{"id":1876,"date":"2023-08-05T16:38:20","date_gmt":"2023-08-05T16:38:20","guid":{"rendered":"https:\/\/williamcromar.com\/newmediawiki\/?p=1876"},"modified":"2024-04-02T12:42:39","modified_gmt":"2024-04-02T12:42:39","slug":"3d-modeling-nine-square-grid","status":"publish","type":"post","link":"https:\/\/williamcromar.com\/newmediawiki\/3d-modeling-nine-square-grid\/","title":{"rendered":"3D modeling: 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-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:25%\">\n<p class=\"has-text-align-center has-small-font-size\"><\/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\/3d-modeling\/\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"300\" data-attachment-id=\"287\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/nmw\/tea-fractal\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/tea-fractal.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=\"tea-fractal\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/tea-fractal.gif\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/tea-fractal.gif\" alt=\"\" class=\"wp-image-287\" 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\/3d-modeling\/\">3D modeling<\/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\/elements\/\"><img loading=\"lazy\" decoding=\"async\" width=\"453\" height=\"453\" data-attachment-id=\"135\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/nmw\/3d-modeling\/elements\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/elements.png\" data-orig-size=\"453,453\" 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=\"elements\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/elements.png\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/elements.png\" alt=\"\" class=\"wp-image-135\" style=\"aspect-ratio:1;object-fit:cover;width:120px;height:undefinedpx\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/elements.png 453w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/elements-300x300.png 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/elements-150x150.png 150w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/elements-100x100.png 100w\" sizes=\"auto, (max-width: 453px) 100vw, 453px\" \/><\/a><\/figure>\n<\/div>\n\n\n<p class=\"has-text-align-center has-small-font-size\"><strong><a href=\"https:\/\/williamcromar.com\/newmediawiki\/elements\/\">3 | elements<\/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-69f8cb1d04841\" 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-69f8cb1d04841\"  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\/3d-modeling-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\/3d-modeling-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\/3d-modeling-nine-square-grid\/#Modeling_the_base_and_cubes\" >Modeling the base and cubes<\/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\/3d-modeling-nine-square-grid\/#Modifying_the_cubes\" >Modifying 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-5\" href=\"https:\/\/williamcromar.com\/newmediawiki\/3d-modeling-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-6\" href=\"https:\/\/williamcromar.com\/newmediawiki\/3d-modeling-nine-square-grid\/#Case_Studies\" >Case Studies<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/williamcromar.com\/newmediawiki\/3d-modeling-nine-square-grid\/#Simple_cylinder\" >Simple cylinder<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/williamcromar.com\/newmediawiki\/3d-modeling-nine-square-grid\/#Rectangular_L-shaped_solid\" >Rectangular L-shaped solid<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/williamcromar.com\/newmediawiki\/3d-modeling-nine-square-grid\/#Boolean_union_half-rectangle_half-cylinder\" >Boolean union half-rectangle, half-cylinder<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/williamcromar.com\/newmediawiki\/3d-modeling-nine-square-grid\/#Acute_angle_cutout\" >Acute angle cutout<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/williamcromar.com\/newmediawiki\/3d-modeling-nine-square-grid\/#Irregularly_curved_surface\" >Irregularly curved surface<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/williamcromar.com\/newmediawiki\/3d-modeling-nine-square-grid\/#Spherical_cutout_at_corner\" >Spherical cutout at corner<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/williamcromar.com\/newmediawiki\/3d-modeling-nine-square-grid\/#Bonus_NURBS_spherical_hole_in_the_face_of_a_cube\" >Bonus NURBS: spherical hole in the face of a cube<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/williamcromar.com\/newmediawiki\/3d-modeling-nine-square-grid\/#Scenarios\" >Scenarios<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/williamcromar.com\/newmediawiki\/3d-modeling-nine-square-grid\/#Your_turn\" >Your turn<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/williamcromar.com\/newmediawiki\/3d-modeling-nine-square-grid\/#Polygons\" >Polygons<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/williamcromar.com\/newmediawiki\/3d-modeling-nine-square-grid\/#NURBS\" >NURBS<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/williamcromar.com\/newmediawiki\/3d-modeling-nine-square-grid\/#Staging_and_lighting\" >Staging and lighting<\/a><\/li><\/ul><\/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_base_and_cubes\"><\/span>Modeling the base and cubes<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Create a new Maya Project folder, named&nbsp;<strong>nineSquareGrid<\/strong>.<\/li>\n\n\n\n<li>Create a scene named&nbsp;<strong>yourname_nineSquareGrid.mb<\/strong>&nbsp;and save it to the project&nbsp;<strong>scenes<\/strong>&nbsp;folder.