diff --git a/algorithm/.ipynb_checkpoints/interactive-checkpoint.ipynb b/algorithm/.ipynb_checkpoints/interactive-checkpoint.ipynb
index dd65f52..c15b92b 100644
--- a/algorithm/.ipynb_checkpoints/interactive-checkpoint.ipynb
+++ b/algorithm/.ipynb_checkpoints/interactive-checkpoint.ipynb
@@ -12,106 +12,71070 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 2,
    "id": "0a5c51d2-8b18-4143-b6f1-73a909ccb623",
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "e47aabe79e0c4d0b805af9c8c5ddcd2c",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "VBox(children=(HBox(children=(VBox(children=(Text(value='x**3 - x**(1/2)', description='Expression:', style=Te…"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "3932d46cd01e4aa7954a96b578cba8c0",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "Output()"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "277e5f45abc84761bdcfc0f30b9aa434",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "Output()"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "gd1 = gradient_descent_1d(environ=\"jupyterlab\")"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 3,
    "id": "15c6e757-cde3-422b-be7e-3f55b7752142",
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "754a54a9b7294fde9ca6943c1164e7a8",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "VBox(children=(HBox(children=(Dropdown(index=2, options=(('(sin(x1) - 2) + (sin(x2) - 2) ** 2', '(sin(x1) - 2)…"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "e57f04a5d4474dc1bb12258dca317e12",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "Output()"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "application/vnd.jupyter.widget-view+json": {
+       "model_id": "f690ccc4bc1741238bd81db935677a74",
+       "version_major": 2,
+       "version_minor": 0
+      },
+      "text/plain": [
+       "Output()"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "gd2 = gradient_descent_2d(environ=\"jupyterlab\")"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
-   "id": "081eff94-4d25-4455-8ff1-86b4518a052c",
+   "execution_count": 24,
+   "id": "f49bfc36-b6fd-408f-91ba-270a58854b2e",
    "metadata": {},
    "outputs": [
     {
-     "data": {
-      "application/vnd.jupyter.widget-view+json": {
-       "model_id": "b22d5c450acf419db39a6d9106ef7c2c",
-       "version_major": 2,
-       "version_minor": 0
-      },
-      "text/plain": [
-       "Dropdown(description='Number:', index=1, options=(('One', '(sin(x1) - 2) ** 2 + (sin(x2) - 2) ** (1/2)'), ('Tw…"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
+     "ename": "ValueError",
+     "evalue": "operands could not be broadcast together with shapes (63,) (186,186) ",
+     "output_type": "error",
+     "traceback": [
+      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
+      "\u001b[0;31mValueError\u001b[0m                                Traceback (most recent call last)",
+      "\u001b[0;32m/tmp/ipykernel_153593/2094296290.py\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m     11\u001b[0m \u001b[0mpartial_x1\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mlambdify\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdiff\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mexpr\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m\"numpy\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     12\u001b[0m \u001b[0mpartial_x2\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mlambdify\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdiff\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mexpr\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m\"numpy\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 13\u001b[0;31m \u001b[0mplane\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mpartial_x1\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0marray\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mgd2\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mxn_list\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0marray\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mgd2\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mxn_list\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mx1\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mxx1\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0mpartial_x2\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0marray\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mgd2\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mxn_list\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0marray\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mgd2\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mxn_list\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mx2\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mxx2\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0mfx\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     14\u001b[0m \u001b[0mz\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mlambdify\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mx1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mx2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mplane\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m10\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m\"numpy\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mxx1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mxx2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     15\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
+      "\u001b[0;31mValueError\u001b[0m: operands could not be broadcast together with shapes (63,) (186,186) "
+     ]
     }
    ],
    "source": [
-    "gd2 = gradient_descent_2d_custom(environ=\"jupyterlab\")"
+    "## tangent plane\n",
+    "x1 = symbols(\"x1\")\n",
+    "x2 = symbols(\"x2\")\n",
+    "f = lambdify((x1, x2), gd2.wg_expr.value, \"numpy\")\n",
+    "xx1 = np.arange(np.array(gd2.xn_list)[:, 0].min()*0.5, np.array(gd2.xn_list)[:, 0].max()*1.5, 0.05)\n",
+    "xx2 = np.arange(np.array(gd2.xn_list)[:, 1].min()*0.5, np.array(gd2.xn_list)[:, 1].max()*1.5, 0.05)\n",
+    "xx1_o, xx2_o = xx1, xx2\n",
+    "xx1, xx2 = np.meshgrid(xx1, xx2)\n",
+    "fx = f(xx1, xx2)\n",
+    "expr = sympify(gd2.wg_expr.value)\n",
+    "partial_x1 = lambdify((x1, x2), diff(expr, x1), \"numpy\")\n",
+    "partial_x2 = lambdify((x1, x2), diff(expr, x2), \"numpy\")\n",
+    "plane = partial_x1(np.array(gd2.xn_list)[:, 0], np.array(gd2.xn_list)[:, 1]) * (x1 - np.array(gd2.xn_list)[:, 0]) + \\\n",
+    "        partial_x2(np.array(gd2.xn_list)[:, 0], np.array(gd2.xn_list)[:, 1]) * (x2 - np.array(gd2.xn_list)[:, 0]) + \\\n",
+    "        fx\n",
+    "z = lambdify((x1, x2), plane[0][10], \"numpy\")(xx1, xx2)\n",
+    "\n",
+    "trace0 = go.Surface(x=xx1, y=xx2, z=z)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
-   "id": "c0445fd1-de19-4b5c-adb7-f285ebe38bb7",
+   "execution_count": 25,
+   "id": "a493e2f6-6b4a-4e30-9816-6580ac9d0123",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "application/vnd.jupyter.widget-view+json": {
-       "model_id": "988a5acf153946928f4513f428759f9c",
-       "version_major": 2,
-       "version_minor": 0
+      "application/vnd.plotly.v1+json": {
+       "config": {
+        "plotlyServerURL": "https://plot.ly"
+       },
+       "data": [
+        {
+         "type": "surface",
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"
      },
      "metadata": {},
      "output_type": "display_data"
     }
    ],
    "source": [
-    "import ipywidgets as widgets\n",
-    "from IPython.display import display\n",
-    "\n",
-    "geo={'USA':['CHI','NYC'],'Russia':['MOW','LED']}\n",
-    "geoWs = {key: widgets.Select(options=geo[key]) for key in geo}\n",
-    "\n",
-    "def get_current_state():\n",
-    "    return {'country': i.children[0].value,\n",
-    "            'city': i.children[1].value}\n",
-    "\n",
-    "def print_city(country=\"Russia\"):\n",
-    "    if country==\"Russia\":\n",
-    "        hello = widgets.Text(value=\"a\", discription=\"hello\")\n",
-    "        display(hello)\n",
-    "        print(hello.value)\n",
-    "\n",
-    "def select_country(country):\n",
-    "    new_i = widgets.interactive(print_city, country=countryW, city=geoWs[country['new']])\n",
-    "    children = new_i.children\n",
-    "\n",
