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Built on top of [Three.js][three-url] and\n[ShaderGraph][shadergraph-url] it provides a clean API to visualize mathematical\nrelationships and animate them declaratively.\n\nFor background, see the [article series on\nAcko.net](http://acko.net/blog/mathbox2/).\n\n**Presentations**:\n\n- [The Pixel Factory](http://acko.net/files/gltalks/pixelfactory/online.html#0)\n\n**Demos**:\n\n- [Audio Visualizer](https://mathbox.org/demo/audio-visualizer.html) ([code](https://github.com/unconed/mathbox/blob/master/examples/demo/audio-visualizer.html))\n- [Cylindrical Stream](https://mathbox.org/demo/cylindrical-stream.html) ([code](https://github.com/unconed/mathbox/blob/master/examples/demo/cylindrical-stream.html))\n- [Data/Shape Mapping](https://mathbox.org/demo/shapes.html) ([code](https://github.com/unconed/mathbox/blob/master/examples/demo/shapes.html))\n- [LaTeX/HTML/GL Labels](https://mathbox.org/demo/labels.html) ([code](https://github.com/unconed/mathbox/blob/master/examples/demo/labels.html))\n- [Quaternion Hypersphere](https://mathbox.org/math/quat.html) ([code](https://github.com/unconed/mathbox/blob/master/examples/math/quat.html))\n- [Render-to-Texture History](https://mathbox.org/test/resample2.html) ([code](https://github.com/unconed/mathbox/blob/master/examples/test/resample2.html))\n- [Vertex Warping](https://mathbox.org/test/vertex.html) ([code](https://github.com/unconed/mathbox/blob/master/examples/test/vertex.html))\n- [Volumetric Vectors](https://mathbox.org/test/volume.html) ([code](https://github.com/unconed/mathbox/blob/master/examples/test/volume.html))\n\nAnd many more at https://mathbox.org.\n\n## Installation\n\nYou can install MathBox via [npm][npm-url] for use with a bundler like\n[Webpack](https://webpack.js.org/), or include a global `MathBox` object onto\nyour page by including the library via CDN.\n\n### NPM Package\n\n- Run the following in your project's directory to install MathBox and\n  [Three.js][three-url] via [npm][npm-url]:\n\n```bash\nnpm install mathbox three\n```\n\nImport `THREE` and `MathBox` (library and stylesheet), along with a controls\ninstance that you'll pass to the `MathBox.mathBox` constructor:\n\n```js\nimport \"mathbox/mathbox.css\"\n\nimport * as THREE from \"three\"\nimport { OrbitControls } from \"three/examples/jsm/controls/OrbitControls.js\"\nimport * as MathBox from \"mathbox\"\n```\n\n### Install via CDN\n\nInclude the following in your HTML header to load all required libraries and\nstyles:\n\n```html\n<!-- Install your choice of three.js version from CDN: -->\n<script\n  type=\"text/javascript\"\n  src=\"https://cdn.jsdelivr.net/npm/three@0.137.0/build/three.min.js\"\n></script>\n\n<!-- Load a Controls instance, making sure that the version matches the Three.js version above: -->\n<script\n  type=\"text/javascript\"\n  src=\"https://cdn.jsdelivr.net/npm/three@0.137.0/examples/js/controls/OrbitControls.js\"\n></script>\n\n<!-- Install the latest MathBox, either mathbox.js or mathbos.min.js -->\n<script\n  type=\"text/javascript\"\n  src=\"https://cdn.jsdelivr.net/npm/mathbox@latest/build/bundle/mathbox.js\"\n></script>\n\n<!