<\/li>\n\n\n\n<li>Make the chess-board-like base:\n<ul class=\"wp-block-list\">\n<li>Using Grid Snaps and\/or parametric input, generate a shallow rectangular solid, 0.5 units high (in the Y direction) and 24 units in the X and Z directions.<\/li>\n\n\n\n<li>Create 3 subdivisions in the X and Z directions to generate 9 squares; each square should be 8 units.<\/li>\n\n\n\n<li>Using Face sub-object selection and applying a simple Lambert material, alternate the colors of the faces in very subtle shades of gray, like a chessboard.<\/li>\n\n\n\n<li>Center the object in the reference grid, and make the top face congruent with the XZ axis.&nbsp;<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>In the scene, create 5 cubes (unique instances: don&#8217;t copy them).\n<ul class=\"wp-block-list\">\n<li>Each cube should be 6X6X6 units.<\/li>\n\n\n\n<li>The base should be congruent with the XZ reference grid.<\/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 Lambert material to each cube.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Add at least two light sources and use a white environment in your camera background.<\/li>\n\n\n\n<li>When complete, save the file and render at 3000 wide X 2000 high pixels in .jpg format.&nbsp;<\/li>\n\n\n\n<li>Save the scene and close Maya.<\/li>\n<\/ul>\n\n\n\n<p>We&#8217;ll return to this scene later.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Modifying_the_cubes\"><\/span>Modifying 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 out 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<p>Save your file and sketches for later. Before we apply your sketched transformations to your scene, we need to learn a workflow technique essential for any high-resolution photo-real project. Discover the wonders of the <strong>micro-bevel<\/strong>&#8230;<\/p>\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>The&nbsp;<strong>Elements<\/strong>&nbsp;project attempts a means of expression based on Realism.&nbsp;Observe the test rendering you created above, and 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 anything that exists in the world, and they are rounded, even ever so slightly, even if that&#8217;s at a quantum level. At <em>some<\/em> scale of observation, things just are not perfect expressions of geometric precision. 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, the right number and kind of subdivisions or 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<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%\">\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 model in polygons or NURBS as appropriate, with a few containing solutions in both polys and NURBS. Each case study has a downloadable file for inspection, a viewport shot for reference, and a high-resolution rendering to observe the outcome in its intended production quality.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column has-background is-layout-flow wp-block-column-is-layout-flow\" style=\"background-color:#eeeeee;flex-basis:50%\">\n<div class=\"wp-block-columns has-background is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\" style=\"background-color:#eeeeee\">\n<div class=\"wp-block-column has-background is-layout-flow wp-block-column-is-layout-flow\" style=\"background-color:#eeeeee\">\n<p><em><strong>Note<\/strong>: Proper display of micro-bevels will depend on the <strong>Smooth Mesh Preview<\/strong> function in Maya\u2014pressing the 3 key. Depending on your rendering engine, Smooth Mesh Preview may not render; instead, you&#8217;ll render the low-resolution mesh.&nbsp;If so, convert a smooth preview to a smoothed polygon mesh using <strong>Modify &gt; Convert &gt; Smooth Mesh Preview to Polygons<\/strong>, and render the result.<\/em><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\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:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/microbevel.zip\" style=\"background-color:#bbbbbb\"><strong>Micro-bevel .zip file 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<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 has-background is-layout-flow wp-block-column-is-layout-flow\" style=\"background-color:#eeeeee\">\n<div class=\"wp-block-columns has-background is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\" style=\"background-color:#eeeeee\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Simple_cylinder\"><\/span>Simple cylinder<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p>Goal: create a simple cylinder with micro-bevels<\/p>\n\n\n\n<p>Sample: 1.1_cylinders.mb<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns has-background is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\" style=\"background-color:#eeeeee\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><a href=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.1_cylinders_viewport.jpg\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"652\" data-attachment-id=\"1881\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/1-1_cylinders_viewport\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.1_cylinders_viewport.jpg\" data-orig-size=\"1420,904\" 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;1&quot;}\" data-image-title=\"1.1_cylinders_viewport\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.1_cylinders_viewport-1024x652.jpg\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.1_cylinders_viewport-1024x652.jpg\" alt=\"\" class=\"wp-image-1881\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.1_cylinders_viewport-1024x652.jpg 