{"id":3328,"date":"2023-08-24T20:14:22","date_gmt":"2023-08-24T20:14:22","guid":{"rendered":"https:\/\/williamcromar.com\/newmediawiki\/?p=3328"},"modified":"2025-08-07T12:04:04","modified_gmt":"2025-08-07T12:04:04","slug":"motion-implied-through-modeling","status":"publish","type":"post","link":"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/","title":{"rendered":"Motion implied through modeling"},"content":{"rendered":"\n<div class=\"wp-block-columns has-white-background-color has-background is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:25%\"><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:75%\">\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\"><div class=\"wp-block-image is-style-rounded\">\n<figure class=\"aligncenter size-full is-resized\"><a href=\"https:\/\/williamcromar.com\/newmediawiki\/nmw\/fabbing\/\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"300\" data-attachment-id=\"20\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/nmw\/arthead_loopsm\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/arthead_loopsm.gif\" data-orig-size=\"300,300\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"arthead_loopsm\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/arthead_loopsm.gif\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/arthead_loopsm.gif\" alt=\"\" class=\"wp-image-20\" style=\"aspect-ratio:1;object-fit:cover;width:120px;height:undefinedpx\"\/><\/a><\/figure>\n<\/div>\n\n\n<p class=\"has-text-align-center has-small-font-size\"><strong><a href=\"https:\/\/williamcromar.com\/newmediawiki\/nmw\/fabbing\/\">Fabbing<\/a><\/strong><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\"><div class=\"wp-block-image is-style-rounded\">\n<figure class=\"aligncenter size-full is-resized\"><a href=\"https:\/\/williamcromar.com\/newmediawiki\/3d-4d-implied-motion\/\"><img loading=\"lazy\" decoding=\"async\" width=\"750\" height=\"750\" data-attachment-id=\"333\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/nmw\/fabbing\/planetovolume\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/planeToVolume.jpg\" data-orig-size=\"750,750\" 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;1462465345&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=\"planeToVolume\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/planeToVolume.jpg\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/planeToVolume.jpg\" alt=\"\" class=\"wp-image-333\" style=\"aspect-ratio:1;object-fit:cover;width:120px;height:undefinedpx\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/planeToVolume.jpg 750w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/planeToVolume-300x300.jpg 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/planeToVolume-150x150.jpg 150w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/planeToVolume-100x100.jpg 100w\" sizes=\"auto, (max-width: 750px) 100vw, 750px\" \/><\/a><\/figure>\n<\/div>\n\n\n<p class=\"has-text-align-center has-small-font-size\"><strong><a href=\"https:\/\/williamcromar.com\/newmediawiki\/3d-4d-implied-motion\/\">3D-4D | implied motion<\/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-rounded\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"1000\" data-attachment-id=\"2368\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/3d-4d-implied-motion\/boccioni\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/boccioni.jpg\" data-orig-size=\"1000,1000\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;2.2&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;iPhone 5s&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;1397396530&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;4.12&quot;,&quot;iso&quot;:&quot;200&quot;,&quot;shutter_speed&quot;:&quot;0.033333333333333&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;1&quot;}\" data-image-title=\"boccioni\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/boccioni.jpg\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/boccioni.jpg\" alt=\"\" class=\"wp-image-2368\" style=\"aspect-ratio:1;object-fit:cover;width:120px;height:undefinedpx\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/boccioni.jpg 1000w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/boccioni-300x300.jpg 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/boccioni-150x150.jpg 150w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/boccioni-768x768.jpg 768w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/boccioni-100x100.jpg 100w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-text-align-center has-small-font-size\"><strong>motion mods<\/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%\">\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:50%\">\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:100%\"><div class=\"wp-block-image is-style-default\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"1000\" data-attachment-id=\"2368\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/3d-4d-implied-motion\/boccioni\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/boccioni.jpg\" data-orig-size=\"1000,1000\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;2.2&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;iPhone 5s&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;1397396530&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;4.12&quot;,&quot;iso&quot;:&quot;200&quot;,&quot;shutter_speed&quot;:&quot;0.033333333333333&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;1&quot;}\" data-image-title=\"boccioni\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/boccioni.jpg\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/boccioni.jpg\" alt=\"\" class=\"wp-image-2368\" style=\"aspect-ratio:1;object-fit:cover\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/boccioni.jpg 1000w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/boccioni-300x300.jpg 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/boccioni-150x150.jpg 150w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/boccioni-768x768.jpg 768w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/boccioni-100x100.jpg 100w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><figcaption class=\"wp-element-caption\"><em>Umberto Boccioni,&nbsp;<a href=\"https:\/\/artandnewyorkcity.com\/2014\/06\/28\/the-guggenheim-museum-reconstructs-italian-futurism\/\" target=\"_blank\" rel=\"noreferrer noopener\">Unique Forms of