Simple example of SVG rendering using duality example.

content/2DPGA/ex_2dpga_dual.ipynb

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+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "id": "2dc7b21b-034b-42e9-ad83-05d9605de074",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Note: you may need to restart the kernel to use updated packages.\n"
+     ]
+    }
+   ],
+   "source": [
+    "%pip install -q kingdon anywidget==0.9.9"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "ebb1e69c-7bb1-4eeb-a6a0-dbf06c76c4d4",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import numpy as np\n",
+    "from kingdon import Algebra\n",
+    "import ipywidgets"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "id": "0d34bcef-2f02-49ff-955a-87fd3d694147",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "alg = Algebra(2, 0, 1)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "id": "0ffd82d4-cfba-41e5-879e-f9ad4e284f20",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "thetas = np.linspace(0, 2 * np.pi, 3, endpoint=False)\n",
+    "x = np.cos(thetas)\n",
+    "y = np.sin(thetas)\n",
+    "w = np.ones_like(x)\n",
+    "lines = alg.vector(e0=w, e1=x, e2=y)\n",
+    "points = lines.dual()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "id": "9a395761-71f5-4854-aaf0-b675d922f3d0",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "616331cc426249d58f6f94665ec8daf0",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "VBox(children=(FloatSlider(value=0.0, max=1.0), GraphWidget(cayley=[['1', 'e0', 'e1', 'e2', 'e01', 'e02', 'e12…"
+      ]
+     },
+     "execution_count": 5,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "def graph_func():\n",
+    "    return [\n",
+    "        f'<G fill-opacity={str(1.0 - slider.value)}>',\n",
+    "        points,\n",
+    "        '</G>',\n",
+    "        f'<G stroke-opacity={slider.value}>',\n",
+    "        lines,\n",
+    "        '</G>',\n",
+    "    ]\n",
+    "\n",
+    "slider = ipywidgets.FloatSlider(\n",
+    "    value=0.0,\n",
+    "    min=0.0,\n",
+    "    max=1.0,\n",
+    "    continuous_update=True,\n",
+    ")\n",
+    "\n",
+    "graph = alg.graph(\n",
+    "    graph_func,\n",
+    "    animate=True,\n",
+    "    width='100%',\n",
+    "    scale=0.5,\n",
+    "    lineWidth=6,\n",
+    ")\n",
+    "\n",
+    "ipywidgets.VBox([slider, graph])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "bfac1ff2-0180-40b4-ac7e-2b63834811ca",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3 (ipykernel)",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.10.14"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}