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    <title>topic Re: Offset Loop in Fusion Design, Validate &amp; Document Forum</title>
    <link>https://forums.autodesk.com/t5/fusion-design-validate-document/offset-loop/m-p/13370052#M7883</link>
    <description>&lt;P&gt;Hi&lt;/P&gt;
&lt;P&gt;The mathematical topological limit of offset geometry is equal to the smallest radius in a given set of surfaces that will be offset inward.&lt;BR /&gt;In short, this limit sets the fillet that will first transform into a sharp corner.&lt;/P&gt;
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    <pubDate>Thu, 13 Mar 2025 22:55:22 GMT</pubDate>
    <dc:creator>kacper.suchomski</dc:creator>
    <dc:date>2025-03-13T22:55:22Z</dc:date>
    <item>
      <title>Offset Loop</title>
      <link>https://forums.autodesk.com/t5/fusion-design-validate-document/offset-loop/m-p/13251541#M7882</link>
      <description>&lt;P&gt;&lt;STRONG&gt;Hi FusionFellows, Mr Choppinlt,&lt;/STRONG&gt;&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;&lt;P&gt;&lt;SPAN&gt;Here are &lt;FONT color="#FF6600"&gt;&lt;EM&gt;&lt;STRONG&gt;my divagations&lt;/STRONG&gt;&lt;/EM&gt;&lt;/FONT&gt; related to the post &lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;FONT color="#993300"&gt;&lt;EM&gt;&lt;STRONG&gt;&lt;A href="https://forums.autodesk.com/t5/fusion-design-validate-document/unable-to-create-a-negative-offset-of-wingtip/td-p/13244326" target="_blank" rel="noopener"&gt;https://forums.autodesk.com/t5/fusion-design-validate-document/unable-to-create-a-negative-offset-of-wingtip/td-p/13244326&lt;/A&gt;&lt;/STRONG&gt;&lt;/EM&gt;&lt;/FONT&gt;&lt;/P&gt;&lt;P&gt;&lt;SPAN&gt;&amp;nbsp;&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;SPAN&gt;&lt;EM&gt;&lt;STRONG&gt;&lt;FONT color="#0000FF"&gt;Offset&lt;/FONT&gt;&lt;/STRONG&gt;&lt;/EM&gt;, regardless of whether &lt;EM&gt;&lt;STRONG&gt;2D&lt;/STRONG&gt;&lt;/EM&gt; or particularly &lt;EM&gt;&lt;STRONG&gt;3D&lt;/STRONG&gt;&lt;/EM&gt;, is quite &lt;FONT color="#FF0000"&gt;&lt;EM&gt;&lt;STRONG&gt;an expensive procedure&lt;/STRONG&gt;&lt;/EM&gt;&lt;/FONT&gt; and &lt;EM&gt;&lt;STRONG&gt;&lt;FONT color="#FF00FF"&gt;should be avoided&lt;/FONT&gt;&lt;/STRONG&gt;&lt;/EM&gt; unless there are &lt;FONT color="#CC99FF"&gt;&lt;EM&gt;&lt;STRONG&gt;cutthroat&lt;/STRONG&gt;&lt;/EM&gt;&lt;/FONT&gt; or &lt;FONT color="#993366"&gt;&lt;EM&gt;&lt;STRONG&gt;specific circumstances&lt;/STRONG&gt;&lt;/EM&gt;&lt;/FONT&gt;&lt;/SPAN&gt;.&lt;SPAN&gt; It is better (and more deterministic) to &lt;FONT color="#008000"&gt;&lt;EM&gt;&lt;STRONG&gt;achieve the goal by explicit modelling&lt;/STRONG&gt;&lt;/EM&gt;&lt;/FONT&gt;.&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;SPAN&gt;The operation also has &lt;FONT color="#FF0000"&gt;&lt;EM&gt;&lt;STRONG&gt;geometrical/topological limitations&lt;/STRONG&gt;&lt;/EM&gt;&lt;/FONT&gt; (&lt;EM&gt;&lt;STRONG&gt;T_lim&lt;/STRONG&gt;&lt;/EM&gt;), which a &lt;FONT color="#FF99CC"&gt;&lt;EM&gt;&lt;STRONG&gt;designer can not always sense/envisage&lt;/STRONG&gt;&lt;/EM&gt;&lt;/FONT&gt;.