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3D parametric surface with type 'shader'
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<iframe 
    src="https://jsxgraph.org/share/iframe/3d-parametric-surface-with-type-shader" 
    style="border: 1px solid black; overflow: hidden; width: 550px; aspect-ratio: 55 / 65;" 
    name="JSXGraph example: 3D parametric surface with type 'shader'" 
    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';

    var board = JXG.JSXGraph.initBoard(BOARDID, {
        boundingbox: [-8, 8, 8, -8],
        keepaspectratio: true,
        axis: false,
        zoom: { enabled: true },
        pan: { enabled: false }
    });
    
    var view = board.create('view3d',
    		    [
    		        [-6, -3], [8, 8],
    		        [[-5, 5], [-5, 5], [-5, 5]]
    		    ],
        {
            projection: 'central',
            axesPosition: 'center'
        });
    
    var b = 1;
    var c = view.create('parametricsurface3d', [
    		            (u, v) => b * (1 - Math.sin(u)) * Math.cos(u) + (2 - Math.cos(u)) * Math.cos(v)
    		                *
        (2 * Math.exp(-Math.pow(u / 2 - Math.PI, 2)) - 1),
    		            (u, v) => (2 - Math.cos(u)) * Math.sin(v),
    		            (u, v) => 4 * Math.sin(u) + 0.5 * (2 - Math.cos(u)) * Math.sin(u) * Math.cos(v) *
    		                Math.exp(-Math.pow(u - 3 * Math.PI / 2, 2)),
    		            [0, 2 * Math.PI],
    		            [0, 2 * Math.PI],
    		        ], {
    
        type: 'shader', // 'wireframe', 'shader', 'colormap', 'colorarray'
        tiling: 'rectangle', // 'triangle', 'rectangle',
        stepsU: 16,
        stepsV: 25,
    
        polyhedron: {
            fillOpacity: 0.7,
    
            // shader: {
            //   fixed: true,    // If false, update shading during rotation of viewport
            //   type: 'angle',  // 'angle', otherwise zIndex
            //   hue: 60, // yellow
            //   saturation: 90,
            //   minLightness: 30,
            //   maxLightness: 90,
            //   light: {
            //     type: 1, // 1: lighting==camera,
            //              2: Fixed: angle(light, object),
            //              3: Fixed: angle(light, camera) (default)
            //              az: -45, // ignored for type==1
            //              el: 20, // ignored for type==1
            //              bank: 0, // ignored for type==1, type==3
            //              dir: -1 // -1, 0 (use abs), 1: Default: -1
            // }
            shader: {
                fixed: true,
                type: 'angle',
                hue: 20,
                saturation: 90,
                minlightness: 50,
                maxLightness: 80,
                light: { dir: 1 }
            }
        }
    });
 </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!

var board = JXG.JSXGraph.initBoard(BOARDID, {
    boundingbox: [-8, 8, 8, -8],
    keepaspectratio: true,
    axis: false,
    zoom: { enabled: true },
    pan: { enabled: false }
});

var view = board.create('view3d',
		    [
		        [-6, -3], [8, 8],
		        [[-5, 5], [-5, 5], [-5, 5]]
		    ],
    {
        projection: 'central',
        axesPosition: 'center'
    });

var b = 1;
var c = view.create('parametricsurface3d', [
		            (u, v) => b * (1 - Math.sin(u)) * Math.cos(u) + (2 - Math.cos(u)) * Math.cos(v)
		                *
    (2 * Math.exp(-Math.pow(u / 2 - Math.PI, 2)) - 1),
		            (u, v) => (2 - Math.cos(u)) * Math.sin(v),
		            (u, v) => 4 * Math.sin(u) + 0.5 * (2 - Math.cos(u)) * Math.sin(u) * Math.cos(v) *
		                Math.exp(-Math.pow(u - 3 * Math.PI / 2, 2)),
		            [0, 2 * Math.PI],
		            [0, 2 * Math.PI],
		        ], {

    type: 'shader', // 'wireframe', 'shader', 'colormap', 'colorarray'
    tiling: 'rectangle', // 'triangle', 'rectangle',
    stepsU: 16,
    stepsV: 25,

    polyhedron: {
        fillOpacity: 0.7,

        // shader: {
        //   fixed: true,    // If false, update shading during rotation of viewport
        //   type: 'angle',  // 'angle', otherwise zIndex
        //   hue: 60, // yellow
        //   saturation: 90,
        //   minLightness: 30,
        //   maxLightness: 90,
        //   light: {
        //     type: 1, // 1: lighting==camera,
        //              2: Fixed: angle(light, object),
        //              3: Fixed: angle(light, camera) (default)
        //              az: -45, // ignored for type==1
        //              el: 20, // ignored for type==1
        //              bank: 0, // ignored for type==1, type==3
        //              dir: -1 // -1, 0 (use abs), 1: Default: -1
        // }
        shader: {
            fixed: true,
            type: 'angle',
            hue: 20,
            saturation: 90,
            minlightness: 50,
            maxLightness: 80,
            light: { dir: 1 }
        }
    }
});
<jsxgraph width="100%" aspect-ratio="1 / 1" title="3D parametric surface with type 'shader'" 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.
   */
   
