JSXGraph
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HSL color scheme
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<iframe 
    src="http://jsxgraph.org/share/iframe/hsl-color-scheme" 
    style="border: 1px solid black; overflow: hidden; width: 550px; aspect-ratio: 55 / 65;" 
    name="JSXGraph example: HSL color scheme" 
    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 ShareAlike 4.0 International License.
    https://creativecommons.org/licenses/by-sa/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],
          axis: true,
          showClearTraces: true
    });
    
    board.create('point', [6, 3], {
        withLabel: false,
        size:10,
        highlight: false,
        color: (self) => `hsl( ${ Math.atan2(self.Y(), self.X()) * 180 / Math.PI} 95% 60%)`,
        trace: true
    });
    
 </script> 
/*
This example is licensed under a 
Creative Commons Attribution ShareAlike 4.0 International License.
https://creativecommons.org/licenses/by-sa/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],
      axis: true,
      showClearTraces: true
});

board.create('point', [6, 3], {
    withLabel: false,
    size:10,
    highlight: false,
    color: (self) => `hsl( ${ Math.atan2(self.Y(), self.X()) * 180 / Math.PI} 95% 60%)`,
    trace: true
});

<jsxgraph width="100%" aspect-ratio="1 / 1" title="HSL color scheme" 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 ShareAlike 4.0 International License.
   https://creativecommons.org/licenses/by-sa/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],
         axis: true,
         showClearTraces: true
   });
   
   board.create('point', [6, 3], {
       withLabel: false,
       size:10,
       highlight: false,
       color: (self) => `hsl( ${ Math.atan2(self.Y(), self.X()) * 180 / Math.PI} 95% 60%)`,
       trace: true
   });
   
</jsxgraph>
Use the CSS color scheme `hsl()` to alter the color of a point depending on its position. We use the attribute `trace:true` to leave a trace of the point.
Web references 
// Define the id of your board in BOARDID

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

board.create('point', [6, 3], {
    withLabel: false,
    size:10,
    highlight: false,
    color: (self) => `hsl( ${ Math.atan2(self.Y(), self.X()) * 180 / Math.PI} 95% 60%)`,
    trace: true
});

license

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