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<title>Class TopoTri3Hfr | HiAPI-C# 2025 </title>
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<article data-uid="Hi.Geom.Topo.TopoTri3Hfr">
<h1 id="Hi_Geom_Topo_TopoTri3Hfr" data-uid="Hi.Geom.Topo.TopoTri3Hfr" class="text-break">
Class TopoTri3Hfr
</h1>
<div class="facts text-secondary">
<dl><dt>Namespace</dt><dd><a class="xref" href="Hi.html">Hi</a>.<a class="xref" href="Hi.Geom.html">Geom</a>.<a class="xref" href="Hi.Geom.Topo.html">Topo</a></dd></dl>
<dl><dt>Assembly</dt><dd>HiDisp.dll</dd></dl>
</div>
<div class="markdown summary"><p>Topological 3D triangle with <a class="xref" href="Hi.Geom.Fraction-1.html">Fraction&lt;decimal&gt;</a> coordinates.
Maintains connectivity to points and lines.
Corresponds to C++ <code>topo_tri3_t</code>.</p>
</div>
<div class="markdown conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public class TopoTri3Hfr</code></pre>
</div>
<dl class="typelist inheritance">
<dt>Inheritance</dt>
<dd>
<div><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object">object</a></div>
<div><span class="xref">TopoTri3Hfr</span></div>
</dd>
</dl>
<dl class="typelist inheritedMembers">
<dt>Inherited Members</dt>
<dd>
<div>
<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.equals#system-object-equals(system-object)">object.Equals(object)</a>
</div>
<div>
<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.equals#system-object-equals(system-object-system-object)">object.Equals(object, object)</a>
</div>
<div>
<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.gethashcode">object.GetHashCode()</a>
</div>
<div>
<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.gettype">object.GetType()</a>
</div>
<div>
<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.memberwiseclone">object.MemberwiseClone()</a>
</div>
<div>
<a class="xref" href="https://learn.microsoft.com/dotnet/api/system.object.referenceequals">object.ReferenceEquals(object, object)</a>
</div>
</dd></dl>
<dl class="typelist extensionMethods">
<dt>Extension Methods</dt>
<dd>
<div>
<a class="xref" href="Hi.Common.DuplicateUtil.html#Hi_Common_DuplicateUtil_TryDuplicate__1___0_System_Object___">DuplicateUtil.TryDuplicate&lt;TSelf&gt;(TSelf, params object[])</a>
</div>
<div>
<a class="xref" href="Hi.Common.InvokeUtil.html#Hi_Common_InvokeUtil_SelfInvoke__1___0_System_Action___0__">InvokeUtil.SelfInvoke&lt;TSrc&gt;(TSrc, Action&lt;TSrc&gt;)</a>
</div>
<div>
<a class="xref" href="Hi.Common.InvokeUtil.html#Hi_Common_InvokeUtil_SelfInvoke__2___0_System_Func___0___1__">InvokeUtil.SelfInvoke&lt;TSrc, TDst&gt;(TSrc, Func&lt;TSrc, TDst&gt;)</a>
</div>
<div>
<a class="xref" href="Hi.Coloring.ColorUtil.html#Hi_Coloring_ColorUtil_GetGloomyColor_System_Object_System_Double_System_Double_">ColorUtil.GetGloomyColor(object, double, double)</a>
</div>
<div>
<a class="xref" href="Hi.Common.NameUtil.html#Hi_Common_NameUtil_GetSelectionName_System_Object_">NameUtil.GetSelectionName(object)</a>
</div>
<div>
<a class="xref" href="Hi.Common.StringUtil.html#Hi_Common_StringUtil_GetPropertyStringIfToStringNotOverloaded_System_Object_System_Boolean_System_Boolean_">StringUtil.GetPropertyStringIfToStringNotOverloaded(object, bool, bool)</a>
</div>
<div>
<a class="xref" href="Hi.Parallels.LockUtil.html#Hi_Parallels_LockUtil_Lock_System_Object_">LockUtil.Lock(object)</a>
</div>
</dd></dl>
<h2 class="section" id="fields">Fields
</h2>
<h3 id="Hi_Geom_Topo_TopoTri3Hfr_Lines" data-uid="Hi.Geom.Topo.TopoTri3Hfr.Lines">
Lines
</h3>
<div class="markdown level1 summary"><p>Three directed edges.
