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      <string>&lt;html&gt;&lt;head/&gt;&lt;body&gt;&lt;p&gt;Cpixel is CVector3 c = ( c.x, c.y, c.z). It is each original point (pixel) in 3D space where the iteration starts from, ( c = original z for each point .) It is commonly found in formula structures z = f(z) + c.&lt;/p&gt;&lt;p&gt;The Cpixel multiplier effectively scales this point &amp;quot;c&amp;quot; towards the origin.&lt;/p&gt;&lt;p&gt;This transform allows the addition or subtraction of Cpixel, dependent on whether z is postive or negative.&lt;/p&gt;&lt;p&gt;e.g if &lt;span style=&quot; font-style:italic;&quot;&gt;z.x&lt;/span&gt; is positive then &lt;span style=&quot; font-style:italic;&quot;&gt;fabs(c.x)&lt;/span&gt; is added, if &lt;span style=&quot; font-style:italic;&quot;&gt;z.x&lt;/span&gt; is negative then &lt;span style=&quot; font-style:italic;&quot;&gt;fabs(c)&lt;/span&gt; is subtracted. &lt;/p&gt;&lt;p&gt;Also try negative addCpixel constant multipliers.&lt;/p&gt;&lt;p&gt;If checkBoxes are disabled then Cpixel remains signed.&lt;/p&gt;&lt;p&gt;&lt;br/&gt;&lt;/p&gt;&lt;/body&gt;&lt;/html&gt;</string>
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      <string>addCpi&amp;xel Symmetrical Constant Multiplier</string>
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         <string notr="true">&lt;p&gt;MsltoeSym2Mod based on the formula from Mandelbulb3D&lt;/p&gt;&lt;table&gt;
&lt;tr&gt;&lt;th&gt;Reference&lt;/th&gt;&lt;td&gt;&lt;a href=&quot;http://www.fractalforums.com/theory/choosing-the-squaring-formula-by-location/15/&quot;&gt;http://www.fractalforums.com/theory/choosing-the-squaring-formula-by-location/15/&lt;br&gt;
&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;
&lt;br&gt;&lt;b&gt;Examples using this formula&lt;/b&gt;&lt;br&gt;msltoesym2_mod_001.fract&lt;br&gt;msltoesym2_mod_002.fract&lt;h3&gt;Code&lt;/h3&gt;</string>
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         <string notr="true">&lt;body style=&quot;background-color:#fff5ee&quot;&gt;
&lt;pre style=&quot;color:#000000; background-color:#fff5ee;  font-family:'Courier New',monospace;&quot;&gt;&lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;void&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;MsltoeSym2ModIteration&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;CVector4 &lt;span style=&quot;color:#676767&quot;&gt;&amp;amp;&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;,&lt;/span&gt; &lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;const&lt;/span&gt; sFractal &lt;span style=&quot;color:#676767&quot;&gt;*&lt;/span&gt;fractal&lt;span style=&quot;color:#676767&quot;&gt;,&lt;/span&gt; sExtendedAux &lt;span style=&quot;color:#676767&quot;&gt;&amp;amp;&lt;/span&gt;aux&lt;span style=&quot;color:#676767&quot;&gt;)&lt;/span&gt;
&lt;span style=&quot;color:#676767&quot;&gt;{&lt;/span&gt;
  CVector4 c &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; aux&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;const_c&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt;

  aux&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;DE &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; aux&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;DE &lt;span style=&quot;color:#676767&quot;&gt;*&lt;/span&gt; &lt;span style=&quot;color:#ff1493&quot;&gt;2.0&lt;/span&gt; &lt;span style=&quot;color:#676767&quot;&gt;*&lt;/span&gt; aux&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;r&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt;
  CVector4 temp &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; z&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt;