-- Include the MathBox CSS: -->\n<link\n  rel=\"stylesheet\"\n  href=\"https://cdn.jsdelivr.net/npm/mathbox@latest/build/mathbox.css\"\n/>\n```\n\n## Basic Usage\n\nConstruct a MathBox instance by passing initialization options to the\n`mathBox()` constructor:\n\n```js\nconst options = {\n  controls: {\n    // Orbit controls, i.e. Euler angles, with gimbal lock\n    klass: THREE.OrbitControls\n  },\n};\nconst root = MathBox.mathBox(options);\n```\n\n> **Note**\n> See [threestrap](https://github.com/unconed/threestrap) for all available\n> `options`.\n\nTo spawn inside a specific element, pass an\n[`HTMLElement`](https://developer.mozilla.org/en-US/docs/Web/API/HTMLElement)\nwith the `element` option:\n\n```js\nconst element = document.querySelector(\"#my-thing\");\n\nconst options = {\n  element: element,\n  controls: {\n    klass: THREE.OrbitControls\n  },\n};\nconst root = MathBox.mathBox(options);\n```\n\nOn initialization, `mathBox` returns a MathBox API object, wrapping the MathBox\n`<root/>`. Insert new MathBox nodes into the component tree by calling the\nmethod associated with the primitive you'd like to add.\n\n> **Note**\n> See [the Primitives doc](docs/primitives.md) for a description of all\n> primitives and their properties.\n\nThe following code will set up a 3D Cartesian coordinate system with the\nspecified range and scale for its x, y and z axes, and then insert an `x` and\n`y` axis into the scene:\n\n```js\nconst view = root\n  .cartesian({\n    range: [\n      [-2, 2],\n      [-1, 1],\n      [-1, 1],\n    ],\n    scale: [2, 1, 1],\n  })\n  .axis({\n    axis: 1,\n  })\n  .axis({\n    axis: 2,\n  });\n```\n\nUse your mouse to click and drag the camera's orientation, and zoom in and out:\n\n![2023-01-19 11 32\n59](https://user-images.githubusercontent.com/69635/213530497-22cdf2c2-bea6-4ef4-beea-fbebf73c85d4.gif)\n\nEach primitive call:\n\n- creates a new element\n- inserts it into the tree\n- returns a version of the API object with its selection focused on the new element.\n\nCalling `print()` on some selection will print a representation to the console\nof the selection and any children. For example, `view.print()` prints the\nfollowing:\n\n```jsx\n<cartesian\n  range={[\n    [-2, 2],\n    [-1, 1],\n    [-1, 1],\n  ]}\n  scale={[2, 1, 1]}\n>\n  <axis axis={1} />\n  <axis axis={2} />\n</cartesian>\n```\n\nSelect objects using `.select()` and a CSS-like selector to get a jQuery-like\nselection:\n\n```javascript\nroot.select(\"cartesian > axis\");\n```\n\nNext, visit the [Quick Start](docs/intro.md) page for a more involved example\nthat builds up an animating, interactive mathematical graph with labeled axes.\n\n## Docs & Help\n\nFor help, see the following resources:\n\n- [Glossary](docs/glossary.md) of terms to help get familiar with MathBox and WebGL.\n- [MathBox API](docs/api.md) for typical usage.\n- [List of Primitives](docs/primitives.md) for a full element reference.\n- [Writing Custom Shaders](docs/shaders.md) for info on custom shaders and GPU-side processing.\n- [Context API](docs/context.md) for advanced usage.\n\nFor more involved questions, or just to say hi, please join us in the [MathBox\nGoogle Group][google-group-url].