{"id":8890,"date":"2024-03-27T09:29:50","date_gmt":"2024-03-27T09:29:50","guid":{"rendered":"https:\/\/williamcromar.com\/newmediawiki\/?p=8890"},"modified":"2024-03-27T10:29:40","modified_gmt":"2024-03-27T10:29:40","slug":"part-3-material-through-geometry","status":"publish","type":"post","link":"https:\/\/williamcromar.com\/newmediawiki\/part-3-material-through-geometry\/","title":{"rendered":"PART 3 \u2014 Material through Geometry"},"content":{"rendered":"\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\"><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-69f10d40c0038\" 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-69f10d40c0038\"  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\/part-3-material-through-geometry\/#Geometry_is_a_lie_%E2%80%A6\" >Geometry is a lie &#8230;<\/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\/part-3-material-through-geometry\/#%E2%80%A6_that_makes_us_realize_the_truth\" >&#8230; that makes us realize the truth<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/williamcromar.com\/newmediawiki\/part-3-material-through-geometry\/#Chapter_synopses\" >Chapter synopses<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/williamcromar.com\/newmediawiki\/part-3-material-through-geometry\/#CHAPTER_10_%E2%80%94_Expressions_of_Geometry\" >CHAPTER 10 \u2014 Expressions of Geometry<\/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\/part-3-material-through-geometry\/#CHAPTER_11_%E2%80%94_Polys_and_Subdivs_and_NURBS_oh_my%E2%80%A6\" >CHAPTER 11 \u2014 Polys and Subdivs and NURBS, oh my\u2026<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/williamcromar.com\/newmediawiki\/part-3-material-through-geometry\/#CHAPTER_12_%E2%80%94_Expressions_of_Material\" >CHAPTER 12 \u2014 Expressions of Material<\/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\">\n<p class=\"has-text-align-right has-small-font-size\"><em>2-minute read<\/em><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"694\" height=\"694\" data-attachment-id=\"30\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/nmw\/paralleluniverses_01\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/parallelUniverses_01.png\" data-orig-size=\"694,694\" 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=\"parallelUniverses_01\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/parallelUniverses_01.png\" src=\"https:\/\/i0.wp.com\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/parallelUniverses_01.png?resize=694%2C694&amp;ssl=1\" alt=\"\" class=\"wp-image-30\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/parallelUniverses_01.png 694w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/parallelUniverses_01-300x300.png 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/parallelUniverses_01-150x150.png 150w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/parallelUniverses_01-100x100.png 100w\" sizes=\"auto, (max-width: 694px) 100vw, 694px\" \/><\/figure>\n<\/div><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Geometry_is_a_lie_%E2%80%A6\"><\/span>Geometry is a lie &#8230;<span class=\"ez-toc-section-end\"><\/span><\/h2>\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<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><em>Art is a lie that makes us realize the truth.<\/em><\/p>\n<cite>\u2014&nbsp;Pablo Picasso<\/cite><\/blockquote>\n\n\n\n<p>An understanding of three-dimensional modeling rests foremost on an understanding of geometry. We believe we see geometry everywhere \u2014 from the sphere of our planet to a rectangular box of cereal out of which you might have eaten this morning. But we must understand that geometry is a fiction, a lie. A <em>useful<\/em> lie, but an utter contrivance nonetheless.<\/p>\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\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"700\" height=\"700\" data-attachment-id=\"8895\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/part-3-material-through-geometry\/utah_teapot_mr_maya\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/Utah_Teapot_mr_maya.jpg\" data-orig-size=\"700,700\" 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=\"Utah_Teapot_mr_maya\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/Utah_Teapot_mr_maya.jpg\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/Utah_Teapot_mr_maya.jpg\" alt=\"\" class=\"wp-image-8895\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/Utah_Teapot_mr_maya.jpg 700w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/Utah_Teapot_mr_maya-300x300.jpg 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/Utah_Teapot_mr_maya-150x150.jpg 150w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/Utah_Teapot_mr_maya-100x100.jpg 100w\" sizes=\"auto, (max-width: 700px) 100vw, 700px\" \/><figcaption class=\"wp-element-caption\"><em><a href=\"http:\/\/en.wikipedia.org\/wiki\/File:Utah_Teapot_mr_maya.jpg\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>CG image of the&nbsp;Utah Teapot<\/strong><\/a>, 2010. <a href=\"http:\/\/en.wikipedia.org\/wiki\/Martin_Newell_%28computer_graphics%29\">Martin Newell<\/a>&nbsp;created the original teapot dataset as a standard reference object for computer graphics at the University of Utah&nbsp;in 1975. <em>Wikipedia contributor Aaron1a12<\/em><\/em> rendered t<em>his version with&nbsp;<a href=\"http:\/\/en.wikipedia.org\/wiki\/Mental_ray\">mental ray<\/a>&nbsp;in Maya.