1024w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.1_cylinders_viewport-300x191.jpg 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.1_cylinders_viewport-768x489.jpg 768w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.1_cylinders_viewport.jpg 1420w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><figcaption class=\"wp-element-caption\"><em>viewport &#8211; click to enlarge<\/em><\/figcaption><\/figure>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><a href=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.1_cylinders_render-scaled.jpg\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"683\" data-attachment-id=\"1879\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/1-1_cylinders_render\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.1_cylinders_render-scaled.jpg\" data-orig-size=\"2560,1707\" 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;1&quot;}\" data-image-title=\"1.1_cylinders_render\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.1_cylinders_render-1024x683.jpg\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.1_cylinders_render-1024x683.jpg\" alt=\"\" class=\"wp-image-1879\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.1_cylinders_render-1024x683.jpg 1024w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.1_cylinders_render-300x200.jpg 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.1_cylinders_render-768x512.jpg 768w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.1_cylinders_render-1536x1024.jpg 1536w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><figcaption class=\"wp-element-caption\"><em>rendering &#8211; click to enlarge<\/em><\/figcaption><\/figure>\n<\/div><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns has-background is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\" style=\"background-color:#eeeeee\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p><strong>Back row = NURBS<\/strong>. From l to r, 1) the primitive is too sharply &#8220;perfect,&#8221; so one solution is to 2) delete the top and bottom from the primitive, add isoparms near the top and bottom curves, minutely scale the top and bottom curves equally in XZ toward the interior, and finish using Planar to create new caps. Other solutions include 3) revolving a curve with bevels built in (see behind volume) or 4) lofting a set of curves (again, behind the volume) and using Planar to cap. Which is &#8220;best?&#8221;<\/p>\n\n\n\n<p><strong>Front row = polygons<\/strong>. From l to r, 1) the primitive shows its faces, but 2) pressing 3 to soften reveals there&#8217;s not enough geometry. We add 3) a bevel with the <strong>Bevel<\/strong> tool to the top and bottom edge, and then 4) pressing 3 for Smooth Mesh Preview yields a well-crafted micro-bevel.<\/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 has-background is-layout-flow wp-block-column-is-layout-flow\" style=\"background-color:#eeeeee\">\n<div class=\"wp-block-columns has-background is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\" style=\"background-color:#eeeeee\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Rectangular_L-shaped_solid\"><\/span>Rectangular L-shaped solid<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p>Goal: create a rectangular, L-shaped solid with micro-bevels<\/p>\n\n\n\n<p>Sample: 1.2_recshape.mb<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns has-background is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\" style=\"background-color:#eeeeee\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><a href=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.2_recshape_viewport.jpg\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"652\" data-attachment-id=\"1883\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/1-2_recshape_viewport\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.2_recshape_viewport.jpg\" data-orig-size=\"1420,904\" 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;1374436436&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=\"1.2_recshape_viewport\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.2_recshape_viewport-1024x652.jpg\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.2_recshape_viewport-1024x652.jpg\" alt=\"\" class=\"wp-image-1883\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.2_recshape_viewport-1024x652.jpg 1024w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.2_recshape_viewport-300x191.jpg 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.2_recshape_viewport-768x489.jpg 768w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.2_recshape_viewport.jpg 1420w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><figcaption class=\"wp-element-caption\"><em>viewport &#8211; click to enlarge<\/em><\/figcaption><\/figure>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><a href=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.2_recshape_render-scaled.jpg\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"683\" data-attachment-id=\"1882\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/1-2_recshape_render\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.2_recshape_render-scaled.jpg\" data-orig-size=\"2560,1707\" 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;1&quot;}\" data-image-title=\"1.2_recshape_render\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.2_recshape_render-1024x683.jpg\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.2_recshape_render-1024x683.jpg\" alt=\"\" class=\"wp-image-1882\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.2_recshape_render-1024x683.jpg 