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* A Polygon <math>S</math> is defined by a planar Linear Ring  <math>R_s</math> (exterior ring).
 
* A Polygon <math>S</math> is defined by a planar Linear Ring  <math>R_s</math> (exterior ring).
 
* A polygon has exactly one exterior ring. In addition, a polygon can have <math>n\ge0</math> interior rings. These interior rings a planar Linear Rings as well. All interior rings and the exterior ring must be on the same plane (within the given tolerance).  
 
* A polygon has exactly one exterior ring. In addition, a polygon can have <math>n\ge0</math> interior rings. These interior rings a planar Linear Rings as well. All interior rings and the exterior ring must be on the same plane (within the given tolerance).  
* As interior rings define holes in the polygon, they have to be completely included in the area defined by the exterior ring. Interior rings must not overlap other Linear Rings or be included in another Linear Ring (except the exterior Linear Ring).
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* As interior rings define holes in the polygon, they have to be completely included in the area defined by the exterior ring. Interior rings must not overlap other Linear Rings or be included in another Linear Ring (except the exterior Linear Ring).  
* Interior rings and the exterior ring may touch each other in a finite number of points. The inner area  of the polygon has to be connected.  
   
<table width="900px"  border="0" cellspacing="0">
 
<table width="900px"  border="0" cellspacing="0">
 
   <tr align="left" valign="top">
 
   <tr align="left" valign="top">
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   </tr>
 
   </tr>
 
</table>
 
</table>
* Die inneren Ringe und der äußere Ring dürfen sich paarweise in '''endlich !!!!! (evtl. nur einer)''' vielen Punkten berühren. Dabei muss das Innere des Polygons zusammenhängend sein.
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* Interior rings and the exterior ring may touch each other in a finite number of points. The inner area of the polygon has to be connected.
 
  <table width="900px"  border="0" cellspacing="0">
 
  <table width="900px"  border="0" cellspacing="0">
 
   <tr align="left" valign="top">
 
   <tr align="left" valign="top">

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