diff --git a/gtsam/inference/doc/Ordering.ipynb b/gtsam/inference/doc/Ordering.ipynb
index 1648e8b45..9f4a595ed 100644
--- a/gtsam/inference/doc/Ordering.ipynb
+++ b/gtsam/inference/doc/Ordering.ipynb
@@ -45,16 +45,16 @@
     },
     {
       "cell_type": "code",
-      "execution_count": 1,
+      "execution_count": 21,
       "metadata": {
         "id": "ordering_import_code"
       },
       "outputs": [],
       "source": [
         "import gtsam\n",
-        "from gtsam import Ordering, VariableIndex\n",
+        "from gtsam import Ordering\n",
         "# Need graph types\n",
-        "from gtsam import SymbolicFactorGraph, SymbolicBayesNet\n",
+        "from gtsam import SymbolicFactorGraph\n",
         "from gtsam import symbol_shorthand\n",
         "import graphviz\n",
         "\n",
@@ -75,7 +75,7 @@
     },
     {
       "cell_type": "code",
-      "execution_count": 44,
+      "execution_count": 22,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
@@ -100,7 +100,7 @@
     },
     {
       "cell_type": "code",
-      "execution_count": 45,
+      "execution_count": 23,
       "metadata": {},
       "outputs": [
         {
@@ -146,29 +146,29 @@
     },
     {
       "cell_type": "code",
-      "execution_count": 28,
+      "execution_count": 24,
       "metadata": {
         "id": "ordering_grid_setup_code"
       },
       "outputs": [],
       "source": [
-        "# Create a 5x5 grid graph\n",
-        "ROWS, COLS = 5, 5\n",
+        "# Create a 3x4 grid graph\n",
+        "ROWS, COLS = 3, 4\n",
         "\n",
         "# Use 'x' symbols for grid nodes\n",
-        "X_grid = lambda r, c: gtsam.symbol('x', r * COLS + c)\n",
+        "X_grid = lambda r, c: X(10 * (r + 1) + c + 1)\n",
+        "\n",
         "\n",
         "def create_grid_graph():\n",
         "    \"\"\"Creates a SymbolicFactorGraph representing a 2D grid.\"\"\"\n",
         "    graph = SymbolicFactorGraph()\n",
         "    keys = []\n",
-        "\n",
+        "    positions = {}\n",
         "    for r in range(ROWS):\n",
         "        for c in range(COLS):\n",
         "            key = X_grid(r, c)\n",
+        "            positions[key] = gtsam.Point2(c, COLS-r)\n",
         "            keys.append(key)\n",
-        "            # Add a unary factor (like a prior or measurement)\n",
-        "            graph.push_factor(key)\n",
         "            # Add binary factors connecting to right and down neighbors\n",
         "            if c + 1 < COLS:\n",
         "                key_right = X_grid(r, c + 1)\n",
@@ -176,9 +176,10 @@
         "            if r + 1 < ROWS:\n",
         "                key_down = X_grid(r + 1, c)\n",
         "                graph.push_factor(key, key_down)\n",
-        "    return graph, keys\n",
+        "    return graph, keys, positions\n",
         "\n",
-        "grid_graph, grid_keys = create_grid_graph()"
+        "\n",
+        "grid_graph, grid_keys, positions = create_grid_graph()"
       ]
     },
     {
@@ -187,15 +188,13 @@
         "id": "ordering_grid_viz_md"
       },
       "source": [
-        "Here's the structure of our 5x5 grid graph. Edges represent factors connecting variables (nodes)."
+        "Here's the structure of our grid graph. Edges represent factors connecting variables (nodes)."