Continuity in Space<\/a>, 1913<\/em><\/figcaption><\/figure>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_83 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-6a0c4ebf4599d\" 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-6a0c4ebf4599d\"  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\/motion-implied-through-modeling\/#Extrusions_are_shapes_moving_through_space\" >Extrusions are shapes moving through space<\/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\/motion-implied-through-modeling\/#Extrude\" >Extrude<\/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\/motion-implied-through-modeling\/#Workflows\" >Workflows<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/#Revolve\" >Revolve<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/#Workflows-2\" >Workflows<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/#Sweep\" >Sweep<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/#Workflows-3\" >Workflows<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/#Loft\" >Loft<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/#Workflows-4\" >Workflows<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/#Your_turn\" >Your turn<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Extrusions_are_shapes_moving_through_space\"><\/span>Extrusions are shapes moving through space<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Just over a century ago, the Italian Futurists were among the first artists to attempt a genuine expression of time and motion in art that was not dependent on the &#8220;freeze frame&#8221; approach typical of painting and sculpture since the Renaissance. In <em>Unique Forms of Continuity in Space<\/em>, Umberto Boccioni declares the intention not to show the figure, but the displacement of space as the body moves confidently forward. The &#8220;continuity&#8221; is the motion of the form itself.<\/p>\n\n\n\n<p>We can see that kind of &#8220;continuity&#8221; if we visualize a Fusion 360 Sketch form \u2014 a 2D object \u2014 moving through space, leaving a volume in its wake. This implied motion is generated through a series of parametric modeling techniques known as <strong>Extrude<\/strong>, <strong>Revolve<\/strong>, <strong>Sweep<\/strong>, and <strong>Loft<\/strong>. Though we&#8217;ve worked with them before, we take an advanced, deeper dive in this exercise.<\/p>\n\n\n\n<p>In the model below, find just a sample of four variations exploring the range of formal possibilities inherent in translating, rotating, and scaling a form through space. The objects below document the implied motion of the sketch.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"576\" data-attachment-id=\"3329\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/00_motion_modeling\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/00_motion_modeling.png\" data-orig-size=\"1920,1080\" 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;0&quot;}\" data-image-title=\"00_motion_modeling\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/00_motion_modeling-1024x576.png\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/00_motion_modeling-1024x576.png\" alt=\"\" class=\"wp-image-3329\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/00_motion_modeling-1024x576.png 1024w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/00_motion_modeling-300x169.png 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/00_motion_modeling-768x432.png 768w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/00_motion_modeling-1536x864.png 1536w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/00_motion_modeling.png 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\"><em><strong>Top<\/strong>, in Copper: Extrusions<\/em><br><em><strong>Right<\/strong>, in Gold: Revolves<\/em><br><em><strong>Left<\/strong>, in Silver: Sweeps<\/em><br><em><strong>Below<\/strong>, in Anodized Aluminum: Lofts<\/em><\/figcaption><\/figure>\n<\/div>\n\n\n<iframe loading=\"lazy\" src=\"https:\/\/mypsu5858.autodesk360.com\/shares\/public\/SH286ddQT78850c0d8a4458f0238b62be29d?mode=embed\" width=\"100%\" height=\"480\" allowfullscreen=\"true\" webkitallowfullscreen=\"true\" mozallowfullscreen=\"true\"  frameborder=\"0\"><\/iframe>\n\n\n\n<p><em>Model by the author<\/em><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Extrude\"><\/span>Extrude<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\">\n<p>The act of&nbsp;<strong>extrusion<\/strong>&nbsp;implies a linear motion of a shape through space, or the pushing of a mass through it to conform to its contours. In Anish Kapoor&#8217;s&nbsp;<em>Svyambh<\/em>, we see a massive amount of pigmented wax pushed along rails through one of the archways, the architecture of the space becoming the generator of the form of the work. Traces of the act of extrusion, and the forces at play, are evident in the marks at the surface of the archway, which functions like our Sketch in Fusion 360. The work moves almost imperceptibly along the tracks, becoming a time-based, performative motion work, not simply a static sculpture.&nbsp;<a href=\"http:\/\/anishkapoor.com\/580\/musee-des-beaux-arts-de-nantes-2007\" target=\"_blank\" rel=\"noreferrer noopener\">Visit this link to watch the form travel in a video \u00bb<\/a><\/p>\n\n\n\n<p>Our&nbsp;<strong>Extrude<\/strong>&nbsp;forms can be a &#8220;simple&#8221; development of a shape. They can also taper larger or smaller than the original sketch generator. We explore just 4 of the many combinations below.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"650\" height=\"479\" data-attachment-id=\"3331\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/dqwceh\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/dQwCEH.jpg\" data-orig-size=\"650,479\" 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=\"dQwCEH\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/dQwCEH.jpg\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/dQwCEH.jpg\" alt=\"\" class=\"wp-image-3331\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/dQwCEH.jpg 650w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/dQwCEH-300x221.jpg 300w\" sizes=\"auto, (max-width: 650px) 100vw, 650px\" \/><figcaption class=\"wp-element-caption\"><em>Anish Kapoor,&nbsp;<a href=\"http:\/\/anishkapoor.com\/580\/musee-des-beaux-arts-de-nantes-2007\" target=\"_blank\" rel=\"noreferrer noopener\">Svayambh<\/a>, 2007. Wax and oil pigment extruded through an archway,&nbsp;Mus\u00e9e des Beaux-Arts de Nantes.