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      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
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        <e type="operand">C</e>
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        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="18" left="27" top="1692" width="240" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="points" scale_x="19.1943424957751" scale_y="23.2251544198879" scale_z="445.791568452592" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="0" transpose_y="0" transpose_z="0">
      <description active="true" position="Top" lang="eng">
        <p>Rotated 'θ' coplanar circles...</p>
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        <e type="operand">myRot</e>
      </input>
    </plot>
  </region>
  <region id="19" left="279" top="1692" width="240" height="158" color="#000000" bgColor="#ffffff" fontSize="10">
    <plot type="2d" render="lines" scale_x="23.2251544198879" scale_y="22.3099906673782" scale_z="518.152978356115" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="0" transpose_y="0" transpose_z="0">
      <description active="true" position="Top" lang="eng">
        <p>Native coplanar circles</p>
      </description>
      <input>
        <e type="operand">pts</e>
      </input>
    </plot>
  </region>
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      <description active="true" position="Top" lang="eng">
        <p>Rotated a paired geometric vector </p>
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    </plot>
  </region>
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    <area single="true" collapsed="true" />
  </region>
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    <math fractionType="auto" decimalPlaces="3">
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        <e type="operand">Rot</e>
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  <region id="23" left="27" top="1971" width="314" height="31" color="#000000" bgColor="#80ffff" fontSize="14">
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      <p bold="true">3D triplet vector rotation</p>
    </text>
  </region>
  <region id="24" left="396" top="1971" width="198" height="31" color="#800000" bgColor="#ffffff" fontSize="14">
    <text lang="eng">
      <p bold="true">The Euler system</p>
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  </region>
  <region id="25" top="2016" color="#000000" bgColor="#ffffff">
    <area collapsed="true">
      <title lang="eng">
        <p>     M     </p>
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    </area>
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          <e type="operator" args="1">-</e>
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          <e type="operator" args="1">-</e>
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          <e type="operator" args="1">-</e>
          <e type="operand">0.052</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.036</e>
          <e type="operator" args="1">-</e>
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          <e type="operator" args="1">-</e>
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          <e type="operator" args="1">-</e>
          <e type="operand">0.035</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
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          <e type="operator" args="1">-</e>
          <e type="operand">0.083</e>
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          <e type="operator" args="1">-</e>
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          <e type="operator" args="1">-</e>
          <e type="operand">0.049</e>
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          <e type="operator" args="1">-</e>
          <e type="operand">0.017</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.021</e>
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          <e type="operator" args="1">-</e>
          <e type="operand">0.029</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.035</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
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          <e type="operator" args="1">-</e>
          <e type="operand">0.083</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
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          <e type="operand">8.618</e>
          <e type="operator" args="1">-</e>
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          <e type="operand">0.042</e>
          <e type="operand">8.618</e>
          <e type="operator" args="1">-</e>
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          <e type="operator" args="1">-</e>
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          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
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          <e type="operator" args="1">-</e>
          <e type="operand">0.083</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.027</e>
          <e type="operand">0.072</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.051</e>
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          <e type="operand">8.618</e>
          <e type="operator" args="1">-</e>
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          <e type="operand">0.006</e>
          <e type="operand">8.618</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.016</e>
          <e type="operand">0.042</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.027</e>
          <e type="operand">0.072</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.051</e>
          <e type="operand">0.01</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.069</e>
          <e type="operand">0.057</e>
          <e type="operator" args="1">-</e>
          <e type="operand">8.618</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.041</e>
          <e type="operand">0.034</e>
          <e type="operator" args="1">-</e>
          <e type="operand">8.618</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.03</e>
          <e type="operand">0.006</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.051</e>
          <e type="operand">0.01</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.069</e>
          <e type="operand">0.057</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.078</e>
          <e type="operand">0.081</e>
          <e type="operator" args="1">-</e>
          <e type="operand">8.618</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.046</e>
          <e type="operand">0.048</e>
          <e type="operator" args="1">-</e>
          <e type="operand">8.618</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.041</e>
          <e type="operand">0.034</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.069</e>
          <e type="operand">0.057</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.078</e>
          <e type="operand">0.081</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.08</e>
          <e type="operand">0.045</e>
          <e type="operator" args="1">-</e>
          <e type="operand">8.618</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.047</e>
          <e type="operand">0.027</e>
          <e type="operator" args="1">-</e>
          <e type="operand">8.618</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.046</e>
          <e type="operand">0.048</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.078</e>
