291 lines
8.3 KiB
HTML
291 lines
8.3 KiB
HTML
<!DOCTYPE html>
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<html lang="en">
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<head>
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<title>3D intersection sampler</title>
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<meta charset="UTF-8" />
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<link rel="stylesheet" type="text/css" href="https://cdn.jsdelivr.net/npm/jsxgraph/distrib/jsxgraph.css" />
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<script type="text/javascript" charset="UTF-8" src="https://cdn.jsdelivr.net/npm/jsxgraph/distrib/jsxgraphcore.js"></script>
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</head>
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<body>
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<a href="../">↩ Back to index</a>
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<h1>3D intersection sampler</h1>
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<!-- plane-plane -->
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<h2>Plane–plane</h2>
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<p>This template is based on the <a href="https://github.com/jsxgraph/jsxgraph/blob/main/examples/intersection_plane_plane.html">plane–plane intersection example</a> in the <a href="https://github.com/jsxgraph/jsxgraph/tree/main/examples">examples folder</a> included with the source code.</p>
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<div id="plane-plane-board" class="jxgbox" style="width:600px; height:600px"></div>
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<script type="text/javascript">
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// to prevent variable name conflicts, we define variables locally using `let`
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// and put the code for each board in its own block
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{
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// create a JSXGraph board and draw a 3D view on it
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let board = JXG.JSXGraph.initBoard(
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'plane-plane-board',
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{
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boundingbox: [-8, 8, 8,-8],
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axis: false,
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showCopyright: false,
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showNavigation: false
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}
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);
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let view = board.create(
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'view3d',
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[[-4.5, -4.5], [9, 9],
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[[0, 3], [0, 3], [0, 3]]],
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{
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xPlaneRear: {fillOpacity: 0.2, gradient: null},
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yPlaneRear: {fillOpacity: 0.2, gradient: null},
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zPlaneRear: {fillOpacity: 0.2, gradient: null}
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}
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);
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// create a point and two planes passing though it
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let basePoint = view.create(
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'point3d',
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[1, 1, 1],
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{
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withLabel: false,
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strokeWidth: 1,
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size: 5,
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strokeColor: '#300060',
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fillColor: 'white',
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gradientSecondColor: '#5000a0',
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highlightStrokeColor: '#300060'
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}
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);
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let planeHoriz = view.create(
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'plane3d',
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[basePoint, [1, 0, 0], [0, 1, 0]],
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{
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strokeWidth: 1,
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strokeColor: '#0000ff',
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strokeOpacity: 0.5,
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fillColor: '#0000ff',
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fillOpacity: 0.1,
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gradient: null
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}
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);
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let planeSloped = view.create(
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'plane3d',
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[basePoint, [-2, 1, 1], [1, -2, 1]],
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{
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strokeWidth: 1,
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strokeColor: '#00ff80',
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strokeOpacity: 0.5,
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fillColor: '#00ff80',
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fillOpacity: 0.1,
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gradient: null
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}
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);
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// create the line where the two planes intersect
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let intersectionLine = view.create(
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'intersectionline3d',
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[planeHoriz, planeSloped],
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{
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strokeOpacity: 0.5,
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highlightStrokeColor: 'black',
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highlightStrokeOpacity: 0.5
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}
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);
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}
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</script>
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<!-- plane-sphere -->
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<h2>Plane–sphere</h2>
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<p>This template is based on the <a href="https://github.com/jsxgraph/jsxgraph/blob/main/examples/intersection_plane_sphere.html">plane–sphere intersection example</a> in the <a href="https://github.com/jsxgraph/jsxgraph/tree/main/examples">examples folder</a> included with the source code.</p>
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<div id="plane-sphere-board" class="jxgbox" style="width:600px; height:600px"></div>
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<script type="text/javascript">
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// to prevent variable name conflicts, we define variables locally using `let`
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// and put the code for each board in its own block
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{
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// create a JSXGraph board and draw a 3D view on it
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let board = JXG.JSXGraph.initBoard(
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'plane-sphere-board',
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{
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boundingbox: [-8, 8, 8,-8],
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axis: false,
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showCopyright: false,
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showNavigation: false
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}
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);
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let view = board.create(
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'view3d',
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[[-4.5, -4.5], [9, 9],
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[[0, 3], [0, 3], [0, 3]]],
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{
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xPlaneRear: {fillOpacity: 0.2, gradient: null},
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yPlaneRear: {fillOpacity: 0.2, gradient: null},
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zPlaneRear: {fillOpacity: 0.2, gradient: null}
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}
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);
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// create a plane
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let basePoint = view.create(
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'point3d',
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[4/3, 4/3, 4/3],
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{
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withLabel: false,
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strokeWidth: 1,
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size: 5,
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strokeColor: '#300060',
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fillColor: 'white',
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gradientSecondColor: '#5000a0',
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highlightStrokeColor: '#300060'