<\/em><\/figcaption><\/figure>\n<\/div><\/div>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Workflows\"><\/span>Workflows<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>The generator in all instances is a simple <strong>Sketch<\/strong> circle, which can be seen in the <strong>Browser&gt;Sketch<\/strong> folder as <strong>ExtrusionX<\/strong>.<\/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 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<p><strong>Rear: Extrude with Symmetric Offset<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Profile: 1 selected<\/li>\n\n\n\n<li>Start: Profile Plane<\/li>\n\n\n\n<li>Direction: Symmetric<\/li>\n\n\n\n<li>Extent: Distance<\/li>\n\n\n\n<li>Measurement: Half Length&nbsp;<\/li>\n\n\n\n<li>Distance: 1.5 in<\/li>\n\n\n\n<li>Taper Angle: -12.5 deg<\/li>\n\n\n\n<li>Operation: New Body<\/li>\n<\/ul>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p><strong>Right: Extrude with Offset Two Sides<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Profile: 1 selected<\/li>\n\n\n\n<li>Start: Offset Plane<\/li>\n\n\n\n<li>Offset: 1 in&nbsp;<\/li>\n\n\n\n<li>Direction: Two Sides<\/li>\n\n\n\n<li>Side 1\n<ul class=\"wp-block-list\">\n<li>Extent: Distance<\/li>\n\n\n\n<li>Distance: 2 in<\/li>\n\n\n\n<li>Taper Angle: -12.5 deg<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Side 2\n<ul class=\"wp-block-list\">\n<li>Extent: Distance<\/li>\n\n\n\n<li>Distance: 1 in<\/li>\n\n\n\n<li>Taper Angle: -12.5 deg<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Operation: New Body<\/li>\n<\/ul>\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-layout-flow wp-block-column-is-layout-flow\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"576\" data-attachment-id=\"3332\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/01_extrusions\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/01_extrusions.png\" data-orig-size=\"1920,1080\" 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;0&quot;}\" data-image-title=\"01_extrusions\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/01_extrusions-1024x576.png\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/01_extrusions-1024x576.png\" alt=\"\" class=\"wp-image-3332\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/01_extrusions-1024x576.png 1024w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/01_extrusions-300x169.png 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/01_extrusions-768x432.png 768w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/01_extrusions-1536x864.png 1536w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/01_extrusions.png 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\"><em><strong>Rear<\/strong>: Extrude with Symmetry and Taper<\/em><br><em><strong>Left<\/strong>: Extrude with Taper<\/em><br><em><strong>Right<\/strong>: Extrude with Offset and Taper<\/em><br><em><strong>Front<\/strong>: Simple Extrude<\/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>Left:&nbsp; Simple Extrude with Taper<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Profile: 1 selected<\/li>\n\n\n\n<li>Start: Profile Plane<\/li>\n\n\n\n<li>Direction: One Side<\/li>\n\n\n\n<li>Extent: Distance<\/li>\n\n\n\n<li>Distance: 3 in<\/li>\n\n\n\n<li>Taper Angle: \u201312.5 deg<\/li>\n\n\n\n<li>Operation: New Body<\/li>\n<\/ul>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p><strong>Front: Simple Extrude<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Profile: 1 selected<\/li>\n\n\n\n<li>Start: Profile Plane<\/li>\n\n\n\n<li>Direction: One Side<\/li>\n\n\n\n<li>Extent: Distance<\/li>\n\n\n\n<li>Distance: 3 in<\/li>\n\n\n\n<li>Taper Angle: 0 deg<\/li>\n\n\n\n<li>Operation: New Body<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Revolve\"><\/span>Revolve<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\">\n<p>If to <strong>extrude<\/strong> implies linear motion, then to <strong>revolve<\/strong> implies rotation of a shape about a linear axis. Kapoor again illustrates this phenomenon, taken to a monumental scale, in his bell-shaped profile for&nbsp;<em>Untitled<\/em>, 2010. The giant steel profiles slowly rotate, developing the wax and pigment form. The steel functions as a Fusion 360 <strong>Sketch<\/strong> might behave under the influence of the <strong>Revolve<\/strong> command. <a href=\"http:\/\/anishkapoor.com\/939\/martin-gropius-bau-2013\" target=\"_blank\" rel=\"noreferrer noopener\">See Kapoor&#8217;s revolve mechanism in action at this link<\/a>.<\/p>\n\n\n\n<p>Our <strong>Rotate<\/strong> forms can involve a full 360-degree rotation or a partial one. The Sketch can develop on either side of a plane to define specific angles in relation to it or can be performed symmetrically against the plane. These are described as a process in the examples seen below.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"650\" height=\"442\" data-attachment-id=\"3336\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/0yqas5\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/0YQas5.jpg\" data-orig-size=\"650,442\" 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=\"0YQas5\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/0YQas5.jpg\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/0YQas5.jpg\" alt=\"\" class=\"wp-image-3336\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/0YQas5.jpg 650w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/0YQas5-300x204.jpg 300w\" sizes=\"auto, (max-width: 650px) 100vw, 650px\" \/><figcaption class=\"wp-element-caption\"><em>Anish Kapoor,&nbsp;<a href=\"http:\/\/anishkapoor.com\/642\/untitled-16\" target=\"_blank\" rel=\"noreferrer noopener\">Untitled Works<\/a>, 2010-2013.<\/em> <em>Wax and oil pigment formed by<\/em> <em>various rotating profiles in steel<\/em>.<\/figcaption><\/figure>\n<\/div><\/div>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Workflows-2\"><\/span>Workflows<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>The <strong>Profile<\/strong> in all instances is a simple <strong>Sketch<\/strong> circle, which can be seen in the <strong>Browser&gt;Sketch<\/strong> folder as <strong>RevolveX<\/strong>. The <strong>Axis<\/strong> of rotation is supplied by a Sketch square, seen as a second line in the RevolveX sketch. One line is selected to create the axis.