  &lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;if&lt;/span&gt; &lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;&lt;span style=&quot;color:#00008f&quot;&gt;fabs&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;y&lt;span style=&quot;color:#676767&quot;&gt;) &amp;lt;&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;fabs&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;))&lt;/span&gt; &lt;span style=&quot;color:#2929cc&quot;&gt;// then swap&lt;/span&gt;
  &lt;span style=&quot;color:#676767&quot;&gt;{&lt;/span&gt;
    z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;y &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; temp&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt; &lt;span style=&quot;color:#2929cc&quot;&gt;// making z.y furthest away from axis&lt;/span&gt;
    z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;z &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; temp&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;y&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt;
  &lt;span style=&quot;color:#676767&quot;&gt;}&lt;/span&gt;
  &lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;if&lt;/span&gt; &lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;y &lt;span style=&quot;color:#676767&quot;&gt;&amp;gt;&lt;/span&gt; z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;)&lt;/span&gt; &lt;span style=&quot;color:#2929cc&quot;&gt;// then change sign of z.x and z.z&lt;/span&gt;
  &lt;span style=&quot;color:#676767&quot;&gt;{&lt;/span&gt;
    z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;x &lt;span style=&quot;color:#676767&quot;&gt;= -&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;x&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt;
  &lt;span style=&quot;color:#676767&quot;&gt;}&lt;/span&gt;

  CVector4 z2 &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; z &lt;span style=&quot;color:#676767&quot;&gt;*&lt;/span&gt; z&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt;              &lt;span style=&quot;color:#2929cc&quot;&gt;// squares&lt;/span&gt;
  &lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;double&lt;/span&gt; v3 &lt;span style=&quot;color:#676767&quot;&gt;= (&lt;/span&gt;z2&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;x &lt;span style=&quot;color:#676767&quot;&gt;+&lt;/span&gt; z2&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;y &lt;span style=&quot;color:#676767&quot;&gt;+&lt;/span&gt; z2&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;);&lt;/span&gt; &lt;span style=&quot;color:#2929cc&quot;&gt;// sum of squares&lt;/span&gt;
  &lt;span style=&quot;color:#2929cc&quot;&gt;// if (v3 &amp;lt; 1e-21 &amp;amp;&amp;amp; v3 &amp;gt; -1e-21)&lt;/span&gt;
  &lt;span style=&quot;color:#2929cc&quot;&gt;//  v3 = (v3 &amp;gt; 0) ? 1e-21 : -1e-21;&lt;/span&gt;
  &lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;double&lt;/span&gt; zr &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; &lt;span style=&quot;color:#ff1493&quot;&gt;1.0&lt;/span&gt; &lt;span style=&quot;color:#676767&quot;&gt;-&lt;/span&gt; z2&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;z &lt;span style=&quot;color:#676767&quot;&gt;/&lt;/span&gt; v3&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt;
  temp&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;x &lt;span style=&quot;color:#676767&quot;&gt;= (&lt;/span&gt;z2&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;x &lt;span style=&quot;color:#676767&quot;&gt;-&lt;/span&gt; z2&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;y&lt;span style=&quot;color:#676767&quot;&gt;) *&lt;/span&gt; zr&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt;
  temp&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;y &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; &lt;span style=&quot;color:#ff1493&quot;&gt;2.0&lt;/span&gt; &lt;span style=&quot;color:#676767&quot;&gt;*&lt;/span&gt; z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;x &lt;span style=&quot;color:#676767&quot;&gt;*&lt;/span&gt; z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;y &lt;span style=&quot;color:#676767&quot;&gt;*&lt;/span&gt; zr &lt;span style=&quot;color:#676767&quot;&gt;*&lt;/span&gt; fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;scale&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt; &lt;span style=&quot;color:#2929cc&quot;&gt;// scaling temp.y&lt;/span&gt;
  temp&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;z &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; &lt;span style=&quot;color:#ff1493&quot;&gt;2.0&lt;/span&gt; &lt;span style=&quot;color:#676767&quot;&gt;*&lt;/span&gt; z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;z &lt;span style=&quot;color:#676767&quot;&gt;*&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;sqrt&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;z2&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;x &lt;span style=&quot;color:#676767&quot;&gt;+&lt;/span&gt; z2&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;y&lt;span style=&quot;color:#676767&quot;&gt;);&lt;/span&gt;
  z &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; temp &lt;span style=&quot;color:#676767&quot;&gt;+&lt;/span&gt; fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;additionConstant000&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt;

