o-transform-origin: top left;\n-ms-transform-origin: top left;\ntransform-origin: top left;\noverflow: hidden;\">\n<p>Your browser does not support iframes.<\/p>\n<\/iframe>\n  <\/div>\n  <div style=\"padding-top: 400px;\">\n<\/div>\n<\/div>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"683\" data-attachment-id=\"1473\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/fabbing-nine-square-grid\/microbeveling\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/microbeveling.png\" data-orig-size=\"2400,1600\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"microbeveling\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/microbeveling-1024x683.png\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/microbeveling-1024x683.png\" alt=\"\" class=\"wp-image-1473\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/microbeveling-1024x683.png 1024w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/microbeveling-300x200.png 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/microbeveling-768x512.png 768w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/microbeveling-1536x1024.png 1536w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/microbeveling-2048x1365.png 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Scenarios\"><\/span>Scenarios<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>Let&#8217;s apply these case studies to some actual scenarios. Here, you can find reference files that are digital replications of Ray Horner&#8217;s student objects above. Take a look at each file as a reference to help you understand similar circumstances in your model.<\/p>\n\n\n\n<div class=\"wp-block-jetpack-slideshow aligncenter\" data-effect=\"fade\"><div class=\"wp-block-jetpack-slideshow_container swiper\"><ul class=\"wp-block-jetpack-slideshow_swiper-wrapper swiper-wrapper\"><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img decoding=\"async\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-1477\" data-id=\"1477\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/2.1_rectangular.jpg\"\/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img decoding=\"async\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-1476\" data-id=\"1476\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/2.2_cylindrical.jpg\"\/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img decoding=\"async\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-1478\" data-id=\"1478\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/2.3_curved.jpg\"\/><\/figure><\/li><li class=\"wp-block-jetpack-slideshow_slide swiper-slide\"><figure><img decoding=\"async\" alt=\"\" class=\"wp-block-jetpack-slideshow_image wp-image-1479\" data-id=\"1479\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/2.4_angular.jpg\"\/><\/figure><\/li><\/ul><a class=\"wp-block-jetpack-slideshow_button-prev swiper-button-prev swiper-button-white\" role=\"button\"><\/a><a class=\"wp-block-jetpack-slideshow_button-next swiper-button-next swiper-button-white\" role=\"button\"><\/a><a aria-label=\"Pause Slideshow\" class=\"wp-block-jetpack-slideshow_button-pause\" role=\"button\"><\/a><div class=\"wp-block-jetpack-slideshow_pagination swiper-pagination swiper-pagination-white\"><\/div><\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Your_turn\"><\/span>Your turn<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Return to the project. <strong>COPY the original file<\/strong>, rename the file&nbsp;<strong>yourname_nineSquareGrid02,<\/strong>&nbsp;and open it to make, or in some instances re-make, the objects, this time with an eye toward creating realistic micro-bevels. If you were successful with the micro-bevel exercise above, you&#8217;ll have no problem developing the 5 manipulated solids.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Depending on how you choose to model, your original reference objects may end up simply being &#8220;placeholders&#8221; and that&#8217;s OK. In other words, you will likely decide it&#8217;s better to start the form with some other object than the original reference object \u2014 in which case you&#8217;ll delete and replace the original.<\/li>\n\n\n\n<li>If working in <strong>Model<\/strong> mode, you&#8217;ll find the <strong>Fillet<\/strong> and <strong>Combine<\/strong> (aka boolean) functions under <strong>Modify<\/strong> will solve 90% of your issues.&nbsp;&nbsp;<\/li>\n\n\n\n<li>If you are using <strong>Sculpt<\/strong>, find <strong>Extrude<\/strong>, and <strong>Revolve<\/strong> under <strong>Create<\/strong>. Otherwise, you&#8217;ll see that <strong>Subdivide<\/strong>, <strong>Fill Hole<\/strong>, <strong>Crease<\/strong>, <strong>Uncrease<\/strong>, and <strong>Bevel Edge<\/strong> are most used under <strong>Modify<\/strong>. Don&#8217;t forget <strong>Finish Form<\/strong> to return to Model mode.<\/li>\n\n\n\n<li>Remember the Design History timeline at the bottom of the UI. If you make a misstep, you can always go back a few steps in the history and change a parameter or two.&nbsp;&nbsp;<\/li>\n\n\n\n<li>Oh, and don&#8217;t forget to micro-bevel your &#8220;chessboard&#8221; too!<\/li>\n<\/ul>\n\n\n\n<p>When you have finished your edge refinement, render it in .jpg format, upload it to your image host and post it to your process journal or blog. In that post, describe your idea for the exercise and your modeling methodology in Fusion. Compare the test images (with sharp, &#8220;unreal&#8221; edges) to the final micro-beveled versions.<\/p>\n\n\n\n<p>An example of a simple iteration of the exercise is in this model, with two side samples: one, using a simple rotation on a face to create a negative shape, the other using a Combine to subtract a sphere from a corner.<\/p>\n\n\n\n<!--scales the overly-big interface 50% so you can actually see the model-->\n<div style=\"    width: 200%;\n    display: inline-block;\n    position: relative;\n    overflow: hidden;\">\n  <div style=\"    position: absolute;\n    top: 0;\n    bottom: 0;\n    right: 0;\n    left: 0;\">\n<iframe loading=\"lazy\" src=\"https:\/\/mypsu5858.autodesk360.com\/shares\/public\/SH286ddQT78850c0d8a4665f78d11cd13f83?mode=embed\" allowfullscreen=\"true\" webkitallowfullscreen=\"true\" mozallowfullscreen=\"true\"  frameborder=\"0\" width=\"100%\" height=\"400\" allowfullscreen=\"true\" webkitallowfullscreen=\"true\" mozallowfullscreen=\"true\" frameborder=\"0\" style=\"width:100%; height:800px;\n-moz-transform: scale(0.5, 0.5); \n-webkit-transform: scale(0.5, 0.5); \n-o-transform: scale(0.5, 0.5);\n-ms-transform: scale(0.5, 0.5);\ntransform: scale(0.5, 0.5); \n-moz-transform-origin: top left;\n-webkit-transform-origin: top left;\n-o-transform-origin: top left;\n-ms-transform-origin: top left;\ntransform-origin: top left;\noverflow: hidden;\">\n<p>Your browser does not support iframes.<\/p>\n<\/iframe>\n  <\/div>\n  <div style=\"padding-top: 400px;\">\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Fabbing 2D-3D | line &gt; plane 9 square grid Nine square grid Put your Model and Sculpt expertise to the test in a classic Grid Exercise, borrowed and adapted from basic 3D visual design. Learn how to turn overly rigid &#8220;perfect&#8221; geometries into &#8220;real-world&#8221; geometries.&nbsp;The practice this exercise provides will eliminate most of the frustrations&#8230; <a href=\"https:\/\/williamcromar.com\/newmediawiki\/fabbing-nine-square-grid\/\">read more &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_eb_attr":"","_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[11,7],"tags":[],"class_list":["post-1464","post","type-post","status-publish","format-standard","hentry","category-exercises","category-fabbing"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Fabbing: Nine square grid - newMediaWiki<\/title>\n<meta name=\"description\" content=\"Fabbing: Nine square grid: using the classic 3D design warm-up project to learn about mass-void relationships and micro-beveling.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/williamcromar.com\/newmediawiki\/fabbing-nine-square-grid\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Fabbing: Nine square grid - 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