       ]
     },
     {
       "cell_type": "code",
-      "execution_count": 22,
-      "metadata": {
-        "id": "ordering_grid_viz_code"
-      },
+      "execution_count": 25,
+      "metadata": {},
       "outputs": [
         {
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@@ -206,1015 +205,172 @@
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-              "<path fill=\"none\" stroke=\"black\" d=\"M1621.61,-40.75C1630.9,-26.86 1643.37,-8.22 1646.34,-3.78\"/>\n",
+              "<!-- var8646911284551352333&#45;&#45;var8646911284551352334 -->\n",
+              "<g id=\"edge5\" class=\"edge\">\n",
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               "<!-- var8646911284551352343 -->\n",
-              "<g id=\"node24\" class=\"node\">\n",
+              "<g id=\"node7\" class=\"node\">\n",
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+              "<ellipse fill=\"none\" stroke=\"black\" cx=\"171\" cy=\"-90\" rx=\"27\" ry=\"18\"/>\n",
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-              "<g id=\"edge89\" class=\"edge\">\n",
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+              "<!-- var8646911284551352333&#45;&#45;var8646911284551352343 -->\n",
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+              "<title>var8646911284551352333&#45;&#45;var8646911284551352343</title>\n",
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               "<!-- var8646911284551352344 -->\n",
-              "<g id=\"node25\" class=\"node\">\n",
+              "<g id=\"node8\" class=\"node\">\n",
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+              "<ellipse fill=\"none\" stroke=\"black\" cx=\"243\" cy=\"-90\" rx=\"27\" ry=\"18\"/>\n",
+              "<text text-anchor=\"middle\" x=\"243\" y=\"-86.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">x24</text>\n",
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-              "<title>var8646911284551352344&#45;&#45;factor55</title>\n",
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+              "<!-- var8646911284551352334&#45;&#45;var8646911284551352344 -->\n",
+              "<g id=\"edge7\" class=\"edge\">\n",
+              "<title>var8646911284551352334&#45;&#45;var8646911284551352344</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M243,-143.83C243,-133 243,-119.29 243,-108.41\"/>\n",
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-              "<!-- var8646911284551352344&#45;&#45;factor63 -->\n",
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-              "<path fill=\"none\" stroke=\"black\" d=\"M1744.39,-40.75C1735.1,-26.86 1722.63,-8.22 1719.66,-3.78\"/>\n",
+              "<!-- var8646911284551352341&#45;&#45;var8646911284551352342 -->\n",
+              "<g id=\"edge8\" class=\"edge\">\n",
+              "<title>var8646911284551352341&#45;&#45;var8646911284551352342</title>\n",
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-              "<!-- factor64 -->\n",
-              "<g id=\"node90\" class=\"node\">\n",
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-              "<ellipse fill=\"black\" stroke=\"black\" cx=\"1755\" cy=\"-1.8\" rx=\"1.8\" ry=\"1.8\"/>\n",
+              "<!-- var8646911284551352351 -->\n",
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+              "<!-- var8646911284551352342&#45;&#45;var8646911284551352343 -->\n",
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+              "<title>var8646911284551352343&#45;&#45;var8646911284551352344</title>\n",
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+              "</g>\n",
+              "<!-- var8646911284551352343&#45;&#45;var8646911284551352353 -->\n",
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+              "<title>var8646911284551352343&#45;&#45;var8646911284551352353</title>\n",
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+              "</g>\n",
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+              "<g id=\"node12\" class=\"node\">\n",
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+              "</g>\n",
+              "<!-- var8646911284551352344&#45;&#45;var8646911284551352354 -->\n",
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+              "<title>var8646911284551352344&#45;&#45;var8646911284551352354</title>\n",
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+              "</g>\n",
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+              "</g>\n",
+              "<!-- var8646911284551352352&#45;&#45;var8646911284551352353 -->\n",
+              "<g id=\"edge16\" class=\"edge\">\n",
+              "<title>var8646911284551352352&#45;&#45;var8646911284551352353</title>\n",
+              "<path fill=\"none\" stroke=\"black\" d=\"M126.22,-18C131.95,-18 138.01,-18 143.74,-18\"/>\n",
+              "</g>\n",
+              "<!-- var8646911284551352353&#45;&#45;var8646911284551352354 -->\n",