-    "countryW = widgets.Select(options=list(geo.keys()))\n",
-    "init = countryW.value\n",
-    "cityW = geoWs[init]\n",
-    "\n",
-    "countryW.observe(select_country, 'value')\n",
-    "\n",
-    "i = widgets.interactive(print_city, country=countryW, city=cityW)\n",
-    "\n",
-    "display(i)"
+    "fig = go.Figure(trace0)\n",
+    "fig.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 32,
+   "id": "e3909c55-8d69-4476-9d38-6c7f5986d3aa",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([-1.67866985e+00, -2.54965667e+00, -3.59746536e+00, -4.35129259e+00,\n",
+       "       -4.12200838e+00, -3.12277143e+00, -2.19419969e+00, -1.57072577e+00,\n",
+       "       -1.16291457e+00, -8.84107882e-01, -6.84378894e-01, -5.36050326e-01,\n",
+       "       -4.23070981e-01, -3.35534592e-01, -2.66942015e-01, -2.12796420e-01,\n",
+       "       -1.69850594e-01, -1.35682940e-01, -1.08445337e-01, -8.67045898e-02,\n",
+       "       -6.93372252e-02, -5.54562438e-02, -4.43580658e-02, -3.54829054e-02,\n",
+       "       -2.83845083e-02, -2.27066768e-02, -1.81648654e-02, -1.45316486e-02,\n",
+       "       -1.16251941e-02, -9.30009141e-03, -7.44004042e-03, -5.95201559e-03,\n",
+       "       -4.76160389e-03, -3.80927873e-03, -3.04742073e-03, -2.43793544e-03,\n",
+       "       -1.95034776e-03, -1.56027791e-03, -1.24822217e-03, -9.98577657e-04,\n",
+       "       -7.98862085e-04, -6.39089647e-04, -5.11271707e-04, -4.09017360e-04,\n",
+       "       -3.27213885e-04, -2.61771107e-04, -2.09416885e-04, -1.67533507e-04,\n",
+       "       -1.34026806e-04, -1.07221445e-04, -8.57771556e-05, -6.86217244e-05,\n",
+       "       -5.48973795e-05, -4.39179036e-05, -3.51343229e-05, -2.81074583e-05,\n",
+       "       -2.24859666e-05, -1.79887733e-05, -1.43910187e-05, -1.15128149e-05,\n",
+       "       -9.21025194e-06, -7.36820155e-06, -5.89456124e-06])"
+      ]
+     },
+     "execution_count": 32,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "partial_x1(np.array(gd2.xn_list)[:, 0], np.array(gd2.xn_list)[:, 1])"
    ]
   },
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "9d58d792-f358-4bc1-9684-87fa1184c746",
+   "id": "3442b03b-1bb3-4694-8715-1b465b78dc63",
    "metadata": {},
    "outputs": [],
    "source": []
diff --git a/algorithm/interactive.ipynb b/algorithm/interactive.ipynb
index 597f64d..e5f3c25 100644
--- a/algorithm/interactive.ipynb
+++ b/algorithm/interactive.ipynb
@@ -19,7 +19,7 @@
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "fd4cdbf9287c41688031966a49d242f1",
+       "model_id": "70a42b75bdbf466faf21e0cebc36f929",
        "version_major": 2,
        "version_minor": 0
       },
@@ -33,7 +33,7 @@
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "39fd09f82a984aab9c3e4151aa1e56d7",
+       "model_id": "d694d1ca0515436ba380b3c1987752c2",
        "version_major": 2,
        "version_minor": 0
       },
@@ -47,7 +47,7 @@
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "92bbd0ae79594f549236e6e6eda98239",
+       "model_id": "350dce1753724cddbc0c5d5c883a451b",
        "version_major": 2,
        "version_minor": 0
       },
@@ -65,14 +65,14 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 13,
+   "execution_count": 3,
    "id": "15c6e757-cde3-422b-be7e-3f55b7752142",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "8fccd7fbfb3e4abcbe6b301e86f67b89",
+       "model_id": "ee383167ceff45b7818279fdfbeb9535",
        "version_major": 2,
        "version_minor": 0
       },
@@ -86,7 +86,7 @@
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "2106ad6fe88349b6907ee8d05467bd54",
+       "model_id": "5325cc88a8fa46ffb92b466701a2b8b1",
        "version_major": 2,
        "version_minor": 0
       },
@@ -100,7 +100,7 @@
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "14d1e92aff104274a29471f81cea8c5e",
+       "model_id": "d76a192e28344ae99821b441b0c74b75",
        "version_major": 2,
        "version_minor": 0
       },
@@ -116,50682 +116,10 @@
     "gd2 = gradient_descent_2d(environ=\"jupyterlab\")"
    ]
   },
-  {
-   "cell_type": "code",
-   "execution_count": 26,
-   "id": "7259f90b-66a3-4bcc-8f98-9a617d5a7163",
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "x1 = symbols(\"x1\")\n",