\n\n## Related Projects\n\n- [threestrap](https://github.com/unconed/threestrap) - Three.js bootstrapper\n- [shadergraph][shadergraph-url] - Functional GLSL linker\n- [MathBox-react](https://github.com/christopherChudzicki/mathbox-react) - React bindings for MathBox\n- [MathBox.cljs](https://github.com/mentat-collective/mathbox.cljs) - ClojureScript bindings for MathBox via MathBox-react\n\n## Who's using MathBox?\n\n- [Math3D online graphing calculator](https://www.math3d.org/)\n- [KineticGraphs JS Engine](https://kineticgraphs.org/) ([code](https://github.com/cmakler/kgjs))\n- [Textbook: \"Interactive Linear Algebra\"\"](https://textbooks.math.gatech.edu/ila/) ([code](https://github.com/QBobWatson/ila))\n- Many visualizations at [Sam Zhang's homepage](https://sam.zhang.fyi/#projects)\n- Jesse Bettencourt's [Torus Knot Fibration](http://jessebett.com/TorusKnotFibration/) Master's project ([code](https://github.com/jessebett/TorusKnotFibration))\n- [Interactive knot visualizations](https://rockey-math.github.io/mathbox/graph3d-curve)\n\nAnd the many demos listed on [this\nthread](https://groups.google.com/g/mathbox/c/Uvyb5fHaLq4) of the [MathBox\nGoogle group][google-group-url].\n\n## License\n\n[MIT License](LICENSE.md).\n\nMathBox and ShaderGraph (c) Steven Wittens 2013-2023.\n\nLibraries and 3rd party shaders (c) their respective authors.\n\n[npm]: https://img.shields.io/npm/v/mathbox\n[npm-url]: https://npmjs.com/package/mathbox\n[build-size]: https://badgen.net/bundlephobia/minzip/mathbox\n[build-size-url]: https://bundlephobia.com/result?p=mathbox\n[build-status]: https://github.com/unconed/mathbox/actions/workflows/tests.yaml/badge.svg?branch=master\n[build-status-url]: https://github.com/unconed/mathbox/actions/workflows/tests.yaml\n[license]: https://img.shields.io/badge/license-MIT-brightgreen.svg\n[license-url]: LICENSE.md\n[google-group-url]: https://groups.google.com/forum/#!forum/mathbox\n[three-url]: https://threejs.org/\n[shadergraph-url]: https://github.com/unconed/shadergraph\n","maintainers":[{"name":"cchudzicki","email":"cchudzickinpm@gmail.com"},{"name":"sritchie","email":"sritchie09@gmail.com"}],"time":{"modified":"2023-05-05T10:30:47.827Z","created":"2016-06-26T04:47:03.078Z","0.0.2":"2016-06-26T04:47:03.078Z","0.0.3":"2016-06-26T13:01:15.209Z","0.0.4":"2016-06-26T13:10:43.268Z","0.0.5":"2016-06-26T15:07:56.538Z","0.1.0":"2016-06-28T10:23:02.458Z","2.0.0":"2022-02-17T17:38:26.207Z","2.1.0":"2022-02-17T19:51:00.259Z","2.1.1-dev":"2022-02-22T18:46:05.649Z","2.1.1-dev-bundle":"2022-02-22T20:49:51.787Z","2.1.1-dev-bundle2":"2022-02-22T21:06:02.526Z","2.1.2-dev":"2022-03-28T22:11:24.463Z","2.1.2":"2022-03-28T22:22:47.259Z","2.1.3":"2022-04-05T01:30:00.405Z","2.1.4":"2022-04-14T12:23:31.172Z","2.2.0":"2022-04-24T14:11:51.251Z","2.2.1":"2022-12-18T23:39:05.693Z","2.3.0":"2023-01-12T12:27:46.196Z","2.3.1-rc1":"2023-01-17T00:38:41.533Z","2.3.1-rc2":"2023-01-18T01:58:05.751Z","2.3.1":"2023-01-18T02:08:24.212Z","2.3.2-rc1":"2023-05-05T10:30:47.660Z"},"repository":{"type":"git","url":"git+https://github.com/unconed/mathbox.git"},"author":{"name":"Steven Wittens"},"license":"MIT","readmeFilename":"README.md","keywords":["mathbox","threejs","visualizations","mathematics","webgl"],"homepage":"https://github.com/unconed/mathbox#readme","bugs":{"url":"https://github.com/unconed/mathbox/issues"}}