1024w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.2_recshape_render-300x200.jpg 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.2_recshape_render-768x512.jpg 768w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.2_recshape_render-1536x1024.jpg 1536w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><figcaption class=\"wp-element-caption\"><em>rendering &#8211; click to enlarge<\/em><\/figcaption><\/figure>\n<\/div><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns has-background is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\" style=\"background-color:#eeeeee\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>This geometry is challenging because it is not a primitive. Either we are creating a volume out of Boolean operations or extruding\/extending surfaces from a primitive. Whenever you have an alternative to Booleans, use the alternative.<\/p>\n\n\n\n<p><strong>Upper right row = NURBS<\/strong>. 1) We start with the base of the L, then 2) detach and extend surfaces to make the upright, which is too sharp\u2014try isoparm addition\/scaling and it&#8217;s too much work to do, so faster options are needed. 3) A horizontal loft of a set of curves with built-in bevels is OK, but the character is more like a chamfer than a smooth bevel, so 4) we risk the Bevel tool on a curve, but it crimps. We could keep tweaking this, but NURBS persists in being troublesome. Maybe polys are better!<\/p>\n\n\n\n<p><strong>Lower left row = polygons<\/strong>. 1) Start with the base of the L and 2) extrude 2 faces for the upright. 3) Instead of Bevel, which will crimp the concave corner, go to Front and Side ortho views and create new edges near all corners using&nbsp;<strong>Mesh Tools &gt; Multi-Cut Tool<\/strong>&nbsp;then 4) press 3 to smooth.<\/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 has-background is-layout-flow wp-block-column-is-layout-flow\" style=\"background-color:#eeeeee\">\n<div class=\"wp-block-columns has-background is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\" style=\"background-color:#eeeeee\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Boolean_union_half-rectangle_half-cylinder\"><\/span>Boolean union half-rectangle, half-cylinder<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p>Goal: create a half-rectangular, half-cylindrical solid with micro-bevels<\/p>\n\n\n\n<p>Sample: 1.3_boolean_union.mb<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns has-background is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\" style=\"background-color:#eeeeee\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><a href=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.3_boolean_union_viewport.jpg\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"652\" data-attachment-id=\"1885\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/1-3_boolean_union_viewport\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.3_boolean_union_viewport.jpg\" data-orig-size=\"1420,904\" 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;1&quot;}\" data-image-title=\"1.3_boolean_union_viewport\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.3_boolean_union_viewport-1024x652.jpg\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.3_boolean_union_viewport-1024x652.jpg\" alt=\"\" class=\"wp-image-1885\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.3_boolean_union_viewport-1024x652.jpg 1024w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.3_boolean_union_viewport-300x191.jpg 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.3_boolean_union_viewport-768x489.jpg 768w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.3_boolean_union_viewport.jpg 1420w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><figcaption class=\"wp-element-caption\"><em>viewport &#8211; click to enlarge<\/em><\/figcaption><\/figure>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><a href=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.3_boolean_union_render-scaled.jpg\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"683\" data-attachment-id=\"1884\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/1-3_boolean_union_render\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.3_boolean_union_render-scaled.jpg\" data-orig-size=\"2560,1707\" 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;1&quot;}\" data-image-title=\"1.3_boolean_union_render\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.3_boolean_union_render-1024x683.jpg\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.3_boolean_union_render-1024x683.jpg\" alt=\"\" class=\"wp-image-1884\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.3_boolean_union_render-1024x683.jpg 1024w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.3_boolean_union_render-300x200.jpg 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.3_boolean_union_render-768x512.jpg 768w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.3_boolean_union_render-1536x1024.jpg 1536w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><figcaption class=\"wp-element-caption\"><em>rendering &#8211; click to enlarge<\/em><\/figcaption><\/figure>\n<\/div><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns has-background is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\" style=\"background-color:#eeeeee\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>We implied above that Booleans should be avoided. To be clear, Booleans are great, but they need planning so they don&#8217;t break. Having said that, when choosing between a poly or NURBS Boolean, a polygon Boolean is almost always the better option. So, we won&#8217;t waste time with NURBS in this demo.