&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;SPAN&gt;Here is the example/demonstration of &lt;EM&gt;&lt;STRONG&gt;2D&lt;/STRONG&gt;&lt;/EM&gt; offset and its intricacy. A topology of the curve puts a limit on the allowable &lt;FONT color="#0000FF"&gt;&lt;EM&gt;&lt;STRONG&gt;offset value&lt;/STRONG&gt;&lt;/EM&gt;&lt;/FONT&gt;, not causing an abrupt morphological change. I manually added the curve marked &lt;FONT color="#33CCCC"&gt;&lt;EM&gt;&lt;STRONG&gt;Manual Addition&lt;/STRONG&gt;&lt;/EM&gt;&lt;/FONT&gt;, which shows the inversion of a topological direction of a curve when the allowable value is exceeded. The new functionality of the &lt;EM&gt;&lt;STRONG&gt;F360&lt;/STRONG&gt;&lt;/EM&gt; offset feature can approximate this limit (&lt;FONT color="#0000FF"&gt;&lt;EM&gt;&lt;STRONG&gt;Topology&amp;nbsp;Match &lt;/STRONG&gt;&lt;/EM&gt;&lt;/FONT&gt;label).&lt;/SPAN&gt;&lt;SPAN&gt;&amp;nbsp;&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;SPAN&gt;&lt;span class="lia-inline-image-display-wrapper lia-image-align-center" image-alt="OffsetLoop.png" style="width: 999px;"&gt;&lt;img src="https://forums.autodesk.com/t5/image/serverpage/image-id/1452794i015E2AB8D21E60AB/image-size/large?v=v2&amp;amp;px=999" role="button" title="OffsetLoop.png" alt="OffsetLoop.png" /&gt;&lt;/span&gt;&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;&lt;P&gt;&lt;SPAN&gt;The situation can be extended to higher dimensions, but drawing related examples would be difficult, if impossible. &lt;FONT color="#FF6600"&gt;&lt;EM&gt;&lt;STRONG&gt;Thus, as a substitute, imagine&lt;/STRONG&gt;&lt;/EM&gt;&lt;/FONT&gt; a &lt;EM&gt;&lt;STRONG&gt;3D&lt;/STRONG&gt;&lt;/EM&gt; surface passing through singularity (point, segment, infinite line), with normals inverted at the singularity … &lt;FONT color="#FF6600"&gt;&lt;EM&gt;&lt;STRONG&gt;like&lt;/STRONG&gt;&lt;/EM&gt;&lt;/FONT&gt; &lt;FONT color="#00FF00"&gt;&lt;EM&gt;&lt;STRONG&gt;Wrigley’s&lt;/STRONG&gt;&lt;/EM&gt;&lt;/FONT&gt; &lt;FONT color="#FF99CC"&gt;&lt;EM&gt;&lt;STRONG&gt;gum bubble&lt;/STRONG&gt;&lt;/EM&gt;&lt;/FONT&gt; surface normals opposite to inner &lt;FONT color="#FF0000"&gt;&lt;EM&gt;&lt;STRONG&gt;lips&lt;/STRONG&gt;&lt;/EM&gt;&lt;/FONT&gt; normals. It should not be difficult ... in &lt;EM&gt;&lt;STRONG&gt;Texas&lt;/STRONG&gt;&lt;/EM&gt;, should it?&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;SPAN&gt;How do we ascertain a topological offset limit for a &lt;EM&gt;&lt;STRONG&gt;3D&lt;/STRONG&gt;&lt;/EM&gt; surface? I don’t know the internals of the &lt;EM&gt;&lt;STRONG&gt;F360&lt;/STRONG&gt; &lt;FONT color="#0000FF"&gt;&lt;STRONG&gt;face offset&lt;/STRONG&gt;&lt;/FONT&gt;&lt;/EM&gt; algorithm, but I think it will be related to the minimal &lt;EM&gt;&lt;STRONG&gt;2D T_lim(s)&lt;/STRONG&gt;&lt;/EM&gt; of the surface &lt;EM&gt;&lt;STRONG&gt;2D&lt;/STRONG&gt;&lt;/EM&gt; projections.&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;SPAN&gt;Selecting the likely projections generating&amp;nbsp;&lt;EM&gt;&lt;STRONG&gt;T_lim&lt;/STRONG&gt;&lt;/EM&gt; should not be difficult in the case of the &lt;FONT color="#0000FF"&gt;&lt;EM&gt;&lt;STRONG&gt;wing tip&lt;/STRONG&gt;&lt;/EM&gt;&lt;/FONT&gt;.