-    "x2 = symbols(\"x2\")\n",
-    "f = lambdify((x1, x2), gd2.wg_expr.value, \"numpy\")\n",
-    "xx1 = np.arange(np.array(gd2.xn_list)[:, 0].min()*0.5, np.array(gd2.xn_list)[:, 0].max()*1.5, 0.05)\n",
-    "xx2 = np.arange(np.array(gd2.xn_list)[:, 1].min()*0.5, np.array(gd2.xn_list)[:, 1].max()*1.5, 0.05)\n",
-    "fx = f(xx1, xx2)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 32,
-   "id": "f49bfc36-b6fd-408f-91ba-270a58854b2e",
-   "metadata": {},
-   "outputs": [
-    {
-     "ename": "ValueError",
-     "evalue": "\nSince there is more than one variable in the expression, the\nvariable(s) of differentiation must be supplied to differentiate\n(sin(x1) - 2)**2 + (sin(x2) - 2)**2",
-     "output_type": "error",
-     "traceback": [
-      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
-      "\u001b[0;31mValueError\u001b[0m                                Traceback (most recent call last)",
-      "\u001b[0;32m/tmp/ipykernel_31335/2650209603.py\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[0mexpr\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mgd2\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mwg_expr\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mvalue\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0mdiff\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mexpr\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
-      "\u001b[0;32m~/.conda/envs/optimization/lib/python3.7/site-packages/sympy/core/function.py\u001b[0m in \u001b[0;36mdiff\u001b[0;34m(f, *symbols, **kwargs)\u001b[0m\n\u001b[1;32m   2499\u001b[0m         \u001b[0;32mreturn\u001b[0m \u001b[0mf\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdiff\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0msymbols\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   2500\u001b[0m     \u001b[0mkwargs\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msetdefault\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'evaluate'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 2501\u001b[0;31m     \u001b[0;32mreturn\u001b[0m \u001b[0m_derivative_dispatch\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mf\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m*\u001b[0m\u001b[0msymbols\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   2502\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   2503\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
-      "\u001b[0;32m~/.conda/envs/optimization/lib/python3.7/site-packages/sympy/core/function.py\u001b[0m in \u001b[0;36m_derivative_dispatch\u001b[0;34m(expr, *variables, **kwargs)\u001b[0m\n\u001b[1;32m   1921\u001b[0m         \u001b[0;32mfrom\u001b[0m \u001b[0msympy\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtensor\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0marray\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0marray_derivatives\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mArrayDerivative\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1922\u001b[0m         \u001b[0;32mreturn\u001b[0m \u001b[0mArrayDerivative\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mexpr\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m*\u001b[0m\u001b[0mvariables\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1923\u001b[0;31m     \u001b[0;32mreturn\u001b[0m \u001b[0mDerivative\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mexpr\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m*\u001b[0m\u001b[0mvariables\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   1924\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1925\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
