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davinci-newton\nA Physics Engine for research and education using Geometric Algebra, and Units of Measure (optional).\n\nThe following metrics are supported:\n\n<table>\n    <tr>\n        <th>Description</th><th>Algebra</th><th>class</th>\n    </tr>\n    <tr>\n        <td>Euclidean 1D</td><td>G(1,0)</td><td>Engine1</td>\n    </tr>\n    <tr>\n        <td>Euclidean 2D</td><td>G(2,0)</td><td>Engine2</td>\n    </tr>\n    <tr>\n        <td>Euclidean 3D</td><td>G(3,0)</td><td>Engine3</td>\n    </tr>\n    <tr>\n        <td>Spacetime 1D</td><td>G(1,1)</td><td>EngineG11</td>\n    </tr>\n    <tr>\n        <td>Spacetime 2D</td><td>G(2,1)</td><td>EngineG21</td>\n    </tr>\n</table>\n\n# Getting Started\n\nThe following code illustrates the basic flow. For working examples see [STEMCstudio](https://www.stemcstudio.com/examples).\n\n## Constructing the core simulation using the `Engine3` Euclidean 3D or G(3,0) Physics engine.\n\nThis example incorporates units of measure.\n\n```typescript\nimport {\n    Block3,\n    Engine3,\n    Geometric3,\n    Spring\n} from 'davinci-newton'\n\n//\n// Constants\n//\nconst e1 = Geometric3.e1\nconst e2 = Geometric3.e2\nconst e3 = Geometric3.e3\nconst kg = Geometric3.kilogram\nconst m = Geometric3.meter\nconst s = Geometric3.second\n\n//\n// Initialization\n//\nconst sim = new Engine3()\nconst Δt = 0.01 * s\n\n//\n// Add objects\n//\nconst width = 0.5 * m\nconst height = 0.1 * m\nconst depth = 0.5 * m\nconst block1 = new Block3(width, height, depth)\nconst block2 = new Block3(width, height, depth)\n\nblock1.M = 1 * kg\nblock2.M = 1 * kg\n\nblock1.X = -1.0 * e1 * m\nblock2.X = +1.0 * e1 * m\n\nsim.addBody(block1)\nsim.addBody(block2)\n\n//\n// Add forces\n//\nconst spring = new Spring(block1, block2)\nspring.restLength = 1 * m\nspring.stiffness = 1 * kg / (s * s)\nsim.addForceLaw(spring)\nspring.attach1 = (block1.width * e1 + 0 * block1.height * e2 + block1.depth * e3) / 2\n\n// Inside animation \"loop\"\nsim.advance(Δt.a, Δt.uom)\n```\n","maintainers":[{"name":"geometryzen","email":"david.geo.holmes@gmail.com"}],"time":{"modified":"2024-04-03T11:08:31.860Z","created":"2017-04-21T13:56:55.689Z","0.0.38":"2017-04-21T13:56:55.689Z","0.0.39":"2017-04-23T18:58:00.972Z","0.0.40":"2017-04-23T19:57:43.723Z","0.0.42":"2017-05-17T15:09:03.390Z","0.0.43":"2017-05-19T19:42:12.087Z","0.0.44":"2020-07-08T20:40:13.619Z","1.0.0":"2020-10-05T14:09:10.404Z","1.0.1":"2021-03-05T15:35:10.593Z","1.0.2":"2021-03-05T15:54:40.169Z","1.0.3":"2021-03-05T16:36:19.368Z","1.0.4":"2021-03-05T17:07:29.341Z","1.0.5":"2021-03-05T17:22:47.625Z","1.0.6":"2021-03-05T18:10:58.575Z","1.0.7":"2021-03-05T18:23:06.590Z","1.0.8":"2021-03-05T20:09:58.298Z","1.0.9":"2021-03-05T20:55:07.466Z","1.0.10":"2021-03-05T21:40:58.930Z","1.0.11":"2021-03-06T17:35:06.944Z","1.0.12":"2021-03-06T20:25:53.136Z","1.0.13":"2021-03-06T23:53:38.244Z","1.0.14":"2021-03-07T15:52:34.659Z","1.0.15":"2021-03-07T17:58:41.294Z","1.0.16":"2021-03-08T02:26:22.641Z","1.0.17":"2021-03-08T03:04:03.571Z","1.0.18":"2021-03-08T18:26:35.854Z","1.0.19":"2021-03-08T21:51:18.610Z","1.0.20":"2021-03-08T22:02:12.686Z","1.0.21":"2021-03-09T23:25:01.563Z","1.0.22":"2021-03-10T05:13:36.708Z","1.0.23":"2021-03-10T15:19:02.487Z","1.0.24":