<\/p>\n\n\n\n<p>From l to r: 1) Start with a vertical-oriented half-cube and a cylinder of congruent geometric density\u2014preferably with faces, edges, and vertices that will align perfectly when overlapped. 2) Overlap volumes precisely, then Boolean union. Booleans + Maya = tricky: if you pick the half-cube last, the volumes disappear. So try again with the cylinder as the last selection, and voila. 3) The union creates very eccentric geometry on the top and bottom of the solid, so select all these edges and delete them. 4) Apply a Bevel to all corner edges. This creates large n-gons (multi-sided polygons). 5) Maya dislikes any polygon larger than a quadrangle, so we Triangulate the top and bottom faces, then hit 3 to smooth.<\/p>\n\n\n\n<p><strong><em>NOTE: Booleans were recently updated in Maya. This workflow was valid as of Maya 2022, but may no longer be relevant after that.<\/em><\/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 has-background is-layout-flow wp-block-column-is-layout-flow\" style=\"background-color:#eeeeee\">\n<div class=\"wp-block-columns has-background is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\" style=\"background-color:#eeeeee\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Acute_angle_cutout\"><\/span>Acute angle cutout<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p>Goal: create a rectangular solid featuring a steep, acute V-shaped cutout with micro-bevels<\/p>\n\n\n\n<p>Sample: 1.4_inv_triangle_cutout.mb<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns has-background is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\" style=\"background-color:#eeeeee\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><a href=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.4_inv_triangle_cutout_viewport.jpg\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"652\" data-attachment-id=\"1887\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/1-4_inv_triangle_cutout_viewport\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.4_inv_triangle_cutout_viewport.jpg\" data-orig-size=\"1420,904\" 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;1&quot;}\" data-image-title=\"1.4_inv_triangle_cutout_viewport\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.4_inv_triangle_cutout_viewport-1024x652.jpg\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.4_inv_triangle_cutout_viewport-1024x652.jpg\" alt=\"\" class=\"wp-image-1887\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.4_inv_triangle_cutout_viewport-1024x652.jpg 1024w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.4_inv_triangle_cutout_viewport-300x191.jpg 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.4_inv_triangle_cutout_viewport-768x489.jpg 768w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.4_inv_triangle_cutout_viewport.jpg 1420w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><figcaption class=\"wp-element-caption\"><em>viewport &#8211; click to enlarge<\/em><\/figcaption><\/figure>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><a href=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.4_inv_triangle_cutout_render-scaled.jpg\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"683\" data-attachment-id=\"1886\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/1-4_inv_triangle_cutout_render\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.4_inv_triangle_cutout_render-scaled.jpg\" data-orig-size=\"2560,1707\" 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;1&quot;}\" data-image-title=\"1.4_inv_triangle_cutout_render\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.4_inv_triangle_cutout_render-1024x683.jpg\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.4_inv_triangle_cutout_render-1024x683.jpg\" alt=\"\" class=\"wp-image-1886\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.4_inv_triangle_cutout_render-1024x683.jpg 1024w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.4_inv_triangle_cutout_render-300x200.jpg 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.4_inv_triangle_cutout_render-768x512.jpg 768w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.4_inv_triangle_cutout_render-1536x1024.jpg 1536w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><figcaption class=\"wp-element-caption\"><em>rendering &#8211; click to enlarge<\/em><\/figcaption><\/figure>\n<\/div><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns has-background is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\" style=\"background-color:#eeeeee\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>Sharp acute angles present a particular difficulty with micro-bevels. Again, NURBS is not worth our time.<\/p>\n\n\n\n<p>From l to r: 1) Create a polygon cube subdivided with vertical faces as shown in the viewport above. 2) Instead of Booleans, we&#8217;ll select the middle edge and move it down. This creates the V but it also creates a suspicious geometry\u2014note the odd lighting effect on the top faces. 3) Ignore that for the moment and delete the three interior vertical edges connecting the vertices of the V to the base of the solid, on both front and back. 4) Apply a Bevel, and you get a nightmare fold at the acute angle. Solve the fold by applying the <strong>Insert Edge Loop<\/strong> tool to the interior faces of the V, very near the bottom angle. Then 5) Triangulate any n-gon faces larger than quads and hit 3 to smooth.