{"id":3522,"date":"2014-12-24T04:11:14","date_gmt":"2014-12-24T01:11:14","guid":{"rendered":"http:\/\/unitycoder.com\/blog\/?p=3522"},"modified":"2014-12-24T23:52:40","modified_gmt":"2014-12-24T20:52:40","slug":"mobius-strip-mesh-generator-wip","status":"publish","type":"post","link":"https:\/\/unitycoder.com\/blog\/2014\/12\/24\/mobius-strip-mesh-generator-wip\/","title":{"rendered":"Mobius strip Mesh Generator"},"content":{"rendered":"<p><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" data-attachment-id=\"3523\" data-permalink=\"https:\/\/unitycoder.com\/blog\/2014\/12\/24\/mobius-strip-mesh-generator-wip\/mobius_strip_mesh\/\" data-orig-file=\"https:\/\/i0.wp.com\/unitycoder.com\/blog\/wp-content\/uploads\/2014\/12\/mobius_strip_mesh.jpg?fit=680%2C534&amp;ssl=1\" data-orig-size=\"680,534\" 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=\"mobius_strip_mesh\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/unitycoder.com\/blog\/wp-content\/uploads\/2014\/12\/mobius_strip_mesh.jpg?fit=680%2C534&amp;ssl=1\" class=\"alignnone size-full wp-image-3523\" src=\"https:\/\/i0.wp.com\/unitycoder.com\/blog\/wp-content\/uploads\/2014\/12\/mobius_strip_mesh.jpg?resize=680%2C534\" alt=\"mobius_strip_mesh\" width=\"680\" height=\"534\" srcset=\"https:\/\/i0.wp.com\/unitycoder.com\/blog\/wp-content\/uploads\/2014\/12\/mobius_strip_mesh.jpg?w=680&amp;ssl=1 680w, https:\/\/i0.wp.com\/unitycoder.com\/blog\/wp-content\/uploads\/2014\/12\/mobius_strip_mesh.jpg?resize=300%2C236&amp;ssl=1 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><br \/>\n^Current results.. drawn with Debug.Drawline() for now..<\/p>\n<p>Trying to create <a title=\"http:\/\/en.wikipedia.org\/wiki\/M%C3%B6bius_strip\" href=\"http:\/\/en.wikipedia.org\/wiki\/M%C3%B6bius_strip\" target=\"_blank\">m\u00f6bius strip<\/a> mesh using a script..<\/p>\n<p>Founded some formulas here: <em>(and it even has .obj exporter, but rather do it inside unity..)<\/em><br \/>\n<a title=\"http:\/\/www.java2s.com\/Open-Source\/CSharp_Free_Code\/3D\/Download_Helix_3D_Toolkit.htm\" href=\"http:\/\/www.java2s.com\/Open-Source\/CSharp_Free_Code\/3D\/Download_Helix_3D_Toolkit.htm\" target=\"_blank\">http:\/\/www.java2s.com\/Open-Source\/CSharp_Free_Code\/3D\/Download_Helix_3D_Toolkit.htm<\/a><\/p>\n<p><strong>\u00a0TODO:<\/strong><br \/>\n&#8211; Build mesh (m\u00f6bius strip)<\/p>\n<p>** Well there is now better ready working unity version available here: <a title=\"https:\/\/bitbucket.org\/alexzzzz\/procedural-shapes-for-unity\" href=\"https:\/\/bitbucket.org\/alexzzzz\/procedural-shapes-for-unity\" target=\"_blank\">https:\/\/bitbucket.org\/alexzzzz\/procedural-shapes-for-unity<\/a><\/p>\n<p>So this one was not finished, here is the current source: (MobiusMaker.cs)<\/p>\n<pre class=\"brush: csharp; title: ; notranslate\" title=\"\">\r\n\r\n\/\/ Mobius strip formula from http:\/\/www.java2s.com\/Open-Source\/CSharp_Free_Code\/3D\/Download_Helix_3D_Toolkit.htm\r\n\/\/ Not finished.. (Enable Gizmos in GameView to see lines)\r\n\r\nusing UnityEngine;\r\nusing System.Collections;\r\n\r\npublic class MobiusMaker : MonoBehaviour {\r\n\r\n\u00a0\u00a0 \u00a0void Start () {\r\n\u00a0\u00a0 \u00a0\r\n\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0float pi = Mathf.PI;\r\n\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0float x=0f,y=0f,z=0f;\r\n\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0Vector3 pos = Vector3.zero;\r\n\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0Vector3 oldPos = Vector3.zero;\r\n\r\n\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0int n = 100;\r\n\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0int m = 10;\r\n\r\n\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0for (int i = 0; i &lt; n; i++)\r\n\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0{\r\n\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0float u = 1.0f * i \/ (n - 1);\r\n\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\r\n\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0for (int j = 0; j &lt; m; j++)\r\n\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0{\r\n\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0float v = 1.0f * j \/ (m - 1);\r\n\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0int ij = (i * m) + j;\r\n\r\n\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0u *= 2f * pi;\r\n\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0v = -1f + 2f * v;\r\n\r\n\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0float c1 = Mathf.Sin(u);\r\n\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0float c2 = Mathf.Cos(u);\r\n\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0float c3 = Mathf.Sin(u\/2);\r\n\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0float c4 = Mathf.Cos(u\/2);\r\n\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0x = c2+v*c4*c2;\r\n\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0y = c1+v*c4*c1;\r\n\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0z = v*c3;\r\n\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\r\n\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0pos.Set(x,y,z);\r\n\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\r\n\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0Debug.DrawLine(pos+new Vector3(0,0.01f,0),pos,Color.green, 100);\r\n\r\n\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0}\r\n\u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0}\r\n\u00a0\u00a0 \u00a0}\r\n\r\n}\r\n\r\n<\/pre>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>^Current results.. drawn with Debug.Drawline() for now.. Trying to create m\u00f6bius strip mesh using a script.. Founded some formulas here: (and it even has .obj exporter, but rather do it inside unity..) http:\/\/www.java2s.com\/Open-Source\/CSharp_Free_Code\/3D\/Download_Helix_3D_Toolkit.htm \u00a0TODO: &#8211; Build mesh (m\u00f6bius strip) ** Well there is now better [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":3523,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[23,3],"tags":[5,689,302,189],"class_list":["post-3522","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-functions-unity3d","category-unity3d","tag-mesh","tag-mobius","tag-procedural","tag-script"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/unitycoder.com\/blog\/wp-content\/uploads\/2014\/12\/mobius_strip_mesh.jpg?fit=680%2C534&ssl=1","jetpack_shortlink":"https:\/\/wp.me\/p1KTaT-UO","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/unitycoder.com\/blog\/wp-json\/wp\/v2\/posts\/3522","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/unitycoder.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/unitycoder.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/unitycoder.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/unitycoder.com\/blog\/wp-json\/wp\/v2\/comments?post=3522"}],"version-history":[{"count":10,"href":"https:\/\/unitycoder.com\/blog\/wp-json\/wp\/v2\/posts\/3522\/revisions"}],"predecessor-version":[{"id":3534,"href":"https:\/\/unitycoder.com\/blog\/wp-json\/wp\/v2\/posts\/3522\/revisions\/3534"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/unitycoder.com\/blog\/wp-json\/wp\/v2\/media\/3523"}],"wp:attachment":[{"href":"https:\/\/unitycoder.com\/blog\/wp-json\/wp\/v2\/media?parent=3522"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/unitycoder.com\/blog\/wp-json\/wp\/v2\/categories?post=3522"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/unitycoder.com\/blog\/wp-json\/wp\/v2\/tags?post=3522"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}