<\/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 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<p><strong>Rear: Angle Revolve Two Sides<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Profile: 1 selected<\/li>\n\n\n\n<li>Axis: 1 selected (on the square)<\/li>\n\n\n\n<li>Type: Angle<\/li>\n\n\n\n<li>Angle: 90 deg<\/li>\n\n\n\n<li>Angle: 45 deg&nbsp;<\/li>\n\n\n\n<li>Direction: Two Sides<\/li>\n\n\n\n<li>Operation: New Body<\/li>\n<\/ul>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p><strong>Right: Full Revolve<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Profile: 1 selected<\/li>\n\n\n\n<li>Axis: 1 selected (on the square)<\/li>\n\n\n\n<li>Type: Full&nbsp;<\/li>\n\n\n\n<li>Operation: New Body<\/li>\n<\/ul>\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-layout-flow wp-block-column-is-layout-flow\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"576\" data-attachment-id=\"3337\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/02_rotations\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/02_rotations.png\" data-orig-size=\"1920,1080\" 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;0&quot;}\" data-image-title=\"02_rotations\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/02_rotations-1024x576.png\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/02_rotations-1024x576.png\" alt=\"\" class=\"wp-image-3337\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/02_rotations-1024x576.png 1024w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/02_rotations-300x169.png 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/02_rotations-768x432.png 768w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/02_rotations-1536x864.png 1536w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/02_rotations.png 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\"><em><strong>Rear<\/strong>: Split Revolve<\/em><br><em><strong>Left<\/strong>: Symmetry Revolve<\/em><br><em><strong>Right<\/strong>: Full Revolve<\/em><br><em><strong>&nbsp;Front<\/strong>: Angle Revolve<\/em><br><\/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>Left:&nbsp; Angle Revolve Symmetric<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Profile: 1 selected<\/li>\n\n\n\n<li>Axis: 1 selected (on the square)<\/li>\n\n\n\n<li>Type: Angle&nbsp;<\/li>\n\n\n\n<li>Angle: 45 deg&nbsp;<\/li>\n\n\n\n<li>Direction: Symmetric<\/li>\n\n\n\n<li>Operation: New Body<\/li>\n<\/ul>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p><strong>Front: Angle Revolve<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Profile: 1 selected<\/li>\n\n\n\n<li>Axis: 1 selected (on the square)<\/li>\n\n\n\n<li>Type: Angle<\/li>\n\n\n\n<li>Angle: 90 deg<\/li>\n\n\n\n<li>Direction: One Side<\/li>\n\n\n\n<li>Operation: New Body<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Sweep\"><\/span>Sweep<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\">\n<p>If&nbsp;<strong>extrude<\/strong>&nbsp;takes a shape in one direction, a&nbsp;<strong>sweep<\/strong>&nbsp;guides it along a sinuous, curving, and sometimes twisting roller-coaster of a path. Sculptor Richard Serra&#8217;s most monumental work,&nbsp;<em>Band<\/em>, takes a thin profile of steel on a journey that feels at one time like a delicate ribbon, at other times like the hull of a battleship that might have been born at the same shipyard where the sculpture was fabricated. The sheets simply rely on their massive weight to hold the work structurally together, like the stones of an arch. No evidence of fastening provides an even more uncanny sense of precariousness as one walks into the enormous negative space. <a href=\"https:\/\/www.lacma.org\/art\/exhibition\/richard-serra-band\" target=\"_blank\" rel=\"noreferrer noopener\">Visit the LACMA website for more<\/a>.<\/p>\n\n\n\n<p>Our <strong>Sweep<\/strong> forms develop a simple square along a curving path keeping the form perpendicular to the path, parallel to the origin plane, tapering, or tapering with a twist below.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"638\" data-attachment-id=\"8089\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/chapter-1-the-history-of-modeling\/ch01_014-1\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/ch01_014-1.png\" data-orig-size=\"1335,832\" 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=\"ch01_014-1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/ch01_014-1-1024x638.png\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/ch01_014-1-1024x638.png\" alt=\"\" class=\"wp-image-8089\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/ch01_014-1-1024x638.png 1024w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/ch01_014-1-300x187.png 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/ch01_014-1-768x479.png 768w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2024\/03\/ch01_014-1.png 1335w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\"><em>Richard Serra,&nbsp;<a href=\"https:\/\/www.lacma.org\/art\/exhibition\/richard-serra-band\" target=\"_blank\" rel=\"noreferrer noopener\">Band<\/a>, 2006. A sinuous,<\/em> <em>twisting wall creates a physical presence<\/em> <em>at the border between delicacy and weight<\/em>.<\/figcaption><\/figure>\n<\/div><\/div>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Workflows-3\"><\/span>Workflows<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>The <strong>Profile<\/strong> in all instances is a simple <strong>Sketch<\/strong>&nbsp;square, which can be seen in the&nbsp;<strong>Browser&gt;Sketch&nbsp;<\/strong>folder as&nbsp;<strong>SweepX<\/strong>. The&nbsp;<strong>Path&nbsp;<\/strong>is supplied by a curving vertical line, seen as a second element in the SweepX sketch.