<\/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 has-background is-layout-flow wp-block-column-is-layout-flow\" style=\"background-color:#eeeeee\">\n<div class=\"wp-block-columns has-background is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\" style=\"background-color:#eeeeee\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Irregularly_curved_surface\"><\/span>Irregularly curved surface<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p>Goal: create an irregularly curved cut from the top of a cube with micro-bevels<\/p>\n\n\n\n<p>Sample: 1.5_deformers.mb<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns has-background is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\" style=\"background-color:#eeeeee\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><a href=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.5_deformers_viewport.jpg\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"652\" data-attachment-id=\"1889\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/1-5_deformers_viewport\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.5_deformers_viewport.jpg\" data-orig-size=\"1420,904\" 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;1&quot;}\" data-image-title=\"1.5_deformers_viewport\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.5_deformers_viewport-1024x652.jpg\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.5_deformers_viewport-1024x652.jpg\" alt=\"\" class=\"wp-image-1889\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.5_deformers_viewport-1024x652.jpg 1024w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.5_deformers_viewport-300x191.jpg 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.5_deformers_viewport-768x489.jpg 768w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.5_deformers_viewport.jpg 1420w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><figcaption class=\"wp-element-caption\"><em>viewport &#8211; click to enlarge<\/em><\/figcaption><\/figure>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><a href=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.5_deformers_render-scaled.jpg\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"683\" data-attachment-id=\"1888\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/1-5_deformers_render\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.5_deformers_render-scaled.jpg\" data-orig-size=\"2560,1707\" 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;1&quot;}\" data-image-title=\"1.5_deformers_render\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.5_deformers_render-1024x683.jpg\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.5_deformers_render-1024x683.jpg\" alt=\"\" class=\"wp-image-1888\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.5_deformers_render-1024x683.jpg 1024w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.5_deformers_render-300x200.jpg 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.5_deformers_render-768x512.jpg 768w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.5_deformers_render-1536x1024.jpg 1536w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><figcaption class=\"wp-element-caption\"><em>rendering &#8211; click to enlarge<\/em><\/figcaption><\/figure>\n<\/div><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns has-background is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\" style=\"background-color:#eeeeee\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>This problem has valid NURBS and poly solutions.<\/p>\n\n\n\n<p><strong>Left: NURBS.<\/strong>&nbsp;1) Create a well-subdivided NURBS cube (10x10x10 in the sample). 2) Apply a&nbsp;<strong>Non-Linear Sine Deformer<\/strong>&nbsp;and delete the bottom plane. 3) Create a NURBS Plane that intersects the volume and then apply&nbsp;Intersect Surfaces&nbsp;(with the plane selected last). 4) Using the <strong>Trim<\/strong> tool, delete the bottom portion of the vertical planes and the outer area of the horizontal bottom plane. 5) Select all the planes, and apply&nbsp;<strong>Edit NURBS &gt; Stitch &gt; Global Stitch<\/strong>, and move the resulting odd-looking duplicated object away from the original. 6) Using Surface Points and Insert Isoparms, adding isoparms close to the corners of the ORIGINAL object will fix the Global Stitched object. Hit 3 on the keyboard to smooth. Sometimes requires tweaking of control vertices at corners.<\/p>\n\n\n\n<p><strong>Right: Polygons.<\/strong>&nbsp;1) Create a polygon cube with a few subdivisions (4x4x4 in sample). 2) Apply a&nbsp;<strong>Lattice Deformer<\/strong>&nbsp;with a few divisions (3x3x3 in the sample\u2014it helps visually to not have the same number as on the geometry). 3) Move Lattice Points to deform the cube. You may need to tweak the edges of some subdivisions depending on the severity of your deformation. 4) Apply a Bevel to the corners and hit 3 to smooth.