-      "\u001b[0;32m~/.conda/envs/optimization/lib/python3.7/site-packages/sympy/core/function.py\u001b[0m in \u001b[0;36m__new__\u001b[0;34m(cls, expr, *variables, **kwargs)\u001b[0m\n\u001b[1;32m   1269\u001b[0m                         \u001b[0mSince\u001b[0m \u001b[0mthere\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0mmore\u001b[0m \u001b[0mthan\u001b[0m \u001b[0mone\u001b[0m \u001b[0mvariable\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mthe\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1270\u001b[0m                         \u001b[0mexpression\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mthe\u001b[0m \u001b[0mvariable\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ms\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0mof\u001b[0m \u001b[0mdifferentiation\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1271\u001b[0;31m                         must be supplied to differentiate %s''' % expr))\n\u001b[0m\u001b[1;32m   1272\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1273\u001b[0m         \u001b[0;31m# Split the list of variables into a list of the variables we are diff\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
-      "\u001b[0;31mValueError\u001b[0m: \nSince there is more than one variable in the expression, the\nvariable(s) of differentiation must be supplied to differentiate\n(sin(x1) - 2)**2 + (sin(x2) - 2)**2"
-     ]
-    }
-   ],
-   "source": [
-    "expr = gd2.wg_expr.value\n",
-    "diff(expr)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 33,
-   "id": "a493e2f6-6b4a-4e30-9816-6580ac9d0123",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "'(sin(x1) - 2) ** 2 + (sin(x2) - 2) ** 2'"
-      ]
-     },
-     "execution_count": 33,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "expr"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 42,
-   "id": "a6e55df0-e8cd-45c0-821f-b471c915d3b7",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "application/vnd.plotly.v1+json": {
-       "config": {
-        "plotlyServerURL": "https://plot.ly"
-       },
-       "data": [
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-         "type": "surface",
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"
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
-   "source": []
-  },
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "dd44f5dd-7da6-4189-8ab3-7e3d767b2efc",
-   "metadata": {},
-   "outputs": [
-    {
-     "ename": "AttributeError",
-     "evalue": "'function' object has no attribute 'ndim'",
-     "output_type": "error",
-     "traceback": [
-      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
-      "\u001b[0;31mAttributeError\u001b[0m                            Traceback (most recent call last)",
-      "\u001b[0;32m/tmp/ipykernel_31335/697530427.py\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mplot_tan_plane\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;32mlambda\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0my\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;36m3\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mx\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0;36m2\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0my\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
-      "\u001b[0;32m/tmp/ipykernel_31335/1155377751.py\u001b[0m in \u001b[0;36mplot_tan_plane\u001b[0;34m(f, a, b)\u001b[0m\n\u001b[1;32m     29\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     30\u001b[0m     \u001b[0;31m#do the plotting\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 31\u001b[0;31m     \u001b[0max\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot_surface\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mY\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m;\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     32\u001b[0m     \u001b[0max\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot_surface\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mY\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mj\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m;\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