<\/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 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<p><strong>Rear:&nbsp;Perpendicular&nbsp;Sweep<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Type: Single Path&nbsp;<\/li>\n\n\n\n<li>Profile: 1 selected<\/li>\n\n\n\n<li>Path: 1 selected<\/li>\n\n\n\n<li>\u2713 Chain Selection&nbsp;<\/li>\n\n\n\n<li>Distance: 1 (= full path length)<\/li>\n\n\n\n<li>Taper Angle: 0 deg<\/li>\n\n\n\n<li>Twist Angle: 0 deg&nbsp;<\/li>\n\n\n\n<li>Orientation: Perpendicular&nbsp;<\/li>\n\n\n\n<li>Operation: New Body<\/li>\n<\/ul>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p><strong>Right: Perpendicular Sweep with Taper<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Type: Single Path&nbsp;<\/li>\n\n\n\n<li>Profile: 1 selected<\/li>\n\n\n\n<li>Path: 1 selected<\/li>\n\n\n\n<li>\u2713 Chain Selection&nbsp;<\/li>\n\n\n\n<li>Distance: 1 (= full path length)<\/li>\n\n\n\n<li>Taper Angle: -6.25 deg<\/li>\n\n\n\n<li>Twist Angle: 0 deg&nbsp;<\/li>\n\n\n\n<li>Orientation: Perpendicular&nbsp;<\/li>\n\n\n\n<li>Operation: New Body<\/li>\n<\/ul>\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-layout-flow wp-block-column-is-layout-flow\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"576\" data-attachment-id=\"3341\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/03_sweeps\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/03_sweeps.png\" data-orig-size=\"1920,1080\" 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;0&quot;}\" data-image-title=\"03_sweeps\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/03_sweeps-1024x576.png\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/03_sweeps-1024x576.png\" alt=\"\" class=\"wp-image-3341\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/03_sweeps-1024x576.png 1024w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/03_sweeps-300x169.png 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/03_sweeps-768x432.png 768w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/03_sweeps-1536x864.png 1536w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/03_sweeps.png 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\"><em><strong>Rear<\/strong>: Perpendicular Sweep<\/em><br><em><strong>Left<\/strong>: Parallel Sweep<\/em><br><em><strong>Right<\/strong>: Perpendicular Sweep with Taper<\/em><br><em><strong>Front<\/strong>: Perpendicular Sweep with Taper and Twist<\/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>Left:&nbsp;&nbsp;Parallel Sweep<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Type: Single Path&nbsp;<\/li>\n\n\n\n<li>Profile: 1 selected<\/li>\n\n\n\n<li>Path: 1 selected<\/li>\n\n\n\n<li>\u2713 Chain Selection&nbsp;<\/li>\n\n\n\n<li>Distance: 1 (= full path length)&nbsp;<\/li>\n\n\n\n<li>Orientation: Parallel&nbsp;<\/li>\n\n\n\n<li>Operation: New Body&nbsp;<\/li>\n<\/ul>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p><strong>Front: Perpendicular Sweep with Taper and Twist<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Type: Single Path&nbsp;<\/li>\n\n\n\n<li>Profile: 1 selected<\/li>\n\n\n\n<li>Path: 1 selected<\/li>\n\n\n\n<li>\u2713 Chain Selection&nbsp;<\/li>\n\n\n\n<li>Distance: 1 (= full path length)<\/li>\n\n\n\n<li>Taper Angle: -6.25 deg<\/li>\n\n\n\n<li>Twist Angle: 135 deg&nbsp;<\/li>\n\n\n\n<li>Orientation: Perpendicular&nbsp;<\/li>\n\n\n\n<li>Operation: New Body<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Loft\"><\/span>Loft<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>If a sweep takes the shape on an implied roller coaster of a journey, a loft changes the shape along the journey itself. Instead of a path, the Loft function in Fusion 360 relies on the orientation and alignment (or non-alignment) of a series of two or more planes to generate a highly complex form. In Faux Vitrine, sculptor Martin Puryear strips the mass away from a lofted form to reveal a strange, two-faced development created by a half-circle-half-square shape. The shape changes scale, orientation, and rotation, creating a fragment of a horn-like form. <a href=\"https:\/\/www.matthewmarks.com\/new-york\/exhibitions\/2014-11-08_martin-puryear\/works-in-exhibition\/#\" target=\"_blank\" rel=\"noreferrer noopener\">See more views and details at Matthew Marks Gallery, who represents Puryear<\/a>.<\/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<p>Our <strong>Loft<\/strong> forms combine a simple circle and square sketch, sometimes parallel to each other, sometimes angled&#8230; sometimes stacked vertically, sometimes skewed. Our most complex form takes multiple, alternating squares and circles on a zig-zag bounce through space<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"448\" height=\"600\" data-attachment-id=\"3343\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/39117_preliminary_043\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/39117_PRELIMINARY_043.jpg\" data-orig-size=\"448,600\" 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;1415269696&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=\"39117_PRELIMINARY_043\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/39117_PRELIMINARY_043.jpg\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/39117_PRELIMINARY_043.jpg\" alt=\"\" class=\"wp-image-3343\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/39117_PRELIMINARY_043.jpg 448w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/39117_PRELIMINARY_043-224x300.jpg 224w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/39117_PRELIMINARY_043-300x402.jpg 300w\" sizes=\"auto, (max-width: 448px) 100vw, 448px\" \/><figcaption class=\"wp-element-caption\"><em>Martin Puryear,&nbsp;<a href=\"https:\/\/www.matthewmarks.com\/new-york\/exhibitions\/2014-11-08_martin-puryear\/works-in-exhibition\/#\/images\/3\/\" target=\"_blank\" rel=\"noreferrer noopener\">Faux Vitrine<\/a>, 2014.<\/em><\/figcaption><\/figure>\n<\/div><\/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\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"466\" height=\"600\" data-attachment-id=\"3344\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/39117_preliminary_173\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/39117_PRELIMINARY_173.jpg\" data-orig-size=\"466,600\" 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;1415269935&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=\"39117_PRELIMINARY_173\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/39117_PRELIMINARY_173.jpg\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/39117_PRELIMINARY_173.jpg\" alt=\"\" class=\"wp-image-3344\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/39117_PRELIMINARY_173.jpg 466w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/39117_PRELIMINARY_173-233x300.jpg 233w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/39117_PRELIMINARY_173-300x386.jpg 300w\" sizes=\"auto, (max-width: 466px) 100vw, 466px\" \/><figcaption class=\"wp-element-caption\"><em>Above, Faux Vitrine from the &#8220;circle&#8221; side&#8230;<\/em><\/figcaption><\/figure>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"404\" height=\"600\" data-attachment-id=\"3345\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/39117_preliminary_073\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/39117_PRELIMINARY_073.jpg\" data-orig-size=\"404,600\" 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;1415269745&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=\"39117_PRELIMINARY_073\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/39117_PRELIMINARY_073.jpg\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/39117_PRELIMINARY_073.jpg\" alt=\"\" class=\"wp-image-3345\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/39117_PRELIMINARY_073.jpg 404w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/39117_PRELIMINARY_073-202x300.jpg 202w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/39117_PRELIMINARY_073-300x446.jpg 300w\" sizes=\"auto, (max-width: 404px) 100vw, 404px\" \/><figcaption class=\"wp-element-caption\"><em>&#8230; and, at right, from the &#8220;square&#8221; side.<\/em><\/figcaption><\/figure>\n<\/div><\/div>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Workflows-4\"><\/span>Workflows<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>The <strong>Profiles<\/strong>&nbsp;in most cases are a simple <strong>Sketch<\/strong> square base and circle cap in our sample. These can be seen in the <strong>Browser &gt; Sketch<\/strong> folder. The <strong>Path<\/strong> is supplied by a curving vertical line, seen as a second element in the sketch.<\/p>\n\n\n\n<p>Notice that, except for the Loft with more than two Profiles, the workflow is identical. Changes in the Loft are not generated by parametric options in the operation, but rather by transforms of the Sketches themselves.<\/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 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<p><strong>Rear:&nbsp;Loft organized skewed vertical and parallel<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Profiles:\n<ul class=\"wp-block-list\">\n<li>Profile 1 = square at base<\/li>\n\n\n\n<li>Profile 2 = circle at cap&nbsp;<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Rails: none<\/li>\n\n\n\n<li>\u2713 Chain Selection<\/li>\n\n\n\n<li>\u2713 Closed&nbsp;<\/li>\n\n\n\n<li>Tangent Edges: Merge&nbsp;<\/li>\n\n\n\n<li>Operation: New Body<\/li>\n<\/ul>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p><strong>Right: Loft organized vertically and parallel<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Profiles:\n<ul class=\"wp-block-list\">\n<li>Profile 1 = square at base<\/li>\n\n\n\n<li>Profile 2 = circle at cap&nbsp;<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Rails: none<\/li>\n\n\n\n<li>\u2713 Chain Selection<\/li>\n\n\n\n<li>\u2713 Closed&nbsp;<\/li>\n\n\n\n<li>Tangent Edges: Merge&nbsp;<\/li>\n\n\n\n<li>Operation: New Body<\/li>\n<\/ul>\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-layout-flow wp-block-column-is-layout-flow\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"576\" data-attachment-id=\"3348\" data-permalink=\"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/04_lofts\/\" data-orig-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/04_lofts.png\" data-orig-size=\"1920,1080\" 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;0&quot;}\" data-image-title=\"04_lofts\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/04_lofts-1024x576.png\" src=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/04_lofts-1024x576.png\" alt=\"\" class=\"wp-image-3348\" srcset=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/04_lofts-1024x576.png 1024w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/04_lofts-300x169.png 300w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/04_lofts-768x432.png 768w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/04_lofts-1536x864.png 1536w, https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/08\/04_lofts.png 1920w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\"><em><strong>Rear<\/strong>: Loft with parallel square base and circular top, angle offset<\/em><br><em><strong>Left<\/strong>: Loft with alternating parallel squares and circles, organized vertically<\/em><br><em><strong>Right<\/strong>: Loft with parallel square base and circular top, organized vertically<\/em><br><em><strong>Front<\/strong>: Loft with square base and angled circular top, organized vertically<\/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>Left:&nbsp;&nbsp;Loft with alternating squares and circles<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Profiles:\n<ul class=\"wp-block-list\">\n<li>Profile 1 = square at base<\/li>\n\n\n\n<li>Profile 2 = circle near base<\/li>\n\n\n\n<li>Profile 3 = square under cap&nbsp;<\/li>\n\n\n\n<li>Profile 4 = circle at cap&nbsp;<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Rails: none<\/li>\n\n\n\n<li>\u2713 Chain Selection<\/li>\n\n\n\n<li>\u2713 Closed&nbsp;<\/li>\n\n\n\n<li>Tangent Edges: Merge&nbsp;<\/li>\n\n\n\n<li>Operation: New Body<\/li>\n<\/ul>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p><strong>Front:&nbsp;Loft organized vertically, angled top<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Profiles:\n<ul class=\"wp-block-list\">\n<li>Profile 1 = square at base<\/li>\n\n\n\n<li>Profile 2 = circle at cap&nbsp;<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Rails: none<\/li>\n\n\n\n<li>\u2713 Chain Selection<\/li>\n\n\n\n<li>\u2713 Closed&nbsp;<\/li>\n\n\n\n<li>Tangent Edges: Merge&nbsp;<\/li>\n\n\n\n<li>Operation: New Body<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<\/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>Using the examples above for inspiration, create ONE of each \u2014 <strong>Extrude<\/strong>, <strong>Revolve<\/strong>, <strong>Sweep<\/strong>, and <strong>Loft<\/strong>&nbsp;\u2014 using <strong>Sketch<\/strong> profiles and paths of your choice.&nbsp;Analyze the <strong>Sketch<\/strong> structures in the sample model to help you generate your own.<\/p>\n\n\n\n<p>Develop an advanced version of each operation, trying out parameters you have not yet experimented with. You can borrow the workflows from above, or invent your own through experimentation.<\/p>\n\n\n\n<p>Don&#8217;t forget micro-beveling! In our sample, we&#8217;ve applied a generous \u215b inch radius, in anticipation of the size of fillets needed in our final project, which uses a \u00bc inch router bit to carve.