&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;SPAN&gt;&lt;FONT color="#FF0000"&gt;&lt;EM&gt;&lt;STRONG&gt;Note:&lt;/STRONG&gt;&lt;/EM&gt;&lt;/FONT&gt; The &lt;FONT color="#0000FF"&gt;&lt;EM&gt;&lt;STRONG&gt;offset term&lt;/STRONG&gt;&lt;/EM&gt;&lt;/FONT&gt; used above can be called a &lt;FONT color="#0000FF"&gt;&lt;EM&gt;&lt;STRONG&gt;classical offset&lt;/STRONG&gt;&lt;/EM&gt;&lt;/FONT&gt;. I posted some notes about other &lt;FONT color="#0000FF"&gt;&lt;EM&gt;&lt;STRONG&gt;‘offset’&lt;/STRONG&gt; &lt;/EM&gt;&lt;/FONT&gt;types some time ago. &lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;FONT color="#993300"&gt;&lt;EM&gt;&lt;STRONG&gt;&lt;A href="https://forums.autodesk.com/t5/fusion-design-validate-document/csf-curveshorteningflow-mode-shorten/m-p/12277392" target="_blank" rel="noopener"&gt;https://forums.autodesk.com/t5/fusion-design-validate-document/csf-curveshorteningflow-mode-shorten/m-p/12277392&lt;/A&gt;&lt;/STRONG&gt;&lt;/EM&gt;&lt;/FONT&gt;&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;&lt;P&gt;&lt;SPAN&gt;&lt;FONT color="#FF0000"&gt;&lt;EM&gt;&lt;STRONG&gt;Note&lt;/STRONG&gt;&lt;/EM&gt;&lt;/FONT&gt; to the &lt;EM&gt;&lt;STRONG&gt;TF360&lt;/STRONG&gt;&lt;/EM&gt;,&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;SPAN&gt;How difficult would it be to implement the &lt;FONT color="#0000FF"&gt;&lt;EM&gt;&lt;STRONG&gt;Topology Match&lt;/STRONG&gt;&lt;/EM&gt;&lt;/FONT&gt; option in &lt;EM&gt;&lt;STRONG&gt;3D&amp;nbsp;&lt;/STRONG&gt;&lt;/EM&gt;&lt;FONT color="#0000FF"&gt;&lt;STRONG&gt;face offset&amp;nbsp; feature&lt;/STRONG&gt;&lt;/FONT&gt;?&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;SPAN&gt;&amp;nbsp;&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;EM&gt;&lt;STRONG&gt;Regards&lt;/STRONG&gt;&lt;/EM&gt;&lt;/P&gt;&lt;P&gt;&lt;EM&gt;&lt;STRONG&gt;MichaelT&lt;/STRONG&gt;&lt;/EM&gt;&lt;/P&gt;</description>
      <pubDate>Thu, 09 Jan 2025 09:58:32 GMT</pubDate>
      <guid>https://forums.autodesk.com/t5/fusion-design-validate-document/offset-loop/m-p/13251541#M7882</guid>
      <dc:creator>MichaelT_123</dc:creator>
      <dc:date>2025-01-09T09:58:32Z</dc:date>
    </item>
    <item>
      <title>Re: Offset Loop</title>
      <link>https://forums.autodesk.com/t5/fusion-design-validate-document/offset-loop/m-p/13370052#M7883</link>
      <description>&lt;P&gt;Hi&lt;/P&gt;
&lt;P&gt;The mathematical topological limit of offset geometry is equal to the smallest radius in a given set of surfaces that will be offset inward.&lt;BR /&gt;In short, this limit sets the fillet that will first transform into a sharp corner.&lt;/P&gt;
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      <pubDate>Thu, 13 Mar 2025 22:55:22 GMT</pubDate>
      <guid>https://forums.autodesk.com/t5/fusion-design-validate-document/offset-loop/m-p/13370052#M7883</guid>
      <dc:creator>kacper.suchomski</dc:creator>
      <dc:date>2025-03-13T22:55:22Z</dc:date>
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