diff --git a/posts/2024-Jan-2-logo.ipynb b/posts/2024-Jan-2-logo.ipynb
index c02bc2d..0940565 100644
--- a/posts/2024-Jan-2-logo.ipynb
+++ b/posts/2024-Jan-2-logo.ipynb
@@ -248,13 +248,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 17,
+   "execution_count": 23,
    "id": "4f33e9e3",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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",
       "text/plain": [
        "<Figure size 1000x600 with 1 Axes>"
       ]
@@ -285,7 +285,7 @@
     "\n",
     "# Plot sigmoid function with shadow\n",
     "ax.plot(x_range, y_range, label='Sigmoid Function', color='navy', lw=10, zorder=3)\n",
-    "ax.plot(x_range, y_range - 0.02, color='grey', lw=8, alpha=0.3, zorder=2)\n",
+    "ax.plot(x_range, y_range - 0.03, color='grey', lw=10, alpha=0.4, zorder=2)\n",
     "\n",
     "# Draw 'S' using 'X' markers\n",
     "xs_plus = np.array([13, 17, 19])\n",
@@ -331,9 +331,81 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 34,
    "id": "264a24b9",
    "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 1000x500 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "image/png": {
+       "height": 405,
+       "width": 794
+      }
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "import numpy as np\n",
+    "import matplotlib.pyplot as plt\n",
+    "\n",
+    "# Sigmoid function\n",
+    "def sigmoid(x):\n",
+    "    return 1 / (1 + np.exp(-x))\n",
+    "\n",
+    "# Generate data\n",
+    "x_range = np.linspace(-20, 20, 800)\n",
+    "y_range = sigmoid(x_range)\n",
+    "\n",
+    "fig, ax = plt.subplots(figsize=(10, 5))\n",
+    "\n",
+    "# Plot sigmoid function with shadow\n",
+    "ax.plot(x_range, y_range, label='Sigmoid Function', color='tomato', lw=10, zorder=3)\n",
+    "ax.plot(x_range, y_range - 0.03, color='grey', lw=10, alpha=0.4, zorder=2)\n",
+    "\n",
+    "# Draw 'S' using 'X' markers\n",
+    "xs_plus = np.array([13, 17, 19])\n",
+    "ys_plus = sigmoid(xs_plus)\n",
+    "ax.scatter(xs_plus, ys_plus, color='white', edgecolor='black', marker='X', s=300, zorder=4)\n",
+    "\n",
+    "# Draw 'S' using 'o' markers\n",
+    "xs_o = np.array([-10, -14, -18])\n",
+    "ys_o = sigmoid(xs_o)\n",
+    "ax.scatter(xs_o, ys_o, color='white', edgecolor='black', marker='o', s=300, zorder=4)\n",
+    "\n",
+    "# Draw thick 'L' shaped coordinate axes\n",
+    "ax.plot([0, 20], [0, 0], color='tomato', lw=8, zorder=3)  # Positive x-axis\n",
+    "ax.plot([0, 0], [0, 1], color='tomato', lw=8, zorder=3)   # Positive y-axis\n",
+    "\n",
+    "# Draw shadow for 'L' shaped coordinate axes\n",
+    "ax.plot([0, 20], [-0.02, -0.02], color='grey', lw=8, alpha=0.4, zorder=2)  # Shadow for x-axis\n",
+    "ax.plot([0.05, 0.05], [0, 1], color='grey', lw=8, alpha=0.4, zorder=2)    # Shadow for y-axis\n",
+    "\n",
+    "# Set the face color of the plot area to grey\n",
+    "ax.set_facecolor('#F4F4F0')\n",
+    "\n",
+    "# Remove ticks and labels\n",
+    "ax.set_xticks([])\n",
+    "ax.set_yticks([])\n",
+    "\n",
+    "# Remove spines\n",
+    "ax.spines['top'].set_visible(False)\n",
+    "ax.spines['right'].set_visible(False)\n",
+    "ax.spines['left'].set_visible(False)\n",
+    "ax.spines['bottom'].set_visible(False)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "65c2ae3e",
+   "metadata": {},
    "outputs": [],
    "source": []
   }