<\/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 has-background is-layout-flow wp-block-column-is-layout-flow\" style=\"background-color:#eeeeee\">\n<div class=\"wp-block-columns has-background is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\" style=\"background-color:#eeeeee\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Spherical_cutout_at_corner\"><\/span>Spherical cutout at corner<span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p>Goal: create a complex spherical cutout at the corner of a rectangular solid with micro-bevels<\/p>\n\n\n\n<p>Sample: 1.6_cube_sphere_hole.mb<\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns has-background is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\" style=\"background-color:#eeeeee\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><a href=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.6_cube_sphere_hole_viewport.jpg\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"652\" data-attachment-id=\"1891\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/1-6_cube_sphere_hole_viewport\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.6_cube_sphere_hole_viewport.jpg\" data-orig-size=\"1420,904\" 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;1&quot;}\" data-image-title=\"1.6_cube_sphere_hole_viewport\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.6_cube_sphere_hole_viewport-1024x652.jpg\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.6_cube_sphere_hole_viewport-1024x652.jpg\" alt=\"\" class=\"wp-image-1891\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.6_cube_sphere_hole_viewport-1024x652.jpg 1024w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.6_cube_sphere_hole_viewport-300x191.jpg 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.6_cube_sphere_hole_viewport-768x489.jpg 768w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.6_cube_sphere_hole_viewport.jpg 1420w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><figcaption class=\"wp-element-caption\"><em>viewport &#8211; click to enlarge<\/em><\/figcaption><\/figure>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><a href=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.6_cube_sphere_hole_rendering-scaled.jpg\" target=\"_blank\" rel=\"noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"683\" data-attachment-id=\"1890\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/1-6_cube_sphere_hole_rendering\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.6_cube_sphere_hole_rendering-scaled.jpg\" data-orig-size=\"2560,1707\" 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=\"1.6_cube_sphere_hole_rendering\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.6_cube_sphere_hole_rendering-1024x683.jpg\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.6_cube_sphere_hole_rendering-1024x683.jpg\" alt=\"\" class=\"wp-image-1890\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.6_cube_sphere_hole_rendering-1024x683.jpg 1024w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.6_cube_sphere_hole_rendering-300x200.jpg 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/1.6_cube_sphere_hole_rendering-768x512.jpg 768w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><figcaption class=\"wp-element-caption\"><em>rendering &#8211; click to enlarge<\/em><\/figcaption><\/figure>\n<\/div><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns has-background is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\" style=\"background-color:#eeeeee\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>A tricky challenge, best solved with polys and careful planning on subdividing geometries. Not to leave NURBS out: a bonus in the back row shows a sphere cutting a cube on its face.<\/p>\n\n\n\n<p><strong>Lower left row = sphere with vertical poles.<\/strong>&nbsp;1) Create a cube with no subdivisions and a sphere with a few subdivisions (6 height and 12 axis subdivisions in sample). Intersect them so the &#8220;equator&#8221; of the sphere is congruent with the horizontal edges of the cube and the &#8220;south pole&#8221; is congruent with the vertical corner edge. 2) Perform a Boolean to subtract the sphere. 3) Select corners and <strong>Bevel<\/strong> with 4 divisions. This looks good but still crude. 4) Select Mesh&gt;Smooth, and the resolution of the geometry improves immensely.<\/p>\n\n\n\n<p><strong>Upper right row = sphere with pole oriented at cube center<\/strong>. The workflow for this solution is identical, but the &#8220;south pole&#8221; is angled to face the center of the cube and vertex snaps to edges are completely avoided, yielding a slightly smoother result. In the sample, the sphere values are Rotate X = 35.9, Rotate Y = -9.6, and Rotate Z = -52.2. When using this solution take care with subdivisions of the sphere to avoid tough-to-resolve vertex results in the Boolean operation. In the sample, 6 subdivisions for height were still good, but axis subdivisions changed from 12 to 10.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Bonus_NURBS_spherical_hole_in_the_face_of_a_cube\"><\/span><strong>Bonus NURBS: spherical hole in the <\/strong>face of a <strong>cube<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h4>\n\n\n\n<p>A counterintuitive workflow, but one that gives insight into NURBS logic. 1) Don&#8217;t start with a cube, but rather with a sphere whose radius equals the radius of your micro-bevel. 2) Select isoparms and Detach, splitting into 8 spherical quadrants, and move these to develop the beveled corners of the cube (you can use a throwaway cube as a reference object, or use data in the Channel Box. 3) Select the edge isoparm from two opposing spherical quadrants, and perform a loft. This is done 12 times, for each beveled edge of the cube. 4) Select the edge isoparm from each of the lofts that defines a cube face, and perform a Planar. Do this six times, one for each face, and the cube is now complete. 5) Create a NURBS sphere and intersect it with a face. 6) Use Intersect to create a curve between the two objects, then Trim to delete the areas you don&#8217;t wish to keep. 7) Select Trim Edges belonging to the cube face and sphere, then create a small radius Curves&gt;Fillet.