+              "<g id=\"edge17\" class=\"edge\">\n",
+              "<title>var8646911284551352353&#45;&#45;var8646911284551352354</title>\n",
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               "</g>\n",
               "</g>\n",
               "</svg>\n"
             ],
             "text/plain": [
-              "<graphviz.sources.Source at 0x1a42deda350>"
+              "<graphviz.sources.Source at 0x2d89d88e510>"
             ]
           },
           "metadata": {},
@@ -1222,7 +378,9 @@
         }
       ],
       "source": [
-        "display(graphviz.Source(grid_graph.dot()))"
+        "writer = gtsam.DotWriter(binaryEdges = True)\n",
+        "writer.variablePositions = positions\n",
+        "display(graphviz.Source(grid_graph.dot(writer=writer), engine='neato'))"
       ]
     },
     {
@@ -1238,7 +396,7 @@
     },
     {
       "cell_type": "code",
-      "execution_count": 47,
+      "execution_count": 26,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
@@ -1252,9 +410,14 @@
           "output_type": "stream",
           "text": [
             "COLAMD Ordering: \n",
-            "Position 0: x0, x5, x1, x6, x4, x9, x3, x8, x12, x24\n",
-            "Position 10: x23, x19, x18, x20, x21, x15, x16, x22, x17, x14\n",
-            "Position 20: x13, x10, x11, x2, x7\n",
+            "Position 0: x11, x31, x14, x34, x33, x24, x23, x32, x13, x22\n",
+            "Position 10: x21, x12\n"
+          ]
+        },
+        {
+          "name": "stdout",
+          "output_type": "stream",
+          "text": [
             "\n",
             "COLAMD Bayes Net Structure:\n"
           ]
@@ -1267,628 +430,119 @@
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         "colamd_ordering.print()\n",
         "\n",
         "# Eliminate using COLAMD ordering\n",
-        "bayes_net_colamd = grid_graph.eliminateSequential(colamd_ordering)\n",
+        "bayes_tree_colamd = grid_graph.eliminateMultifrontal(colamd_ordering)\n",
         "\n",
         "# Visualize the resulting Bayes Net\n",
         "print(\"\\nCOLAMD Bayes Net Structure:\")\n",
-        "display(graphviz.Source(bayes_net_colamd.dot()))"
+        "display(graphviz.Source(bayes_tree_colamd.dot()))"
       ]
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       "cell_type": "code",
-      "execution_count": 49,
+      "execution_count": 27,
       "metadata": {
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-            "Position 0: x21, x1, x15, x11, x5, x20, x0, x16, x6, x10\n",
-            "Position 10: x24, x4, x18, x14, x8, x23, x3, x19, x9, x13\n",
-            "Position 20: x7, x17, x2, x22, x12\n",
+            "Position 0: x34, x23, x14, x24, x13, x32, x11, x31, x21, x12\n",
+            "Position 10: x33, x22\n",
             "\n",
             "METIS Bayes Net Structure:\n"
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+              "<!-- 10&#45;&gt;11 -->\n",
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+              "<!-- 13 -->\n",
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+              "<title>13</title>\n",
+              "<ellipse fill=\"none\" stroke=\"black\" cx=\"415.39\" cy=\"-90\" rx=\"98.58\" ry=\"18\"/>\n",
+              "<text text-anchor=\"middle\" x=\"415.39\" y=\"-86.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">x23, x24 : x13, x22, x33</text>\n",
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+              "<!-- 12&#45;&gt;13 -->\n",
+              "<g id=\"edge5\" class=\"edge\">\n",
+              "<title>12&#45;&gt;13</title>\n",
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+              "<!-- 14 -->\n",
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+              "<title>14</title>\n",
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+              "<text text-anchor=\"middle\" x=\"343.39\" y=\"-14.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">x14 : x13, x24</text>\n",
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             ],
             "text/plain": [
-              "<graphviz.sources.Source at 0x1a42dfbf890>"
+              "<graphviz.sources.Source at 0x2d89d882990>"
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           "metadata": {},
@@ -2629,11 +713,11 @@
         "metis_ordering.print()\n",
         "\n",
         "# Eliminate using METIS ordering\n",
-        "bayes_net_metis = grid_graph.eliminateSequential(metis_ordering)\n",
+        "bayes_tree_metis = grid_graph.eliminateMultifrontal(metis_ordering)\n",
         "\n",
         "# Visualize the resulting Bayes Net\n",
         "print(\"\\nMETIS Bayes Net Structure:\")\n",
-        "display(graphviz.Source(bayes_net_metis.dot()))"
+        "display(graphviz.Source(bayes_tree_metis.dot()))"
       ]
     },
     {
@@ -2644,9 +728,9 @@
       "source": [
         "### Comparison\n",
         "\n",
-        "Observe the differences in the Bayes Net structures produced by COLAMD and METIS:\n",