"2021-03-10T20:42:49.965Z","1.0.25":"2021-03-10T23:34:16.584Z","1.0.26":"2021-03-11T03:34:07.035Z","1.0.27":"2021-03-11T04:08:31.884Z","1.0.28":"2021-03-12T03:43:01.931Z","1.0.29":"2021-03-12T05:15:37.686Z","1.0.30":"2021-03-12T05:21:28.888Z","1.0.31":"2021-03-12T21:51:14.919Z","1.0.32":"2021-03-13T01:50:04.058Z","1.0.33":"2021-03-13T02:23:26.106Z","1.0.34":"2021-03-13T02:47:48.177Z","1.0.35":"2021-03-13T16:48:22.815Z","1.0.36":"2021-03-13T17:08:48.774Z","1.0.37":"2021-03-13T21:37:24.704Z","1.0.38":"2021-03-13T22:36:02.436Z","1.0.39":"2021-03-13T23:41:11.740Z","1.0.40":"2021-03-14T17:08:57.319Z","1.0.41":"2021-03-15T15:43:00.515Z","1.0.42":"2021-03-15T15:48:14.079Z","1.0.43":"2021-03-15T15:53:24.425Z","1.0.44":"2021-03-15T16:01:31.129Z","1.0.46":"2021-03-15T19:24:48.569Z","1.0.47":"2021-03-15T19:58:31.992Z","1.0.48":"2021-03-15T21:12:16.695Z","1.0.49":"2021-03-15T22:17:11.302Z","1.0.50":"2021-03-15T23:29:48.713Z","1.0.51":"2021-03-17T02:51:02.778Z","1.0.52":"2021-03-17T17:17:59.339Z","1.0.53":"2021-03-17T22:50:45.672Z","1.0.54":"2021-03-18T19:04:48.828Z","1.0.55":"2021-03-18T21:27:44.166Z","1.0.56":"2021-03-18T21:50:03.977Z","1.0.57":"2021-03-18T22:15:09.276Z","1.0.58":"2021-03-19T01:17:49.327Z","1.0.59":"2021-03-19T21:57:30.760Z","1.0.60":"2021-03-20T18:47:43.508Z","1.0.61":"2021-03-20T19:44:31.243Z","1.0.62":"2021-03-20T22:42:35.736Z","1.0.63":"2021-03-20T23:28:19.677Z","1.0.64":"2021-03-20T23:55:04.657Z","1.0.65":"2021-03-21T02:16:56.208Z","1.0.66":"2021-03-21T02:57:49.104Z","1.0.67":"2021-03-21T03:09:11.322Z","1.0.68":"2021-03-21T20:58:50.654Z","1.0.69":"2021-03-21T21:21:05.969Z","1.0.70":"2021-03-24T19:56:25.292Z","1.0.71":"2021-03-24T20:21:49.336Z","1.0.72":"2021-03-24T20:24:23.348Z","1.0.73":"2021-03-25T00:47:44.541Z","1.0.74":"2021-03-25T01:14:31.302Z","1.0.75":"2021-03-25T17:54:54.892Z","1.0.76":"2021-03-25T18:32:38.429Z","1.0.77":"2021-03-26T01:57:38.450Z","1.0.78":"2021-04-05T16:21:25.369Z","1.0.79":"2021-04-05T17:17:40.788Z","1.0.80":"2021-04-06T00:32:30.327Z","1.0.81":"2021-04-07T19:06:52.444Z","1.0.82":"2021-04-08T03:56:11.755Z","1.0.83":"2021-04-08T16:47:20.975Z","1.0.84":"2021-04-09T03:16:06.767Z","1.0.85":"2021-04-10T21:09:44.282Z","1.0.86":"2021-04-11T03:27:13.046Z","1.0.87":"2021-04-11T16:39:35.377Z","1.0.88":"2021-04-12T20:24:09.686Z","1.0.89":"2021-04-13T03:08:29.638Z","1.0.90":"2021-04-13T21:02:19.730Z","1.0.91":"2021-04-14T00:28:46.500Z","1.0.92":"2021-04-14T14:10:32.900Z","1.0.93":"2021-04-14T15:32:21.813Z","1.0.94":"2021-04-14T22:09:50.468Z","1.0.95":"2021-04-14T22:57:55.202Z","1.0.96":"2021-04-15T11:23:47.143Z","1.0.97":"2021-04-26T00:37:17.890Z","1.0.98":"2021-04-26T00:44:47.868Z","1.0.99":"2021-04-28T16:54:47.253Z","1.0.100":"2021-05-11T01:24:07.471Z","1.0.101":"2021-05-12T14:14:38.847Z","1.0.102":"2022-09-17T14:20:19.108Z","1.0.103":"2022-09-17T14:41:42.663Z","1.0.104":"2022-09-19T23:38:19.383Z","1.0.105":"2022-09-20T03:20:08.320Z","1.0.106":"2023-01-06T18:10:23.806Z","1.0.107":"2024-04-03T11:08:31.692Z"},"homepage":"https://github.com/geometryzen/davinci-newton#readme","keywords":["STEMCstudio","Geometric","Algebra","Physics","Engine"],"repository":{"type":"git","url":"git://github.com/geometryzen/davinci-newton.git"},"author":{"name":"David 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