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Scenarios\"><\/span>Scenarios<span class=\"ez-toc-section-end\"><\/span><\/h2>\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-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:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/scenarios.zip\" style=\"background-color:#bbbbbb\"><strong>Scenarios .zip file link<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-jetpack-slideshow aligncenter\" data-effect=\"fade\"><div class=\"wp-block-jetpack-slideshow_container swiper-container\"><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\"\/><figcaption class=\"wp-block-jetpack-slideshow_caption gallery-caption\">2.1_rectangular.mb<\/figcaption><\/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\"\/><figcaption class=\"wp-block-jetpack-slideshow_caption gallery-caption\">2.2_cylindrical.mb<\/figcaption><\/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\"\/><figcaption class=\"wp-block-jetpack-slideshow_caption gallery-caption\">2.3_curved.mb<\/figcaption><\/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\"\/><figcaption class=\"wp-block-jetpack-slideshow_caption gallery-caption\">2.4_angular.mb<\/figcaption><\/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 Maya scene file in the scenes folder of your project.&nbsp;<strong>COPY IT<\/strong>, rename the file&nbsp;<strong>yourname_nineSquareGrid02.mb,<\/strong>&nbsp;and open it to make, or in some instances re-make, the objects, this time to create realistic micro-bevels. Here, Maya will frustrate you, but there are some hints and tricks to getting it to act like you want it to:<\/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\u2014in which case you&#8217;ll delete and replace the original.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Polygons\"><\/span>Polygons<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If you are using polygons and you reach for the Bevel command, you&#8217;ll most often want to avoid Boolean-formed objects, although some Boolean formations will work. Instead, think about how to use extrusion\/face-scaling and other tools to mold the shape:\n<ul class=\"wp-block-list\">\n<li>After you Bevel a poly object, you might notice some unsightly &#8220;folds&#8221; in your face. Depending on the nature of the object, you&#8217;ll want to experiment with deleting unnecessary edges and vertices before Bevel. Be aware of the number of Undo levels you have available as you experiment, perhaps working on a copy of the object off to one side for safety.<\/li>\n\n\n\n<li>If the &#8220;folds&#8221; persist, you can experiment with adding edge loops, applying Add Divisions and\/or Triangulate and\/or Clean-up commands, and\/or pressing 3 on the keyboard to smooth.<\/li>\n\n\n\n<li>In the case of very acute or oblique angles, you may have to experiment with a variety of experimental combinations of the above. There is no magic bullet, but you want to shoot for the simplest (least number of steps) solution. If it feels convoluted, it probably is.&nbsp;<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"NURBS\"><\/span>NURBS<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If you are using NURBS, here follows a decent workflow for many circumstances:\n<ul class=\"wp-block-list\">\n<li>Create the form by applying Loft or Revolve to a curve, and any kind of sculpting or deformers to that.<\/li>\n\n\n\n<li>Apply Global Stitch to the object and move it away from the original. The stitched object will look strange at first. Don&#8217;t worry.<\/li>\n\n\n\n<li>Add Isoparms very close to the edges of the original object, and observe the changes in the stitched object. This will constrain the odd stitching and bring it under control.<\/li>\n\n\n\n<li>Delete By Type&gt;History will isolate the stitched object for further refinement, but be sure that you&#8217;ll not need to do anything further to the original objects. Again, working on copies off to one side and being aware of Undo levels are your safety tips.<\/li>\n\n\n\n<li>Press 3 on the keyboard to smooth, which people often forget you can do with NURBS.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Staging_and_lighting\"><\/span>Staging and lighting<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Don&#8217;t forget to micro-bevel your &#8220;chessboard.&#8221;<\/li>\n\n\n\n<li>Add simple lighting and a Camera and Aim, such as you&#8217;ve done for earlier projects.<\/li>\n<\/ul>\n\n\n\n<p>When you have finished your work, render the first and second versions of the file at 3000 wide X 2000 high in .jpg format, upload it to your image host, and post it to your blog. In the blog, describe your idea for the exercise and your modeling methodology in Maya. Compare the test images (with sharp, &#8220;unreal&#8221; edges) to the final micro-beveled versions.<\/p>\n\n\n\n<p>In our next exercise, we&#8217;ll add different kinds of materials to a copy of this model!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>3D modeling 3 | elements 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 you&#8230; <a href=\"https:\/\/williamcromar.com\/newmediawiki\/3d-modeling-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":[4,11],"tags":[],"class_list":["post-1876","post","type-post","status-publish","format-standard","hentry","category-3d-modeling","category-exercises"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>3D modeling: Nine square grid - newMediaWiki<\/title>\n<meta name=\"description\" content=\"3D modeling: 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\/3d-modeling-nine-square-grid\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"3D modeling: Nine square grid - 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