   var board = JXG.JSXGraph.initBoard(BOARDID, {
       boundingbox: [-8, 8, 8, -8],
       keepaspectratio: true,
       axis: false,
       zoom: { enabled: true },
       pan: { enabled: false }
   });
   
   var view = board.create('view3d',
   		    [
   		        [-6, -3], [8, 8],
   		        [[-5, 5], [-5, 5], [-5, 5]]
   		    ],
       {
           projection: 'central',
           axesPosition: 'center'
       });
   
   var b = 1;
   var c = view.create('parametricsurface3d', [
   		            (u, v) => b * (1 - Math.sin(u)) * Math.cos(u) + (2 - Math.cos(u)) * Math.cos(v)
   		                *
       (2 * Math.exp(-Math.pow(u / 2 - Math.PI, 2)) - 1),
   		            (u, v) => (2 - Math.cos(u)) * Math.sin(v),
   		            (u, v) => 4 * Math.sin(u) + 0.5 * (2 - Math.cos(u)) * Math.sin(u) * Math.cos(v) *
   		                Math.exp(-Math.pow(u - 3 * Math.PI / 2, 2)),
   		            [0, 2 * Math.PI],
   		            [0, 2 * Math.PI],
   		        ], {
   
       type: 'shader', // 'wireframe', 'shader', 'colormap', 'colorarray'
       tiling: 'rectangle', // 'triangle', 'rectangle',
       stepsU: 16,
       stepsV: 25,
   
       polyhedron: {
           fillOpacity: 0.7,
   
           // shader: {
           //   fixed: true,    // If false, update shading during rotation of viewport
           //   type: 'angle',  // 'angle', otherwise zIndex
           //   hue: 60, // yellow
           //   saturation: 90,
           //   minLightness: 30,
           //   maxLightness: 90,
           //   light: {
           //     type: 1, // 1: lighting==camera,
           //              2: Fixed: angle(light, object),
           //              3: Fixed: angle(light, camera) (default)
           //              az: -45, // ignored for type==1
           //              el: 20, // ignored for type==1
           //              bank: 0, // ignored for type==1, type==3
           //              dir: -1 // -1, 0 (use abs), 1: Default: -1
           // }
           shader: {
               fixed: true,
               type: 'angle',
               hue: 20,
               saturation: 90,
               minlightness: 50,
               maxLightness: 80,
               light: { dir: 1 }
           }
       }
   });
</jsxgraph>
Possible types for representing parametric surfaces are: - `'wireframe'`, - `'shader'`, - `'colormap'`, - `'colorarray'` Here is the "Klein bottle" as an example for 'shader'. Internally, the shader is realized with a polyhedron3d element. The visual attributes are set inside of the polyhedron sub-attribute.
// Define the id of your board in BOARDID

var board = JXG.JSXGraph.initBoard(BOARDID, {
    boundingbox: [-8, 8, 8, -8],
    keepaspectratio: true,
    axis: false,
    zoom: { enabled: true },
    pan: { enabled: false }
});

var view = board.create('view3d',
		    [
		        [-6, -3], [8, 8],
		        [[-5, 5], [-5, 5], [-5, 5]]
		    ],
    {
        projection: 'central',
        axesPosition: 'center'
    });

var b = 1;
var c = view.create('parametricsurface3d', [
		            (u, v) => b * (1 - Math.sin(u)) * Math.cos(u) + (2 - Math.cos(u)) * Math.cos(v)
		                *
    (2 * Math.exp(-Math.pow(u / 2 - Math.PI, 2)) - 1),
		            (u, v) => (2 - Math.cos(u)) * Math.sin(v),
		            (u, v) => 4 * Math.sin(u) + 0.5 * (2 - Math.cos(u)) * Math.sin(u) * Math.cos(v) *
		                Math.exp(-Math.pow(u - 3 * Math.PI / 2, 2)),
		            [0, 2 * Math.PI],
		            [0, 2 * Math.PI],
		        ], {

    type: 'shader', // 'wireframe', 'shader', 'colormap', 'colorarray'
    tiling: 'rectangle', // 'triangle', 'rectangle',
    stepsU: 16,
    stepsV: 25,

    polyhedron: {
        fillOpacity: 0.7,

        // shader: {
        //   fixed: true,    // If false, update shading during rotation of viewport
        //   type: 'angle',  // 'angle', otherwise zIndex
        //   hue: 60, // yellow
        //   saturation: 90,
        //   minLightness: 30,
        //   maxLightness: 90,
        //   light: {
        //     type: 1, // 1: lighting==camera,
        //              2: Fixed: angle(light, object),
        //              3: Fixed: angle(light, camera) (default)
        //              az: -45, // ignored for type==1
        //              el: 20, // ignored for type==1
        //              bank: 0, // ignored for type==1, type==3
        //              dir: -1 // -1, 0 (use abs), 1: Default: -1
        // }
        shader: {
            fixed: true,
            type: 'angle',
            hue: 20,
            saturation: 90,
            minlightness: 50,
            maxLightness: 80,
            light: { dir: 1 }
        }
    }
});

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.