The index is aligned to the begin point:
lines[0] = {P0=ps[0], P1=ps[1]},
lines[1] = {P0=ps[1], P1=ps[2]},
lines[2] = {P0=ps[2], P1=ps[0]}.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public readonly TopoLine3Hfr[] Lines</code></pre>
</div>
<h4 class="section">Field Value</h4>
<dl class="parameters">
<dt><a class="xref" href="Hi.Geom.Topo.TopoLine3Hfr.html">TopoLine3Hfr</a>[]</dt>
<dd></dd>
</dl>
<h3 id="Hi_Geom_Topo_TopoTri3Hfr_Ps" data-uid="Hi.Geom.Topo.TopoTri3Hfr.Ps">
Ps
</h3>
<div class="markdown level1 summary"><p>Three apex points. ps[i] == lines[i].P0.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public readonly TopoPoint3Hfr[] Ps</code></pre>
</div>
<h4 class="section">Field Value</h4>
<dl class="parameters">
<dt><a class="xref" href="Hi.Geom.Topo.TopoPoint3Hfr.html">TopoPoint3Hfr</a>[]</dt>
<dd></dd>
</dl>
<h2 class="section" id="properties">Properties
</h2>
<a id="Hi_Geom_Topo_TopoTri3Hfr_CachedCross_" data-uid="Hi.Geom.Topo.TopoTri3Hfr.CachedCross*"></a>
<h3 id="Hi_Geom_Topo_TopoTri3Hfr_CachedCross" data-uid="Hi.Geom.Topo.TopoTri3Hfr.CachedCross">
CachedCross
</h3>
<div class="markdown level1 summary"><p>Gets or sets the cached cross product. Setting this is useful when
the cross is computed externally (e.g. during construction).</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public Vec3Hfr? CachedCross { get; set; }</code></pre>
</div>
<h4 class="section">Property Value</h4>
<dl class="parameters">
<dt><a class="xref" href="Hi.Geom.Topo.Vec3Hfr.html">Vec3Hfr</a>?</dt>
<dd></dd>
</dl>
<h2 class="section" id="methods">Methods
</h2>
<a id="Hi_Geom_Topo_TopoTri3Hfr_ApexAtc_" data-uid="Hi.Geom.Topo.TopoTri3Hfr.ApexAtc*"></a>
<h3 id="Hi_Geom_Topo_TopoTri3Hfr_ApexAtc_System_Int32_" data-uid="Hi.Geom.Topo.TopoTri3Hfr.ApexAtc(System.Int32)">
ApexAtc(int)
</h3>
<div class="markdown level1 summary"><p>Gets the apex at the specified index.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public Vec3Hfr ApexAtc(int index)</code></pre>
</div>
<h4 class="section">Parameters</h4>
<dl class="parameters">
<dt><code>index</code> <a class="xref" href="https://learn.microsoft.com/dotnet/api/system.int32">int</a></dt>
<dd></dd>
</dl>
<h4 class="section">Returns</h4>
<dl class="parameters">
<dt><a class="xref" href="Hi.Geom.Topo.Vec3Hfr.html">Vec3Hfr</a></dt>
<dd></dd>
</dl>
<a id="Hi_Geom_Topo_TopoTri3Hfr_ClearCache_" data-uid="Hi.Geom.Topo.TopoTri3Hfr.ClearCache*"></a>
<h3 id="Hi_Geom_Topo_TopoTri3Hfr_ClearCache" data-uid="Hi.Geom.Topo.TopoTri3Hfr.ClearCache">
ClearCache()
</h3>
<div class="markdown level1 summary"><p>Clears all cached values.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public void ClearCache()</code></pre>
</div>
<a id="Hi_Geom_Topo_TopoTri3Hfr_GetCross_" data-uid="Hi.Geom.Topo.TopoTri3Hfr.GetCross*"></a>
<h3 id="Hi_Geom_Topo_TopoTri3Hfr_GetCross" data-uid="Hi.Geom.Topo.TopoTri3Hfr.GetCross">
GetCross()
</h3>
<div class="markdown level1 summary"><p>Gets the cross product vector from line edges: lines[2].arrow x lines[0].arrow.