<\/p>\n\n\n\n<p>Create a high-resolution rendering (we recommend 1920 X 1080 pixels) to help illustrate your embedded model.<\/p>\n\n\n\n<p>When complete, illustrate your exercise blog post for this exercise with the image and embedded model.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Fabbing 3D-4D | implied motion motion mods Extrusions are shapes moving through space Just over a century ago, the Italian Futurists were among the first artists to attempt a genuine expression of time and motion in art that was not dependent on the &#8220;freeze frame&#8221; approach typical of painting and sculpture since the Renaissance. In&#8230; <a href=\"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/\">read more &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_eb_attr":"","_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[11,7],"tags":[],"class_list":["post-3328","post","type-post","status-publish","format-standard","hentry","category-exercises","category-fabbing"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.6 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Motion implied through modeling - newMediaWiki<\/title>\n<meta name=\"description\" content=\"Motion implied through modeling: four kinds of parametric modeling \u2014 extrudes, revolves, sweeps, and lofts \u2014 are shapes moving through space.\" \/>\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\/motion-implied-through-modeling\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Motion implied through modeling - newMediaWiki\" \/>\n<meta property=\"og:description\" content=\"Motion implied through modeling: four kinds of parametric modeling \u2014 extrudes, revolves, sweeps, and lofts \u2014 are shapes moving through space.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/\" \/>\n<meta property=\"og:site_name\" content=\"newMediaWiki\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-24T20:14:22+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-08-07T12:04:04+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/arthead_loopsm.gif\" \/>\n<meta name=\"author\" content=\"williamCromar\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"williamCromar\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"11 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/williamcromar.com\\\/newmediawiki\\\/motion-implied-through-modeling\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/williamcromar.com\\\/newmediawiki\\\/motion-implied-through-modeling\\\/\"},\"author\":{\"name\":\"williamCromar\",\"@id\":\"https:\\\/\\\/williamcromar.com\\\/newmediawiki\\\/#\\\/schema\\\/person\\\/680114553d8ae86ba751ea5e0ea983e3\"},\"headline\":\"Motion implied through modeling\",\"datePublished\":\"2023-08-24T20:14:22+00:00\",\"dateModified\":\"2025-08-07T12:04:04+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/williamcromar.com\\\/newmediawiki\\\/motion-implied-through-modeling\\\/\"},\"wordCount\":1763,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\\\/\\\/williamcromar.com\\\/newmediawiki\\\/#\\\/schema\\\/person\\\/680114553d8ae86ba751ea5e0ea983e3\"},\"image\":{\"@id\":\"https:\\\/\\\/williamcromar.com\\\/newmediawiki\\\/motion-implied-through-modeling\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/williamcromar.com\\\/newmediawiki\\\/wp-content\\\/uploads\\\/2023\\\/07\\\/arthead_loopsm.gif\",\"articleSection\":[\"Exercises\",\"Fabbing\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/williamcromar.com\\\/newmediawiki\\\/motion-implied-through-modeling\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/williamcromar.com\\\/newmediawiki\\\/motion-implied-through-modeling\\\/\",\"url\":\"https:\\\/\\\/williamcromar.com\\\/newmediawiki\\\/motion-implied-through-modeling\\\/\",\"name\":\"Motion implied through modeling - newMediaWiki\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/williamcromar.com\\\/newmediawiki\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/williamcromar.com\\\/newmediawiki\\\/motion-implied-through-modeling\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/williamcromar.com\\\/newmediawiki\\\/motion-implied-through-modeling\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/williamcromar.com\\\/newmediawiki\\\/wp-content\\\/uploads\\\/2023\\\/07\\\/arthead_loopsm.gif\",\"datePublished\":\"2023-08-24T20:14:22+00:00\",\"dateModified\":\"2025-08-07T12:04:04+00:00\",\"description\":\"Motion implied through modeling: four kinds of parametric modeling \u2014 extrudes, revolves, sweeps, and lofts \u2014 are shapes moving through space.\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/williamcromar.com\\\/newmediawiki\\\/motion-implied-through-modeling\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/williamcromar.com\\\/newmediawiki\\\/motion-implied-through-modeling\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/williamcromar.com\\\/newmediawiki\\\/motion-implied-through-modeling\\\/#primaryimage\",\"url\":\"https:\\\/\\\/williamcromar.com\\\/newmediawiki\\\/wp-content\\\/uploads\\\/2023\\\/07\\\/arthead_loopsm.gif\",\"contentUrl\":\"https:\\\/\\\/williamcromar.com\\\/newmediawiki\\\/wp-content\\\/uploads\\\/2023\\\/07\\\/arthead_loopsm.gif\",\"width\":300,\"height\":300},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/williamcromar.com\\\/newmediawiki\\\/motion-implied-through-modeling\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/williamcromar.com\\\/newmediawiki\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Motion implied through modeling\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/williamcromar.com\\\/newmediawiki\\\/#website\",\"url\":\"https:\\\/\\\/williamcromar.com\\\/newmediawiki\\\/\",\"name\":\"newMediaWiki\",\"description\":\"because all media are new\",\"publisher\":{\"@id\":\"https:\\\/\\\/williamcromar.com\\\/newmediawiki\\\/#\\\/schema\\\/person\\\/680114553d8ae86ba751ea5e0ea983e3\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/williamcromar.com\\\/newmediawiki\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":[\"Person\",\"Organization\"],\"@id\":\"https:\\\/\\\/williamcromar.com\\\/newmediawiki\\\/#\\\/schema\\\/person\\\/680114553d8ae86ba751ea5e0ea983e3\",\"name\":\"williamCromar\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/i0.wp.com\\\/williamcromar.com\\\/newmediawiki\\\/wp-content\\\/uploads\\\/2023\\\/07\\\/2015_newmedia_logo.png?fit=1754%2C1754&ssl=1\",\"url\":\"https:\\\/\\\/i0.wp.com\\\/williamcromar.com\\\/newmediawiki\\\/wp-content\\\/uploads\\\/2023\\\/07\\\/2015_newmedia_logo.png?fit=1754%2C1754&ssl=1\",\"contentUrl\":\"https:\\\/\\\/i0.wp.com\\\/williamcromar.com\\\/newmediawiki\\\/wp-content\\\/uploads\\\/2023\\\/07\\\/2015_newmedia_logo.png?fit=1754%2C1754&ssl=1\",\"width\":1754,\"height\":1754,\"caption\":\"williamCromar\"},\"logo\":{\"@id\":\"https:\\\/\\\/i0.wp.com\\\/williamcromar.com\\\/newmediawiki\\\/wp-content\\\/uploads\\\/2023\\\/07\\\/2015_newmedia_logo.png?fit=1754%2C1754&ssl=1\"},\"url\":\"https:\\\/\\\/williamcromar.com\\\/newmediawiki\\\/author\\\/williamcromar\\\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Motion implied through modeling - newMediaWiki","description":"Motion implied through modeling: four kinds of parametric modeling \u2014 extrudes, revolves, sweeps, and lofts \u2014 are shapes moving through space.