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}
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);
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let plane = view.create(
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'plane3d',
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[basePoint, [-2, 1, 1], [1, -2, 1]],
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{
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strokeWidth: 1,
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strokeColor: '#00ff80',
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strokeOpacity: 0.5,
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fillColor: '#00ff80',
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fillOpacity: 0.1,
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gradient: null
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}
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);
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// create a sphere
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let center = view.create(
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'point3d',
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[1.5, 1.5, 1.5],
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{
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withLabel: false,
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size: 5,
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strokeWidth: 1,
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strokeColor: '#600030',
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fillColor: 'white',
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gradientSecondColor: '#a00050',
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highlightStrokeColor: '#600030'
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}
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);
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let sphere = view.create(
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'sphere3d',
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[center, 1],
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{
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strokeColor: '#0000ff',
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strokeOpacity: 0.5,
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gradient: 'radial',
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gradientSecondColor: '#0000ff',
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fillOpacity: 0.2,
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}
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);
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// create the circle where the plane and the sphere intersect
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let ixnCircle = view.create(
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'intersectioncircle3d',
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[plane, sphere],
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{
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strokeColor: 'black',
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strokeOpacity: 0.5
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}
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);
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}
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</script>
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<!-- sphere-sphere -->
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<h2>Sphere–sphere</h2>
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<p>This template is based on the <a href="https://github.com/jsxgraph/jsxgraph/blob/main/examples/intersection_sphere_sphere.html">sphere–sphere intersection example</a> in the <a href="https://github.com/jsxgraph/jsxgraph/tree/main/examples">examples folder</a> included with the source code.</p>
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<div id="sphere-sphere-board" class="jxgbox" style="width:600px; height:600px"></div>
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<script type="text/javascript">
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// to prevent variable name conflicts, we define variables locally using `let`
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// and put the code for each board in its own block
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{
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// create a JSXGraph board and draw a 3D view on it
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let board = JXG.JSXGraph.initBoard(
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'sphere-sphere-board',
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{
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boundingbox: [-8, 8, 8,-8],
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axis: false,
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showCopyright: false,
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showNavigation: false
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}
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);
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let view = board.create(
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'view3d',
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[[-4.5, -4.5], [9, 9],
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[[0, 3], [0, 3], [0, 3]]],
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{
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xPlaneRear: {fillOpacity: 0.2, gradient: null},
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yPlaneRear: {fillOpacity: 0.2, gradient: null},
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zPlaneRear: {fillOpacity: 0.2, gradient: null}
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}
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);
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// create two centers
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let center1 = view.create(
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'point3d',
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[1, 1.5, 1.5],
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{
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withLabel: false,
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size: 5,
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strokeWidth: 1,
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strokeColor: '#600030',
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fillColor: 'white',
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gradientSecondColor: '#a00050',
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highlightStrokeColor: '#600030'
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}
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);
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let center2 = view.create(
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'point3d',
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[2, 1.5, 1.5],
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{
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withLabel: false,
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size: 5,
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strokeWidth: 1,
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strokeColor: '#600030',
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fillColor: 'white',
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gradientSecondColor: '#a00050',
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highlightStrokeColor: '#600030'
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}
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);
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// create two spheres
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let sphere1 = view.create(
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'sphere3d',
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[center1, 0.75],
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{
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strokeColor: '#0000ff',
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strokeOpacity: 0.5,
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fillColor: 'white',
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fillOpacity: 0.2,
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gradientSecondColor: '#0000ff'
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}
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);
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let sphere2 = view.create(
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'sphere3d',
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[center2, 0.75],
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{
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strokeColor: '#00ff80',
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strokeOpacity: 0.5,
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fillColor: 'white',
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fillOpacity: 0.2,
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gradientSecondColor: '#00ff80'
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}
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);
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// create the circle where the spheres intersect
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let ixnCircle = view.create(
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'intersectioncircle3d',
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[sphere1, sphere2],
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{
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strokeColor: 'black',
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strokeOpacity: 0.5
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}
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);
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}
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</script>
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</body>
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</html>
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