{
 "cells": [
  {
   "cell_type": "markdown",
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   "source": [
    "## Predefined Geometric Algebras"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`clifford` provides several predefined  algebras,  \n",
    "\n",
    "* `g2` : 2D Euclidean \n",
    "* `g3` : 3D Euclidean \n",
    "* `g4` : 4D Euclidean \n",
    "* `g2c` : Conformal space for G2 (G3,1)\n",
    "* `g3c` : Conformal space for G3 (G4,1)\n",
    "\n",
    "You can use them like so"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from clifford import g2\n",
    "\n",
    "g2.e1*g2.e2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The `layout` and `blades` are also available, "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "g2.layout"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "g2.blades"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Or, specifically import  the blades you need for your app"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from clifford.g2 import e1,e2,e12\n",
    "e1*e2==e12"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": []
  }
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