Cached after first computation.
Corresponds to C++ <code>get_cross</code>.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public Vec3Hfr GetCross()</code></pre>
</div>
<h4 class="section">Returns</h4>
<dl class="parameters">
<dt><a class="xref" href="Hi.Geom.Topo.Vec3Hfr.html">Vec3Hfr</a></dt>
<dd></dd>
</dl>
<a id="Hi_Geom_Topo_TopoTri3Hfr_GetCrossByTls_" data-uid="Hi.Geom.Topo.TopoTri3Hfr.GetCrossByTls*"></a>
<h3 id="Hi_Geom_Topo_TopoTri3Hfr_GetCrossByTls_Hi_Geom_Topo_TopoLine3Hfr_Hi_Geom_Topo_TopoLine3Hfr_" data-uid="Hi.Geom.Topo.TopoTri3Hfr.GetCrossByTls(Hi.Geom.Topo.TopoLine3Hfr,Hi.Geom.Topo.TopoLine3Hfr)">
GetCrossByTls(TopoLine3Hfr, TopoLine3Hfr)
</h3>
<div class="markdown level1 summary"><p>Computes cross from line arrows: lines[2].arrow x lines[0].arrow.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public static Vec3Hfr GetCrossByTls(TopoLine3Hfr tl0, TopoLine3Hfr tl2)</code></pre>
</div>
<h4 class="section">Parameters</h4>
<dl class="parameters">
<dt><code>tl0</code> <a class="xref" href="Hi.Geom.Topo.TopoLine3Hfr.html">TopoLine3Hfr</a></dt>
<dd></dd>
<dt><code>tl2</code> <a class="xref" href="Hi.Geom.Topo.TopoLine3Hfr.html">TopoLine3Hfr</a></dt>
<dd></dd>
</dl>
<h4 class="section">Returns</h4>
<dl class="parameters">
<dt><a class="xref" href="Hi.Geom.Topo.Vec3Hfr.html">Vec3Hfr</a></dt>
<dd></dd>
</dl>
<a id="Hi_Geom_Topo_TopoTri3Hfr_GetIntegerNormal_" data-uid="Hi.Geom.Topo.TopoTri3Hfr.GetIntegerNormal*"></a>
<h3 id="Hi_Geom_Topo_TopoTri3Hfr_GetIntegerNormal" data-uid="Hi.Geom.Topo.TopoTri3Hfr.GetIntegerNormal">
GetIntegerNormal()
</h3>
<div class="markdown level1 summary"><p>Gets the integer normal vector (cross scaled to integer-like fraction).
Corresponds to C++ <code>get_integer_normal</code>.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public Vec3Hfr GetIntegerNormal()</code></pre>
</div>
<h4 class="section">Returns</h4>
<dl class="parameters">
<dt><a class="xref" href="Hi.Geom.Topo.Vec3Hfr.html">Vec3Hfr</a></dt>
<dd></dd>
</dl>
<a id="Hi_Geom_Topo_TopoTri3Hfr_GetNormal_" data-uid="Hi.Geom.Topo.TopoTri3Hfr.GetNormal*"></a>
<h3 id="Hi_Geom_Topo_TopoTri3Hfr_GetNormal" data-uid="Hi.Geom.Topo.TopoTri3Hfr.GetNormal">
GetNormal()
</h3>
<div class="markdown level1 summary"><p>Gets the normalized (unit length) normal vector in double precision.