-      "\u001b[0;32m~/.conda/envs/optimization/lib/python3.7/site-packages/matplotlib/_api/deprecation.py\u001b[0m in \u001b[0;36mwrapper\u001b[0;34m(*inner_args, **inner_kwargs)\u001b[0m\n\u001b[1;32m    413\u001b[0m                          \u001b[0;32melse\u001b[0m \u001b[0mdeprecation_addendum\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    414\u001b[0m                 **kwargs)\n\u001b[0;32m--> 415\u001b[0;31m         \u001b[0;32mreturn\u001b[0m \u001b[0mfunc\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0minner_args\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0minner_kwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    416\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    417\u001b[0m     \u001b[0mDECORATORS\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mwrapper\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mdecorator\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
-      "\u001b[0;32m~/.conda/envs/optimization/lib/python3.7/site-packages/mpl_toolkits/mplot3d/axes3d.py\u001b[0m in \u001b[0;36mplot_surface\u001b[0;34m(self, X, Y, Z, norm, vmin, vmax, lightsource, *args, **kwargs)\u001b[0m\n\u001b[1;32m   1578\u001b[0m         \u001b[0mhad_data\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mhas_data\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1579\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1580\u001b[0;31m         \u001b[0;32mif\u001b[0m \u001b[0mZ\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mndim\u001b[0m \u001b[0;34m!=\u001b[0m \u001b[0;36m2\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   1581\u001b[0m             \u001b[0;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"Argument Z must be 2-dimensional.\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1582\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
-      "\u001b[0;31mAttributeError\u001b[0m: 'function' object has no attribute 'ndim'"
-     ]
-    },
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<Figure size 800x800 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
-   "source": [
-    "plot_tan_plane(lambda x,y: 3 - x**2 - y**2,1,1)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "id": "92dcb477-f3f5-4c6c-bd0a-b2fb4bee1996",
+   "id": "52862bf7-6db4-45bc-b963-b140b84795ef",
    "metadata": {},
    "outputs": [],
    "source": []
diff --git a/algorithm/optimization/.ipynb_checkpoints/gd-checkpoint.py b/algorithm/optimization/.ipynb_checkpoints/gd-checkpoint.py
index c3d73cb..3096782 100644
--- a/algorithm/optimization/.ipynb_checkpoints/gd-checkpoint.py
+++ b/algorithm/optimization/.ipynb_checkpoints/gd-checkpoint.py
@@ -10,6 +10,7 @@ from IPython.display import display, clear_output
 
 from tqdm import tqdm
 
+import matplotlib.pyplot as plt
 import plotly.graph_objects as go
 import plotly.io as pio
 
@@ -20,7 +21,7 @@ class gradient_descent_1d(object):
     def __init__(self, environ:str="jupyterlab"):
         pio.renderers.default = environ # 'notebook' or 'colab' or 'jupyterlab'
         self.wg_expr = widgets.Text(value="x**3 - x**(1/2)", 
-                                    description="Expression:",
+                                     description="Expression:",
                                     style={'description_width': 'initial'})
         self.wg_x0 = widgets.FloatText(value="2", 
                                        description="Startpoint:",
@@ -279,19 +280,26 @@ class gradient_descent_2d(object):
             x1 = symbols("x1")
             x2 = symbols("x2")
             expr = sympify(self.wg_expr.value)
-            xx1 = np.arange(np.array(self.xn_list)[:, 0].min()*0.5, np.array(self.xn_list)[:, 0].max()*1.5, 0.05)
-            xx2 = np.arange(np.array(self.xn_list)[:, 1].min()*0.5, np.array(self.xn_list)[:, 1].max()*1.5, 0.05)
+            xx1 = np.arange(np.array(self.xn_list)[:, 0].min() * 0.5, np.array(self.xn_list)[:, 0].max() * 1.5, 0.1)
+            xx2 = np.arange(np.array(self.xn_list)[:, 1].min() * 0.5, np.array(self.xn_list)[:, 1].max() * 1.5, 0.1)
+            xx1_tangent = np.arange(np.array(self.xn_list)[:, 0].min(), np.array(self.xn_list)[:, 0].max(), 0.1)
+            xx2_tangent = np.arange(np.array(self.xn_list)[:, 1].min(), np.array(self.xn_list)[:, 1].max(), 0.1)
+            xx1_o, xx2_o = xx1, xx2
             xx1, xx2 = np.meshgrid(xx1, xx2)
-
+            xx1_tangent, xx2_tangent = np.meshgrid(xx1_tangent, xx2_tangent)
             f = lambdify((x1, x2), expr, "numpy")
             fx = f(xx1, xx2)
             f_xn = f(np.array(self.xn_list)[:, 0], np.array(self.xn_list)[:, 1])