<\/em><\/figcaption><\/figure>\n<\/div><\/div>\n<\/div>\n\n\n\n<p>Imagine the most skilled marksman shooting a rifle. The path of the bullet seems straight as it hits the target. But when the force of gravity, the drag of the atmosphere, the Coriolis effect of the rotating earth, the ever-so-imperfect spinning of the ever-so-imperfectly manufactured munition, and all the remaining wonderful, messy&nbsp;reality of the tactile world is accounted for, the trajectory of the bullet&nbsp;merely <em>suggests<\/em>&nbsp;a straight line. That suggestion is an abstract concept. We impose it upon the world for the purposes of finding the comforting illusion of order we humans seem hard-wired to find in the sea of glorious chaos we are sometimes loathe to admit we actually live in. The imagined path of the bullet is just that: an image.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E2%80%A6_that_makes_us_realize_the_truth\"><\/span>&#8230; that makes us realize the truth<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p><a href=\"http:\/\/en.wikipedia.org\/wiki\/Earth\" target=\"_blank\" rel=\"noreferrer noopener\">Our planet<\/a>&nbsp;is not a sphere, but an&nbsp;<a href=\"http:\/\/en.wikipedia.org\/wiki\/Oblate_spheroid\" target=\"_blank\" rel=\"noreferrer noopener\">oblate spheroid<\/a>, rotationally flattened at the poles by 43 km (almost 27 miles), deviating from the abstract datum of sea level by the height of Mount Everest added to the depth of the Mariana Trench \u2014 just over 12 miles or about 0.17% of its diameter. The cereal box roughly approaches the ideal of rectangularity through folding and gluing, overlapping very thin volumes of cardboard which bend and warp imperceptibly under the forces of folding, gluing, containing cereal, and being carted about the country. It is only, on average, highly&nbsp;<em>probable<\/em>&nbsp;that the box approaches the rectangular. Geometry is the image of a probability.<\/p>\n\n\n\n<p>Consider the world you enter when you open a digital modeling interface. It is a universe of absolute perfection, a description of&nbsp;<em><strong>pure geometry<\/strong><\/em>. The most difficult thing to understand about this seductive, fictional universe is this: if it&#8217;s pure geometry, it&#8217;s a pure lie. Keep telling yourself this as you model.<\/p>\n\n\n\n<p>But tell yourself this at the same time: Geometry, like art, is a lie that makes us realize the truth.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Chapter_synopses\"><\/span>Chapter synopses<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"CHAPTER_10_%E2%80%94_Expressions_of_Geometry\"><\/span><a href=\"https:\/\/williamcromar.com\/newmediawiki\/chapter-10-expressions-of-geometry\/\">CHAPTER 10 \u2014 Expressions of Geometry<\/a><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\"><div class=\"wp-block-image is-style-rounded\">\n<figure class=\"aligncenter size-medium\"><img loading=\"lazy\" decoding=\"async\" width=\"295\" height=\"300\" data-attachment-id=\"7529\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/chapter-10-expressions-of-geometry\/pentagram_and_human_body_agrippa-2\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/Pentagram_and_human_body_Agrippa.png\" data-orig-size=\"899,913\" 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=\"Pentagram_and_human_body_Agrippa\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/Pentagram_and_human_body_Agrippa.png\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/Pentagram_and_human_body_Agrippa-295x300.png\" alt=\"\" class=\"wp-image-7529\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/Pentagram_and_human_body_Agrippa-295x300.png 295w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/Pentagram_and_human_body_Agrippa-768x780.png 768w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/Pentagram_and_human_body_Agrippa-300x305.png 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/Pentagram_and_human_body_Agrippa.png 899w\" sizes=\"auto, (max-width: 295px) 100vw, 295px\" \/><\/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\">\n<p>Explore modeling as a manifestation of ideal forms, drawing from Picasso&#8217;s concept of art as a &#8220;lie&#8221; revealing truth. Rooted in Plato&#8217;s Theory of Forms, it delves into geometric principles, digital modeling, and Frascari&#8217;s three geometrical states \u2014 Mantic, Structure, and Body \u2014 illuminating the intricate relationship between geometry and modeling.