+        "Observe the differences in the Bayes tree structures produced by COLAMD and METIS:\n",
         "\n",
-        "*   **COLAMD:** Often produces a more 'stringy' or deeper elimination tree/Bayes Net. The cliques (conditionals in the Bayes Net) might be smaller initially but can grow larger towards the root (variables eliminated last).\n",
+        "*   **COLAMD:** Often produces a more 'stringy' or deeper Bayes tree. The cliques (conditionals in the Bayes tree) might be smaller initially but can grow larger towards the root (variables eliminated last).\n",
         "*   **METIS:** Tends to produce a more 'bushy' or balanced tree. It tries to partition the graph, eliminating variables within partitions first, leading to potentially larger initial cliques but often a shallower overall structure and smaller separators (variables connecting cliques high up in the tree). \n",
         "\n",
         "When should you choose one over the other? The best choice often depends on the specific problem structure and computational goals:\n",
@@ -2657,7 +741,7 @@
         "    *   The factor graph is relatively small or doesn't have a highly regular structure where complex partitioning would yield significant benefits.\n",
         "\n",
         "*   **Use METIS when:**\n",
-        "    *   You are aiming for maximum performance with a *parallel* solver (e.g., using GTSAM's multifrontal solvers with TBB). METIS's graph partitioning approach tends to create more balanced elimination trees, which allows for better workload distribution across multiple CPU cores.\n",
+        "    *   You are aiming for maximum performance with a *parallel* solver (e.g., using GTSAM's multifrontal solvers with TBB). METIS's graph partitioning approach tends to create more balanced Bayes trees, which allows for better workload distribution across multiple CPU cores.\n",
         "    *   You are dealing with very large-scale problems, especially those with a regular structure (like large grids, meshes from finite element analysis, or extensive SLAM maps). On such problems, METIS can sometimes find an ordering with significantly less *total fill-in* than COLAMD, leading to faster factorization, even if computing the ordering itself takes longer.\n",
         "    *   The cost of computing the ordering is negligible compared to the cost of the subsequent factorization and solve steps (e.g., you compute the ordering once for a structure that is solved repeatedly).\n",
         "\n",
@@ -2679,7 +763,7 @@
     },
     {
       "cell_type": "code",
-      "execution_count": 51,
+      "execution_count": 28,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
@@ -2692,10 +776,9 @@
           "name": "stdout",
           "output_type": "stream",
           "text": [
-            "Constrained COLAMD (x0, x24 last):\n",
-            "Position 0: x5, x1, x6, x23, x20, x21, x15, x16, x22, x12\n",
-            "Position 10: x19, x4, x9, x3, x8, x14, x13, x18, x17, x2\n",
-            "Position 20: x7, x10, x11, x24, x0\n"
+            "Constrained COLAMD (x11, x34 last):\n",
+            "Position 0: x31, x32, x21, x14, x24, x13, x23, x33, x22, x12\n",
+            "Position 10: x34, x11\n"
           ]
         }
       ],
@@ -2721,7 +804,7 @@
     },
     {
       "cell_type": "code",
-      "execution_count": 52,
+      "execution_count": 29,
       "metadata": {
         "colab": {
           "base_uri": "https://localhost:8080/"
@@ -2734,8 +817,8 @@
           "name": "stdout",
           "output_type": "stream",
           "text": [
-            "COLAMD Ordering size: 25\n",
-            "Key at position 0 (COLAMD): x0\n"
+            "COLAMD Ordering size: 12\n",
+            "Key at position 0 (COLAMD): x11\n"
           ]
         }
       ],
@@ -2760,7 +843,7 @@
     },
     {
       "cell_type": "code",
-      "execution_count": 53,
+      "execution_count": 30,
       "metadata": {
         "colab": {
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@@ -2773,9 +856,8 @@
           "name": "stdout",
           "output_type": "stream",
           "text": [
-            "Appended Ordering: Position 0: x0, x5, x1, x6, x4, x9, x3, x8, x12, x24\n",
-            "Position 10: x23, x19, x18, x20, x21, x15, x16, x22, x17, x14\n",
-            "Position 20: x13, x10, x11, x2, x7, l0, x25\n"
+            "Appended Ordering: Position 0: x11, x31, x14, x34, x33, x24, x23, x32, x13, x22\n",
+            "Position 10: x21, x12, l0, x12\n"
           ]
         }
       ],
@@ -2791,7 +873,7 @@
   ],
   "metadata": {
     "kernelspec": {
-      "display_name": "gtsam",
+      "display_name": "py312",
       "language": "python",
       "name": "python3"
     },
@@ -2805,7 +887,7 @@
       "name": "python",
       "nbconvert_exporter": "python",
       "pygments_lexer": "ipython3",
-      "version": "3.13.1"
+      "version": "3.12.6"
     }
   },
   "nbformat": 4,