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/","og_locale":"en_US","og_type":"article","og_title":"Motion implied through modeling - newMediaWiki","og_description":"Motion implied through modeling: four kinds of parametric modeling \u2014 extrudes, revolves, sweeps, and lofts \u2014 are shapes moving through space.","og_url":"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/","og_site_name":"newMediaWiki","article_published_time":"2023-08-24T20:14:22+00:00","article_modified_time":"2025-08-07T12:04:04+00:00","og_image":[{"url":"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/arthead_loopsm.gif","type":"","width":"","height":""}],"author":"williamCromar","twitter_card":"summary_large_image","twitter_misc":{"Written by":"williamCromar","Est. reading time":"11 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/#article","isPartOf":{"@id":"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/"},"author":{"name":"williamCromar","@id":"https:\/\/williamcromar.com\/newmediawiki\/#\/schema\/person\/680114553d8ae86ba751ea5e0ea983e3"},"headline":"Motion implied through modeling","datePublished":"2023-08-24T20:14:22+00:00","dateModified":"2025-08-07T12:04:04+00:00","mainEntityOfPage":{"@id":"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/"},"wordCount":1763,"commentCount":0,"publisher":{"@id":"https:\/\/williamcromar.com\/newmediawiki\/#\/schema\/person\/680114553d8ae86ba751ea5e0ea983e3"},"image":{"@id":"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/#primaryimage"},"thumbnailUrl":"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/arthead_loopsm.gif","articleSection":["Exercises","Fabbing"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/","url":"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/","name":"Motion implied through modeling - newMediaWiki","isPartOf":{"@id":"https:\/\/williamcromar.com\/newmediawiki\/#website"},"primaryImageOfPage":{"@id":"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/#primaryimage"},"image":{"@id":"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/#primaryimage"},"thumbnailUrl":"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/arthead_loopsm.gif","datePublished":"2023-08-24T20:14:22+00:00","dateModified":"2025-08-07T12:04:04+00:00","description":"Motion implied through modeling: four kinds of parametric modeling \u2014 extrudes, revolves, sweeps, and lofts \u2014 are shapes moving through space.","breadcrumb":{"@id":"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/#primaryimage","url":"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/arthead_loopsm.gif","contentUrl":"https:\/\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/arthead_loopsm.gif","width":300,"height":300},{"@type":"BreadcrumbList","@id":"https:\/\/williamcromar.com\/newmediawiki\/motion-implied-through-modeling\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/williamcromar.com\/newmediawiki\/"},{"@type":"ListItem","position":2,"name":"Motion implied through modeling"}]},{"@type":"WebSite","@id":"https:\/\/williamcromar.com\/newmediawiki\/#website","url":"https:\/\/williamcromar.com\/newmediawiki\/","name":"newMediaWiki","description":"because all media are new","publisher":{"@id":"https:\/\/williamcromar.com\/newmediawiki\/#\/schema\/person\/680114553d8ae86ba751ea5e0ea983e3"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/williamcromar.com\/newmediawiki\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":["Person","Organization"],"@id":"https:\/\/williamcromar.com\/newmediawiki\/#\/schema\/person\/680114553d8ae86ba751ea5e0ea983e3","name":"williamCromar","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/i0.wp.com\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/2015_newmedia_logo.png?fit=1754%2C1754&ssl=1","url":"https:\/\/i0.wp.com\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/2015_newmedia_logo.png?fit=1754%2C1754&ssl=1","contentUrl":"https:\/\/i0.wp.com\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/2015_newmedia_logo.png?fit=1754%2C1754&ssl=1","width":1754,"height":1754,"caption":"williamCromar"},"logo":{"@id":"https:\/\/i0.wp.com\/williamcromar.com\/newmediawiki\/wp-content\/uploads\/2023\/07\/2015_newmedia_logo.png?fit=1754%2C1754&ssl=1"},"url":"https:\/\/williamcromar.com\/newmediawiki\/author\/williamcromar\/"}]}},"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/williamcromar.com\/newmediawiki\/wp-json\/wp\/v2\/posts\/3328","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/williamcromar.com\/newmediawiki\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/williamcromar.com\/newmediawiki\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/williamcromar.com\/newmediawiki\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/williamcromar.com\/newmediawiki\/wp-json\/wp\/v2\/comments?post=3328"}],"version-history":[{"count":15,"href":"https:\/\/williamcromar.com\/newmediawiki\/wp-json\/wp\/v2\/posts\/3328\/revisions"}],"predecessor-version":[{"id":9280,"href":"https:\/\/williamcromar.com\/newmediawiki\/wp-json\/wp\/v2\/posts\/3328\/revisions\/9280"}],"wp:attachment":[{"href":"https:\/\/williamcromar.com\/newmediawiki\/wp-json\/wp\/v2\/media?parent=3328"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/williamcromar.com\/newmediawiki\/wp-json\/wp\/v2\/categories?post=3328"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/williamcromar.com\/newmediawiki\/wp-json\/wp\/v2\/tags?post=3328"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}