+            partial_x1 = lambdify((x1, x2), diff(expr, x1), "numpy")
+            partial_x2 = lambdify((x1, x2), diff(expr, x2), "numpy")
+            plane = partial_x1(np.array(self.xn_list)[:, 0], np.array(self.xn_list)[:, 1]) * (x1 - np.array(self.xn_list)[:, 0]) + partial_x2(np.array(self.xn_list)[:, 0], np.array(self.xn_list)[:, 1]) * (x2 - np.array(self.xn_list)[:, 0]) + f_xn
+            z = [lambdify((x1, x2), plane[i], "numpy")(xx1_tangent, xx2_tangent) for i in range(0, len(plane))]
             
             frames, steps = [], []
             for k in range(len(f_xn)):
-                #frame = go.Frame(data=[go.Surface(x=xx1, y=xx2, z=fx, showscale=True, opacity=0.8)])
-                #fig.add_trace(go.Scatter3d(x=np.array(self.xn_list)[:k, 0], y=np.array(self.xn_list)[:k, 1], z=f_xn))
-                frame = go.Frame(dict(data=[go.Scatter3d(x=np.array(self.xn_list)[:k,0], y=np.array(self.xn_list)[:k,1], z=f_xn)], name=f'frame{k+1}'), traces=[1])
+                tmp_trace1 = go.Scatter3d(x=np.array(self.xn_list)[:k,0], y=np.array(self.xn_list)[:k,1], z=f_xn)
+                tmp_trace2 = go.Surface(x=xx1_tangent, y=xx2_tangent, z=z[k], showscale=True, opacity=0.5)
+                frame = go.Frame(dict(data=[tmp_trace1, tmp_trace2], name=f'frame{k+1}'), traces=[1, 2])
                 frames.append(frame)
                 step = dict(
                     method="update",
@@ -316,13 +324,12 @@ class gradient_descent_2d(object):
                         len=1.0)
                    ]
 
-            trace1 = go.Surface(x=xx1, y=xx2, z=fx, showscale=True, opacity=0.8)
+            trace1 = go.Surface(x=xx1, y=xx2, z=fx, showscale=False, opacity=0.8)
             trace2 = go.Scatter3d(x=None, y=None, z=None)
-            fig = go.Figure(data=[trace1, trace2], frames=frames)
-            #fig.add_surface(x=xx1, y=xx2, z=fx, showscale=True, opacity=0.9)
-            #fig.update_traces(contours_z=dict(show=True, usecolormap=True, highlightcolor="limegreen", project_z=True))
-            #fig.update(frames=frames)
+            trace3 = go.Surface(x=None, y=None, z=None, showscale=False, opacity=0.5, colorscale='Blues')
+            fig = go.Figure(data=[trace1, trace2, trace3], frames=frames)
             fig.update_layout(updatemenus=[dict(type="buttons", buttons=[dict(label="Play", method="animate", args=[None, dict(fromcurrent=True)]), \
-                                                                         dict(label="Pause", method="animate", args=[[None], dict(fromcurrent=True, mode='immediate', transition= {'duration': 0}, frame=dict(redraw=True, duration=0))])])],
-                             margin=dict(l=0, r=0, b=0, t=0), sliders=sliders)
+                                                                         dict(label="Pause", method="animate", args=[[None], \
+                                                                         dict(fromcurrent=True, mode='immediate', transition= {'duration': 0}, frame=dict(redraw=True, duration=0))])])],
+                              margin=dict(r=20, l=10, b=10, t=10), sliders=sliders)
             fig.show()
\ No newline at end of file
diff --git a/algorithm/optimization/gd.py b/algorithm/optimization/gd.py
index c3d73cb..3096782 100644
--- a/algorithm/optimization/gd.py
+++ b/algorithm/optimization/gd.py
@@ -10,6 +10,7 @@ from IPython.display import display, clear_output
 
 from tqdm import tqdm
 
+import matplotlib.pyplot as plt
 import plotly.graph_objects as go
 import plotly.io as pio
 
@@ -20,7 +21,7 @@ class gradient_descent_1d(object):
     def __init__(self, environ:str="jupyterlab"):
         pio.renderers.default = environ # 'notebook' or 'colab' or 'jupyterlab'
         self.wg_expr = widgets.Text(value="x**3 - x**(1/2)", 
-                                    description="Expression:",
+                                     description="Expression:",
                                     style={'description_width': 'initial'})
         self.wg_x0 = widgets.FloatText(value="2", 
                                        description="Startpoint:",
@@ -279,19 +280,26 @@ class gradient_descent_2d(object):
             x1 = symbols("x1")