          <e type="operand">0.081</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.069</e>
          <e type="operand">0.057</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.051</e>
          <e type="operand">0.01</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.027</e>
          <e type="operand">0.072</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.002</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.083</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.029</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.035</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.052</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.036</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.068</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.079</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.076</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.063</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.079</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.076</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.063</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.068</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.079</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.052</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.036</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.029</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.035</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.002</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.083</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.027</e>
          <e type="operand">0.072</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.051</e>
          <e type="operand">0.01</e>
          <e type="operator" args="1">-</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.069</e>
          <e type="operand">0.057</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.078</e>
          <e type="operand">0.081</e>
          <e type="operand">7.298</e>
          <e type="operator" args="1">-</e>
          <e type="operand">0.08</e>
          <e type="operand">0.045</e>
          <e type="operand">2380</e>
          <e type="operand">3</e>
          <e type="function" preserve="true" args="7142">mat</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="27" top="45639" color="#000000" bgColor="#ffffff">
      <area terminator="true" />
    </region>
  </region>
  <region id="28" left="36" top="45693" width="217" height="67" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">∠</e>
        <e type="function" args="1">Ω1</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">∠</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operand">∠</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">∠</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operand">∠</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operand">3</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="11">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="29" left="261" top="45693" width="217" height="67" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="false" position="Right" lang="rus">
        <p>Матрица преобразования для поворота вокруг оси y</p>
      </description>
      <input>
        <e type="operand">∠</e>
        <e type="function" args="1">Ω2</e>
        <e type="operand">∠</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operand">0</e>
        <e type="operand">∠</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">∠</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">∠</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operand">3</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="11">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="30" left="486" top="45693" width="217" height="67" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="false" position="Right" lang="rus">
        <p>Матрица преобразования для поворота вокруг оси z</p>
      </description>
      <input>
        <e type="operand">∠</e>
        <e type="function" args="1">Ω3</e>
        <e type="operand">∠</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operand">∠</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">∠</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operand">∠</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">3</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="11">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="31" left="36" top="45774" width="56" height="41" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">α</e>
        <e type="operand">π</e>
        <e type="operand">4</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="32" left="135" top="45783" width="58" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">β</e>
        <e type="operand">0</e>
        <e type="operand">π</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="33" left="252" top="45783" width="75" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">φ</e>
        <e type="operand">0.2</e>
        <e type="operand">π</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="34" left="396" top="45783" width="141" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="3">
      <input>
        <e type="operand">φ</e>
        <e type="operator" args="1">-</e>
        <e type="function" preserve="true" args="1">tan</e>
      </input>
      <result action="numeric">
        <e type="operand">0.727</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="35" left="126" top="45819" width="185" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">α</e>
        <e type="operand">β</e>
        <e type="operand">φ</e>
        <e type="operand">1</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="5">mat</e>
        <e type="operand">π</e>
        <e type="operand">6</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">π</e>
        <e type="operator" args="2">*</e>
        <e type="operand">0.2</e>
        <e type="operand">π</e>
        <e type="operator" args="2">*</e>
        <e type="operand">1</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="5">mat</e>
        <e type="operator" args="2">≡</e>
      </input>
    </math>
  </region>
  <region id="36" left="36" top="45828" width="55" height="41" color="#000000" bgColor="#ffff80" fontSize="10">
    <math>
      <input>
        <e type="operand">θ</e>
        <e type="operand">π</e>
        <e type="operand">16</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="37" left="36" top="45873" width="202" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">γ</e>
        <e type="operand">α</e>
        <e type="function" args="1">Ω1</e>
        <e type="operand">β</e>
        <e type="function" args="1">Ω2</e>
        <e type="operator" args="2">*</e>
        <e type="operand">φ</e>
        <e type="function" args="1">Ω3</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">eval</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="38" left="27" top="45909" width="236" height="63" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">γ</e>
      </input>
      <result action="numeric">
        <e type="operand">0.809</e>
        <e type="operand">0.5878</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0</e>
        <e type="operand">0.4156</e>
        <e type="operand">0.5721</e>
        <e type="operand">0.7071</e>
        <e type="operand">0.4156</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.5721</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.7071</e>