<\/p>\n<\/div>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"CHAPTER_11_%E2%80%94_Polys_and_Subdivs_and_NURBS_oh_my%E2%80%A6\"><\/span><a href=\"https:\/\/williamcromar.com\/newmediawiki\/chapter-11-polys-and-subdivs-and-nurbs-oh-my\/\">CHAPTER 11 \u2014 Polys and Subdivs and NURBS, oh my\u2026<\/a><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\"><div class=\"wp-block-image is-style-rounded\">\n<figure class=\"aligncenter size-medium\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"300\" data-attachment-id=\"6974\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/chapter-11-polys-and-subdivs-and-nurbs-oh-my\/nurbs_hull\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/02\/nurbs_hull.png\" data-orig-size=\"1400,1406\" 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=\"nurbs_hull\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/02\/nurbs_hull-1020x1024.png\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/02\/nurbs_hull-300x300.png\" alt=\"\" class=\"wp-image-6974\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/02\/nurbs_hull-300x301.png 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/02\/nurbs_hull-1020x1024.png 1020w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/02\/nurbs_hull-150x150.png 150w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/02\/nurbs_hull-768x771.png 768w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/02\/nurbs_hull-100x100.png 100w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/02\/nurbs_hull.png 1400w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/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\">\n<p>Modeling software presents distinct approaches: Polygons and NURBS, with Maya featuring Subdivision Surfaces. We contrast these methods, explaining how each affects modeling outcomes. Analogies clarify concepts, detailing workflows, advantages, and challenges of NURBS and polygonal modeling, alongside strategies like subdivision surfaces and micro-beveling.<\/p>\n<\/div>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"CHAPTER_12_%E2%80%94_Expressions_of_Material\"><\/span><a href=\"https:\/\/williamcromar.com\/newmediawiki\/chapter-12-expressions-of-material\/\">CHAPTER 12 \u2014 Expressions of Material<\/a><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\"><div class=\"wp-block-image is-style-rounded\">\n<figure class=\"aligncenter size-medium\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"300\" data-attachment-id=\"7241\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/chapter-12-expressions-of-material\/bulge-all1080\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/bulge-all1080.jpg\" data-orig-size=\"1080,1080\" 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=\"bulge-all1080\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/bulge-all1080-1024x1024.jpg\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/bulge-all1080-300x300.jpg\" alt=\"\" class=\"wp-image-7241\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/bulge-all1080-300x300.jpg 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/bulge-all1080-1024x1024.jpg 1024w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/bulge-all1080-150x150.jpg 150w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/bulge-all1080-768x768.jpg 768w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/bulge-all1080-100x100.jpg 100w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/bulge-all1080.jpg 1080w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/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\">\n<p>Explore the concept of material expressions in modeling, emphasizing their significance in conveying meaning and evoking emotions. We discuss various forms of materiality, including physical, digital, and hybrid, and their impact on artistic interpretation. Materiality serves as a key element in shaping audience engagement and aesthetic experiences.<\/p>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>2-minute read Geometry is a lie &#8230; Art is a lie that makes us realize the truth. An understanding of three-dimensional modeling rests foremost on an understanding of geometry. We believe we see geometry everywhere \u2014 from the sphere of our planet to a rectangular box of cereal out of which you might have eaten&#8230; <a href=\"https:\/\/williamcromar.com\/newmediawiki\/part-3-material-through-geometry\/\">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":[8],"tags":[],"class_list":["post-8890","post","type-post","status-publish","format-standard","hentry","category-paralleluniverses"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>PART 3 \u2014 Material through Geometry - newMediaWiki<\/title>\n<meta name=\"description\" content=\"Part 3 Material through Geometry: digital models express states of material through geometric visualization \u2014\u00a0a lie that reveals the truth.\" \/>\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\/part-3-material-through-geometry\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"PART 3 \u2014 Material through Geometry - 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