Cached after first computation.
Corresponds to C++ <code>get_normal</code>.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public Vec3d GetNormal()</code></pre>
</div>
<h4 class="section">Returns</h4>
<dl class="parameters">
<dt><a class="xref" href="Hi.Geom.Vec3d.html">Vec3d</a></dt>
<dd></dd>
</dl>
<a id="Hi_Geom_Topo_TopoTri3Hfr_ResetCross_" data-uid="Hi.Geom.Topo.TopoTri3Hfr.ResetCross*"></a>
<h3 id="Hi_Geom_Topo_TopoTri3Hfr_ResetCross" data-uid="Hi.Geom.Topo.TopoTri3Hfr.ResetCross">
ResetCross()
</h3>
<div class="markdown level1 summary"><p>Recomputes the cached cross product.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public void ResetCross()</code></pre>
</div>
<a id="Hi_Geom_Topo_TopoTri3Hfr_ResetIntegerNormal_" data-uid="Hi.Geom.Topo.TopoTri3Hfr.ResetIntegerNormal*"></a>
<h3 id="Hi_Geom_Topo_TopoTri3Hfr_ResetIntegerNormal" data-uid="Hi.Geom.Topo.TopoTri3Hfr.ResetIntegerNormal">
ResetIntegerNormal()
</h3>
<div class="markdown level1 summary"><p>Recomputes the cached integer normal.
Also recomputes the cross.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public void ResetIntegerNormal()</code></pre>
</div>
<a id="Hi_Geom_Topo_TopoTri3Hfr_ResetNormal_" data-uid="Hi.Geom.Topo.TopoTri3Hfr.ResetNormal*"></a>
<h3 id="Hi_Geom_Topo_TopoTri3Hfr_ResetNormal" data-uid="Hi.Geom.Topo.TopoTri3Hfr.ResetNormal">
ResetNormal()
</h3>
<div class="markdown level1 summary"><p>Recomputes the cached normal.
Also recomputes the integer normal and cross.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public void ResetNormal()</code></pre>
</div>
<a id="Hi_Geom_Topo_TopoTri3Hfr_ToString_" data-uid="Hi.Geom.Topo.TopoTri3Hfr.ToString*"></a>
<h3 id="Hi_Geom_Topo_TopoTri3Hfr_ToString" data-uid="Hi.Geom.Topo.TopoTri3Hfr.ToString">
ToString()
</h3>
<div class="markdown level1 summary"><p>Returns a string that represents the current object.</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public override string ToString()</code></pre>
</div>
<h4 class="section">Returns</h4>
<dl class="parameters">
<dt><a class="xref" href="https://learn.microsoft.com/dotnet/api/system.string">string</a></dt>
<dd><p>A string that represents the current object.</p>
</dd>
</dl>
<a id="Hi_Geom_Topo_TopoTri3Hfr_ToTri3d_" data-uid="Hi.Geom.Topo.TopoTri3Hfr.ToTri3d*"></a>
<h3 id="Hi_Geom_Topo_TopoTri3Hfr_ToTri3d" data-uid="Hi.Geom.Topo.TopoTri3Hfr.ToTri3d">
ToTri3d()
</h3>
<div class="markdown level1 summary"><p>Converts to a <a class="xref" href="Hi.Geom.Tri3d.html">Tri3d</a> (double precision).</p>
</div>
<div class="markdown level1 conceptual"></div>
<div class="codewrapper">
<pre><code class="lang-csharp hljs">public Tri3d ToTri3d()</code></pre>
</div>
<h4 class="section">Returns</h4>
<dl class="parameters">
<dt><a class="xref" href="Hi.Geom.Tri3d.html">Tri3d</a></dt>
<dd></dd>
</dl>
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