  &lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;if&lt;/span&gt; &lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;addCpixelEnabledFalse&lt;span style=&quot;color:#676767&quot;&gt;)&lt;/span&gt;
  &lt;span style=&quot;color:#676767&quot;&gt;{&lt;/span&gt;
    CVector4 tempFAB &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; c&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt;
    &lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;if&lt;/span&gt; &lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;functionEnabledx&lt;span style=&quot;color:#676767&quot;&gt;)&lt;/span&gt; tempFAB&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;x &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;fabs&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;tempFAB&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;x&lt;span style=&quot;color:#676767&quot;&gt;);&lt;/span&gt;
    &lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;if&lt;/span&gt; &lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;functionEnabledy&lt;span style=&quot;color:#676767&quot;&gt;)&lt;/span&gt; tempFAB&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;y &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;fabs&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;tempFAB&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;y&lt;span style=&quot;color:#676767&quot;&gt;);&lt;/span&gt;
    &lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;if&lt;/span&gt; &lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;functionEnabledz&lt;span style=&quot;color:#676767&quot;&gt;)&lt;/span&gt; tempFAB&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;z &lt;span style=&quot;color:#676767&quot;&gt;=&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;fabs&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;tempFAB&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;);&lt;/span&gt;

    tempFAB &lt;span style=&quot;color:#676767&quot;&gt;*=&lt;/span&gt; fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;constantMultiplier000&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt;

    z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;x &lt;span style=&quot;color:#676767&quot;&gt;+=&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;sign&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;x&lt;span style=&quot;color:#676767&quot;&gt;) *&lt;/span&gt; tempFAB&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;x&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt;
    z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;y &lt;span style=&quot;color:#676767&quot;&gt;+=&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;sign&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;y&lt;span style=&quot;color:#676767&quot;&gt;) *&lt;/span&gt; tempFAB&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;y&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt;
    z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;z &lt;span style=&quot;color:#676767&quot;&gt;+=&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;sign&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;) *&lt;/span&gt; tempFAB&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt;
  &lt;span style=&quot;color:#676767&quot;&gt;}&lt;/span&gt;

  &lt;span style=&quot;color:#2e8b57; font-weight:bold&quot;&gt;double&lt;/span&gt; lengthTempZ &lt;span style=&quot;color:#676767&quot;&gt;= -&lt;/span&gt;z&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;&lt;span style=&quot;color:#00008f&quot;&gt;Length&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;();&lt;/span&gt;
  &lt;span style=&quot;color:#2929cc&quot;&gt;// if (lengthTempZ &amp;gt; -1e-21)&lt;/span&gt;
  &lt;span style=&quot;color:#2929cc&quot;&gt;//  lengthTempZ = -1e-21;   //  z is neg.)&lt;/span&gt;
  z &lt;span style=&quot;color:#676767&quot;&gt;*=&lt;/span&gt; &lt;span style=&quot;color:#ff1493&quot;&gt;1.0&lt;/span&gt; &lt;span style=&quot;color:#676767&quot;&gt;+&lt;/span&gt; fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;offset &lt;span style=&quot;color:#676767&quot;&gt;/&lt;/span&gt; lengthTempZ&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt;
  z &lt;span style=&quot;color:#676767&quot;&gt;*=&lt;/span&gt; fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;scale1&lt;span style=&quot;color:#676767&quot;&gt;;&lt;/span&gt;
  aux&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;DE &lt;span style=&quot;color:#676767&quot;&gt;*=&lt;/span&gt; &lt;span style=&quot;color:#00008f&quot;&gt;fabs&lt;/span&gt;&lt;span style=&quot;color:#676767&quot;&gt;(&lt;/span&gt;fractal&lt;span style=&quot;color:#676767&quot;&gt;-&amp;gt;&lt;/span&gt;transformCommon&lt;span style=&quot;color:#676767&quot;&gt;.&lt;/span&gt;scale1&lt;span style=&quot;color:#676767&quot;&gt;);&lt;/span&gt;
&lt;span style=&quot;color:#676767&quot;&gt;}&lt;/span&gt;
&lt;/pre&gt;
&lt;/body&gt;</string>
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