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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml"><!-- InstanceBegin template="/visual/Templates/template.dwt" codeOutsideHTMLIsLocked="false" -->
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
<!-- InstanceBeginEditable name="doctitle" -->
<title>ellipsoid</title>
<!-- InstanceEndEditable -->
<!-- InstanceBeginEditable name="head" -->
<link href="VisualRef.css" rel="stylesheet" type="text/css" />
<style type="text/css">
<!--
.style1 {font-size: x-large}
.style2 {font-size: xx-large}
-->
</style>
<!-- InstanceEndEditable -->
<script type="text/javascript">
<!--
function MM_jumpMenu(targ,selObj,restore){ //v3.0
  eval(targ+".location='"+selObj.options[selObj.selectedIndex].value+"'");
  if (restore) selObj.selectedIndex=0;
}
//-->
</script>
<link href="VisualRef.css" rel="stylesheet" type="text/css" />
</head>

<body>
<table width="800" border="0" cellpadding="0" cellspacing="0">
  <!--DWLayoutDefaultTable-->
  <tr>
    <td width="10" valign="top" bgcolor="#FFFFFF"><!--DWLayoutEmptyCell-->&nbsp;</td>
    <td width="10" height="272" valign="top" bgcolor="#DDDDDD"><p>&nbsp;</p>    </td>
    <td width="173" valign="top" bgcolor="#DDDDDD"><p class="Normal"><a href="index.html">Home</a></p>
      <p class="Normal">If you're new to Python <br />
      and VPython: <a href="VisualIntro.html">Introduction</a></p>
      <p class="Normal">A VPython <a href="VPython_Intro.pdf" target="_blank">tutorial</a></p>
      <p class="Normal"><a href="primitives.html">Pictures</a> of 3D objects</p>
      <p class="Normal">Choose a 3D object:</p>
        <select name="jumpMenu4" id="jumpMenu4" onchange="MM_jumpMenu('parent',this,0)">
          <option>Choose an object</option>
          <option value="cylinder.html">Overview</option>
          <option value="arrow.html">arrow</option>
          <option value="box.html">box</option>
          <option value="cone.html">cone</option>
          <option value="convex.html">convex</option>
          <option value="curve.html">curve</option>
          <option value="cylinder.html">cylinder</option>
          <option value="ellipsoid.html">ellipsoid</option>
          <option value="faces.html">faces</option>
          <option value="frame.html">frame</option>
          <option value="helix.html">helix</option>
          <option value="label.html">label</option>
          <option value="lights.html">lights</option>
          <option value="points.html">points</option>
          <option value="pyramid.html">pyramid</option>
          <option value="ring.html">ring</option>
          <option value="sphere.html">sphere</option>
        </select>
        
      <p class="Normal">Work with 3D objects:</p>
        <select name="jumpMenu4" id="jumpMenu5" onchange="MM_jumpMenu('parent',this,0)">
          <option>Choose an option</option>
          <option value="color.html">Color &amp; Opacity</option>
          <option value="lights.html">Lighting</option>
          <option value="materials.html">Materials &amp; Textures</option>
          <option value="defaults.html">Defaults</option>
          <option value="rate.html">Animation Speed</option>
          <option value="rotation.html">Rotations</option>
          <option value="options.html">Additional Options</option>
          <option value="delete.html">Delete an Object</option>
          <option value="float.html">3/4 = 0?</option>
        </select>
        
      <p class="Normal">Windows, Events, &amp; Files:</p>
        <select name="jumpMenu4" id="jumpMenu6" onchange="MM_jumpMenu('parent',this,0)">
          <option>Choose a topic</option>
          <option value="display.html">Windows</option>
          <option value="lights.html">Lighting</option>
          <option value="mouse.html">Mouse Events</option>
          <option value="mouse_click.html">&nbsp;&nbsp;&nbsp;Mouse Click</option>
          <option value="mouse_drag.html">&nbsp;&nbsp;&nbsp;Mouse Drag</option>
          <option value="keyboard.html">Keyboard Events</option>
          <option value="controls.html">Buttons and Sliders</option>
          <option value="files.html">Reading/Writing Files</option>
        </select>
        
