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Polygon dragging
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<iframe 
    src="http://jsxgraph.uni-bayreuth.de/share/iframe/polygon-dragging" 
    style="border: 1px solid black; overflow: hidden; width: 550px; aspect-ratio: 55 / 65;" 
    name="JSXGraph example: Polygon dragging" 
    allowfullscreen
></iframe>
This code has to
<div id="board-0-wrapper" class="jxgbox-wrapper " style="width: 100%; ">
   <div id="board-0" class="jxgbox" style="aspect-ratio: 1 / 1; width: 100%;" data-ar="1 / 1"></div>
</div>

<script type = "text/javascript"> 
    /*
    This example is licensed under a 
    Creative Commons Attribution 4.0 International License.
    https://creativecommons.org/licenses/by/4.0/
    
    Please note you have to mention 
    The Center of Mobile Learning with Digital Technology
    in the credits.
    */
    
    const BOARDID = 'board-0';

     const board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox: [-10, 10, 10, -10]});
    
    // Vertices of the polygon
     var a = board.create('point', [-2, 1]);
     var b = board.create('point', [-4, -5]);
     var c = board.create('point', [3, -6]);
     var d = board.create('point', [2, 3]);
    
    // Polygon
     var p = board.create('polygon', [a, b, c, d], {hasInnerPoints: true});
 </script> 
/*
This example is licensed under a 
Creative Commons Attribution 4.0 International License.
https://creativecommons.org/licenses/by/4.0/

Please note you have to mention 
The Center of Mobile Learning with Digital Technology
in the credits.
*/

const BOARDID = 'your_div_id'; // Insert your id here!

 const board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox: [-10, 10, 10, -10]});

// Vertices of the polygon
 var a = board.create('point', [-2, 1]);
 var b = board.create('point', [-4, -5]);
 var c = board.create('point', [3, -6]);
 var d = board.create('point', [2, 3]);

// Polygon
 var p = board.create('polygon', [a, b, c, d], {hasInnerPoints: true});
<jsxgraph width="100%" aspect-ratio="1 / 1" title="Polygon dragging" description="This construction was copied from JSXGraph examples database: BTW HERE SHOULD BE A GENERATED LINKuseGlobalJS="false">
   /*
   This example is licensed under a 
   Creative Commons Attribution 4.0 International License.
   https://creativecommons.org/licenses/by/4.0/
   
   Please note you have to mention 
   The Center of Mobile Learning with Digital Technology
   in the credits.
   */
   
    const board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox: [-10, 10, 10, -10]});
   
   // Vertices of the polygon
    var a = board.create('point', [-2, 1]);
    var b = board.create('point', [-4, -5]);
    var c = board.create('point', [3, -6]);
    var d = board.create('point', [2, 3]);
   
   // Polygon
    var p = board.create('polygon', [a, b, c, d], {hasInnerPoints: true});
</jsxgraph>

Polygon dragging

With the attribute `hasInnerPoints` a polygon can be dragged around.
// Define the id of your board in BOARDID

 const board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox: [-10, 10, 10, -10]});

// Vertices of the polygon
 var a = board.create('point', [-2, 1]);
 var b = board.create('point', [-4, -5]);
 var c = board.create('point', [3, -6]);
 var d = board.create('point', [2, 3]);

// Polygon
 var p = board.create('polygon', [a, b, c, d], {hasInnerPoints: true});

license

This example is licensed under a Creative Commons Attribution 4.0 International License.
Please note you have to mention The Center of Mobile Learning with Digital Technology in the credits.