diff --git a/navipy/arenatools/__init__.py b/navipy/arenatools/__init__.py
new file mode 100644
index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391
diff --git a/navipy/resources/corridor.blend b/navipy/resources/corridor.blend
index 1e3ac247fb14e64309e4afdeb9d89be836136a4f..d2f6b92b45e91139011f96155751bc1b298860ff 100644
Binary files a/navipy/resources/corridor.blend and b/navipy/resources/corridor.blend differ
diff --git a/tutorials/01-building-arena.ipynb b/tutorials/01-building-arena.ipynb
new file mode 100644
index 0000000000000000000000000000000000000000..28ca78109ea2884b0459d566111a230ed9f2395a
--- /dev/null
+++ b/tutorials/01-building-arena.ipynb
@@ -0,0 +1,111 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Building an arena\n",
+    "\n",
+    "## Check list. \n",
+    "\n",
+    "1. Design of the arena (for example in blender)\n",
+    "2. Generating patterns\n",
+    "3. Setting up cameras\n",
+    "   * Calibrating camera intrinsics\n",
+    "   * Calibrating camera extrinsics\n",
+    "   * Validating camera calibration"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Design the arena"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "#  Generetting patterns\n",
+    "\n",
+    "## rectangular"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "from navipy.arenatools.patterns import rectangular_pattern, gray2red, norm_img\n",
+    "import matplotlib.pyplot as plt\n",
+    "from matplotlib.image import imsave\n",
+    "\n",
+    "length = 1000 # mm\n",
+    "width = 250 # mm\n",
+    "beta = 1.4\n",
+    "pixel_per_mm = 1\n",
+    "pattern = rectangular_pattern(width, length, beta, pixel_per_mm)\n",
+    "pattern=norm_img(pattern)\n",
+    "pattern=gray2red(pattern)\n",
+    "plt.imshow(pattern)\n",
+    "imsave('rectangular_pattern.png', pattern)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## pattern uses and convertions\n",
+    "\n",
+    "The image saved as a png image can be used in blender for example to cover the objects with pattern.\n",
+    "\n",
+    "A printer shop or facility would like to have a pdf of the image to print. We, thus, need to convert the png to a pdf. To obtain the correct dimension, we need to specify to the png to pdf converter the density, i.e. the number of pixel per mm (often pixel per inch). In linux, you can use the convert command:\n",
+    "```bash\n",
+    "convert pathtoimage.png -density mydensity pathtoimage.pdf\n",
+    "```\n",
+    "here, ```pathtoimage``` has to be replaced by the path to your image to be converted, and ```mydensity``` the number of pixel per inch. In our example we used 1 pixel per mm, and thus 25.4 pixel per inch. "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "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": "3.6.5"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}