        <e type="operand">3</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="11">mat</e>
      </result>
    </math>
  </region>
  <region id="39" left="288" top="45918" width="406" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>For plotting, 'step1' from plot menu [brush overclick right, Animate] check step1 option. </p>
    </text>
  </region>
  <region id="40" left="27" top="45981" width="354" height="55" border="true" color="#000000" bgColor="#ffffe1" fontSize="10">
    <math>
      <input>
        <e type="operand">M</e>
        <e type="operand">t</e>
        <e type="function" args="2">f</e>
        <e type="operand">t</e>
        <e type="function" args="1">B</e>
        <e type="operand">M</e>
        <e type="operand">θ</e>
        <e type="operand">t</e>
        <e type="operator" args="2">*</e>
        <e type="function" args="1">Ω1</e>
        <e type="operator" args="2">*</e>
        <e type="operand">γ</e>
        <e type="operator" args="2">*</e>
        <e type="function" preserve="true" args="1">eval</e>
        <e type="operator" args="2">:</e>
        <e type="operand">t</e>
        <e type="function" args="1">B</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="operand">t</e>
        <e type="function" args="1">B</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="function" preserve="true" args="2">augment</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">line</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="41" left="405" top="45981" width="197" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="3">
      <input>
        <e type="operand">slope</e>
        <e type="operand">φ</e>
        <e type="operator" args="1">-</e>
        <e type="function" preserve="true" args="1">tan</e>
        <e type="operator" args="2">:</e>
      </input>
      <result action="numeric">
        <e type="operand">0.727</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="42" left="405" top="46008" width="233" height="53" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="3">
      <description active="true" position="Right" lang="eng">
        <p>slope otherwiseconsumes timing</p>
      </description>
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        <e type="operand">M</e>
        <e type="operand">0</e>
        <e type="function" args="2">f</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="function" preserve="true" args="1">Min</e>
        <e type="operand">M</e>
        <e type="operand">0</e>
        <e type="function" args="2">f</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">col</e>
        <e type="function" preserve="true" args="1">Max</e>
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    <math>
      <input>
        <e type="operand">step1</e>
        <e type="operand">0</e>
        <e type="operand">10</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="44" left="162" top="46044" width="184" height="27" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">c</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand" style="string">+</e>
        <e type="operand">200</e>
        <e type="operand" style="string">red</e>
        <e type="operand">1</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="7">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
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    <math>
      <input>
        <e type="operand">Figure</e>
        <e type="operand">5</e>
        <e type="operand">0</e>
        <e type="operand" style="string">Breather</e>
        <e type="operand">14</e>
        <e type="operand" style="string">blue</e>
        <e type="operand">1</e>
        <e type="operand">5</e>
        <e type="function" preserve="true" args="7">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
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    <math optimize="2" decimalPlaces="2">
      <description active="true" position="Right" lang="eng">
        <p>axis of rotation</p>
      </description>
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        <e type="operand">x</e>
        <e type="function" args="1">axerot</e>
        <e type="operand">slope</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
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    </math>
  </region>
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    <plot type="2d" render="lines" scale_x="1.68303941552405" scale_y="1.66620902136881" scale_z="1.66620902136881" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="-24" transpose_y="1" transpose_z="0" animate="step1" frameRate="5">
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        <e type="operand">t</e>
        <e type="function" args="2">f</e>
        <e type="operand">x</e>
        <e type="function" args="1">axerot</e>
        <e type="operand">Figure</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">sys</e>
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    <math decimalPlaces="3">
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        <e type="operand">XY</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operand">2</e>
        <e type="operand">0.01</e>
        <e type="function" preserve="true" args="3">range</e>
        <e type="operator" args="2">:</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">rows</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">y</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="function" preserve="true" args="1">eval</e>
        <e type="operator" args="2">:</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" preserve="true" args="2">augment</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">line</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
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    <math decimalPlaces="3">
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        <e type="operand">ω</e>
        <e type="function" args="1">rot</e>
        <e type="operand">ω</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operand">ω</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operator" args="1">-</e>
        <e type="operand">ω</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operand">ω</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operand">2</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="6">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
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    <math decimalPlaces="3">
      <input>
        <e type="operand">ω</e>
        <e type="operand">π</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="51" left="477" top="46287" width="153" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="3">
      <description active="true" position="Right" lang="eng">
        <p>NOT commutative</p>
      </description>
      <input>
        <e type="operand">Rotated</e>
        <e type="operand">XY</e>
        <e type="operand">ω</e>
        <e type="function" args="1">rot</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="52" left="477" top="46314" width="240" height="158" color="#000000" bgColor="#e1ff80" fontSize="10">
    <plot type="2d" render="lines" scale_x="3.2502448186996" scale_y="3.2502448186996" scale_z="3.2502448186996" rotate_x="0" rotate_y="0" rotate_z="0" transpose_x="2" transpose_y="0" transpose_z="0">
      <input>
        <e type="operand">XY</e>
        <e type="operand">Rotated</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
      </input>
    </plot>
  </region>
</regions>