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    <div>
     <h4 class="title">
      <a name="gis-class-polygon">
      </a>
      13.4.2.7 Polygon Class
     </h4>
    </div>
   </div>
  </div>
  <p>
   A
   <code class="literal">
    Polygon
   </code>
   is a planar
   <code class="literal">
    Surface
   </code>
   representing a multisided geometry.
          It is defined by a single exterior boundary and zero or more
          interior boundaries, where each interior boundary defines a
          hole in the
   <code class="literal">
    Polygon
   </code>
   .
  </p>
  <p>
   <span class="bold">
    <strong>
     <code class="literal">
      Polygon
     </code>
     Examples
    </strong>
   </span>
  </p>
  <div class="itemizedlist">
   <ul class="itemizedlist" style="list-style-type: disc; ">
    <li class="listitem">
     <p>
      On a region map,
      <code class="literal">
       Polygon
      </code>
      objects could
              represent forests, districts, and so on.
     </p>
    </li>
   </ul>
  </div>
  <p>
   <span class="bold">
    <strong>
     <code class="literal">
      Polygon
     </code>
     Assertions
    </strong>
   </span>
  </p>
  <div class="itemizedlist">
   <ul class="itemizedlist" style="list-style-type: disc; ">
    <li class="listitem">
     <p>
      The boundary of a
      <code class="literal">
       Polygon
      </code>
      consists of a
              set of
      <code class="literal">
       LinearRing
      </code>
      objects (that is,
      <code class="literal">
       LineString
      </code>
      objects that are both simple
              and closed) that make up its exterior and interior
              boundaries.
     </p>
    </li>
    <li class="listitem">
     <p>
      A
      <code class="literal">
       Polygon
      </code>
      has no rings that cross. The
              rings in the boundary of a
      <code class="literal">
       Polygon
      </code>
      may
              intersect at a
      <code class="literal">
       Point
      </code>
      , but only as a
              tangent.
     </p>
    </li>
    <li class="listitem">
     <p>
      A
      <code class="literal">
       Polygon
      </code>
      has no lines, spikes, or
              punctures.
     </p>
    </li>
    <li class="listitem">
     <p>
      A
      <code class="literal">
       Polygon
      </code>
      has an interior that is a
              connected point set.
     </p>
    </li>
    <li class="listitem">
     <p>
      A
      <code class="literal">
       Polygon
      </code>
      may have holes. The exterior
              of a
      <code class="literal">
       Polygon
      </code>
      with holes is not
              connected. Each hole defines a connected component of the
              exterior.
     </p>
    </li>
   </ul>
  </div>
  <p>
   The preceding assertions make a
   <code class="literal">
    Polygon
   </code>
   a
          simple geometry.
  </p>
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