      <p class="Normal"><a href="vector.html">Vector operations </a></p>
      <p class="Normal"><a href="graph.html">Graphs</a></p>
    <p class="Normal"><a href="factorial.html">factorial/combin</a></p>
    <p class="Normal">What's new in <a href="new_features.html">Visual 5</a></p>
    <p class="Normal"><a href="http://vpython.org" target="_blank">VPython web site</a><br />
      <a href="license.txt" target="_blank">Visual license</a><br />
      <a href="http://www.python.org" target="_blank">Python web site</a> <br />
      <a href="http://www.python.org/doc/2.5.2/lib/module-math.html" target="_blank">Math module</a> (sqrt etc.)<br />
    <a href="http://www.scipy.org/Documentation" target="_blank">Numpy module</a> (arrays)    </p></td>
    <td width="21" valign="top" bgcolor="#FFFFFF"><!--DWLayoutEmptyCell-->&nbsp;</td>
    <td width="586" rowspan="2" valign="top"><!-- InstanceBeginEditable name="content" -->
      <div>
        <table width="100%" border="1">
          <tr>
            <td width="77%"><div align="center"><span class="style1 style2"><font color="#0000A0">ellipsoid</font></span></div></td>
            <td width="23%"><div align="center"><img src="images/ellipsoid.jpg" alt="ellipsoid" width="130" height="127" /><a href="arrow.html"></a></div></td>
          </tr>
        </table>
        </div>
      <div>
        <p class="Normal"> A long ellipsoid object looks like a cigar; a short one looks 
          like somewhat like a pill. Its cross sections are circles or ellipses. The 
          elllipsoid object has the same attributes as the <a href="box.html">box object</a> and it can be thought of as fitting inside a box of the same dimensions:</p>
        <div>
          <p class="program"> myell = ellipsoid(pos=(x0,y0,z0), <br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;            length=L, height=H, 
            width=W) </p>
          <p class="Normal"> The given position is in the center of the ellipsoid, at 
            (x0, y0, z0). This is different from cylinder, whose pos attribute is at 
            one end of the cylinder. Just as with a cylinder, we can refer to the individual 
            vector components of the ellipsoid as<span class="attribute"> myell.x</span>, <span class="attribute">myell.y</span>, and <span class="attribute">myell.z</span>. 
            The length from end to end (along the x axis) is L , the height (along the 
            y axis) is H , and the width is W (along the z axis). For this ellipsoid, 
            we have <span class="attribute">myell.axis = (L, 0, 0)</span> . Note that 
            the axis of an ellipsoid is just like the axis of a cylinder. </p>
          <p class="Normal"> For an ellipsoid that isn't aligned with the coordinate 
            axes, additional issues come into play. The orientation of the length of 
            the ellipsoid is given by the axis (see diagrams shown with the documentation 
            on the <a href="box.html">box object</a>):</p>
        </div>
        <div>
          <p class="program"> myell = ellipsoid(pos=(x0,y0,z0), axis=(a,b,c), <br />
&nbsp;&nbsp;&nbsp;&nbsp;            &nbsp;&nbsp;&nbsp;&nbsp;length=L, height=H, width=W) </p>
          <p class="Normal"> The axis attribute gives a direction for the length of 
            the ellipsoid, and the length, height, and width of the ellipsoid are given 
            as before (if a length attribute is not given, the length is set to the 
            magnitude of the axis vector). </p>
          <p class="Normal"> The ellipsoid object has the following attributes and default 
            values, like those for cylinders: <span class="attribute">pos<font color="#000000"> (0,0,0)</font></span>, <span class="attribute">x</span><span class="attribute"><font color="#000000"> (0)</font></span>, <span class="attribute">y<font color="#000000">(0)</font></span>, <span class="attribute">z<font color="#000000">(0)</font></span>, <span class="attribute">axis<font color="#000000"> (1,0,0)</font></span>, <span class="attribute">length<font color="#000000"> (1)</font></span>, <span class="attribute">color<font color="#000000"> (1,1,1) 
              which is color.white</font></span>, <span class="attribute">red<font color="#000000"> (1)</font></span>, <span class="attribute">green<font color="#000000"> (1)</font></span>, <span class="attribute">blue<font color="#000000"> (1)</font></span>, <span class="attribute">opacity</span> (1), <a href="materials.html">material</a>, and <span class="attribute">up<font color="#000000"> (0,1,0)</font></span>. 
            Additional  attributes, similar to those for a box:</p>
        </div>
        <div>
          <p class="attributes"> <span class="attribute">height</span> In the y direction 
            in the simple case, default is 1</p>
          <p class="attributes"> <span class="attribute">width</span> In the z direction 
            in the simple case, default is 1</p>
          <p class="attributes"> <span class="attribute">size</span> (length, height, 
            width), default is (1,1,1)<br />
            <span class="attribute"> myell.size=(20,10,12) </span>sets length=20, height=10, 
            width=12</p>
          <p class="Normal"> Note that the <span class="attribute">pos</span> attribute 
            for cylinder, arrow, cone, and pyramid corresponds to one end of the object, 
            whereas for an ellipsoid, box, sphere, or ring it corresponds to the center 
            of the object. </p>
          <p class="Normal">See description of <a href="options.html">Additional
              Attributes</a> available for all 3D display objects.</p>
        </div>
      </div>
    <!-- InstanceEndEditable --></td>
  </tr>
  <tr>
    <td height="16" colspan="4"></td>
  </tr>
</table>
</body>
<!-- InstanceEnd --></html>