             x2 = symbols("x2")
             expr = sympify(self.wg_expr.value)
-            xx1 = np.arange(np.array(self.xn_list)[:, 0].min()*0.5, np.array(self.xn_list)[:, 0].max()*1.5, 0.05)
-            xx2 = np.arange(np.array(self.xn_list)[:, 1].min()*0.5, np.array(self.xn_list)[:, 1].max()*1.5, 0.05)
+            xx1 = np.arange(np.array(self.xn_list)[:, 0].min() * 0.5, np.array(self.xn_list)[:, 0].max() * 1.5, 0.1)
+            xx2 = np.arange(np.array(self.xn_list)[:, 1].min() * 0.5, np.array(self.xn_list)[:, 1].max() * 1.5, 0.1)
+            xx1_tangent = np.arange(np.array(self.xn_list)[:, 0].min(), np.array(self.xn_list)[:, 0].max(), 0.1)
+            xx2_tangent = np.arange(np.array(self.xn_list)[:, 1].min(), np.array(self.xn_list)[:, 1].max(), 0.1)
+            xx1_o, xx2_o = xx1, xx2
             xx1, xx2 = np.meshgrid(xx1, xx2)
-
+            xx1_tangent, xx2_tangent = np.meshgrid(xx1_tangent, xx2_tangent)
             f = lambdify((x1, x2), expr, "numpy")
             fx = f(xx1, xx2)
             f_xn = f(np.array(self.xn_list)[:, 0], np.array(self.xn_list)[:, 1])
+            partial_x1 = lambdify((x1, x2), diff(expr, x1), "numpy")
+            partial_x2 = lambdify((x1, x2), diff(expr, x2), "numpy")
+            plane = partial_x1(np.array(self.xn_list)[:, 0], np.array(self.xn_list)[:, 1]) * (x1 - np.array(self.xn_list)[:, 0]) + partial_x2(np.array(self.xn_list)[:, 0], np.array(self.xn_list)[:, 1]) * (x2 - np.array(self.xn_list)[:, 0]) + f_xn
+            z = [lambdify((x1, x2), plane[i], "numpy")(xx1_tangent, xx2_tangent) for i in range(0, len(plane))]
             
             frames, steps = [], []
             for k in range(len(f_xn)):
-                #frame = go.Frame(data=[go.Surface(x=xx1, y=xx2, z=fx, showscale=True, opacity=0.8)])
-                #fig.add_trace(go.Scatter3d(x=np.array(self.xn_list)[:k, 0], y=np.array(self.xn_list)[:k, 1], z=f_xn))
-                frame = go.Frame(dict(data=[go.Scatter3d(x=np.array(self.xn_list)[:k,0], y=np.array(self.xn_list)[:k,1], z=f_xn)], name=f'frame{k+1}'), traces=[1])
+                tmp_trace1 = go.Scatter3d(x=np.array(self.xn_list)[:k,0], y=np.array(self.xn_list)[:k,1], z=f_xn)
+                tmp_trace2 = go.Surface(x=xx1_tangent, y=xx2_tangent, z=z[k], showscale=True, opacity=0.5)
+                frame = go.Frame(dict(data=[tmp_trace1, tmp_trace2], name=f'frame{k+1}'), traces=[1, 2])
                 frames.append(frame)
                 step = dict(
                     method="update",
@@ -316,13 +324,12 @@ class gradient_descent_2d(object):
                         len=1.0)
                    ]
 
-            trace1 = go.Surface(x=xx1, y=xx2, z=fx, showscale=True, opacity=0.8)
+            trace1 = go.Surface(x=xx1, y=xx2, z=fx, showscale=False, opacity=0.8)
             trace2 = go.Scatter3d(x=None, y=None, z=None)
-            fig = go.Figure(data=[trace1, trace2], frames=frames)
-            #fig.add_surface(x=xx1, y=xx2, z=fx, showscale=True, opacity=0.9)
-            #fig.update_traces(contours_z=dict(show=True, usecolormap=True, highlightcolor="limegreen", project_z=True))
-            #fig.update(frames=frames)
+            trace3 = go.Surface(x=None, y=None, z=None, showscale=False, opacity=0.5, colorscale='Blues')
+            fig = go.Figure(data=[trace1, trace2, trace3], frames=frames)
             fig.update_layout(updatemenus=[dict(type="buttons", buttons=[dict(label="Play", method="animate", args=[None, dict(fromcurrent=True)]), \
-                                                                         dict(label="Pause", method="animate", args=[[None], dict(fromcurrent=True, mode='immediate', transition= {'duration': 0}, frame=dict(redraw=True, duration=0))])])],
-                             margin=dict(l=0, r=0, b=0, t=0), sliders=sliders)
+                                                                         dict(label="Pause", method="animate", args=[[None], \
+                                                                         dict(fromcurrent=True, mode='immediate', transition= {'duration': 0}, frame=dict(redraw=True, duration=0))])])],
+                              margin=dict(r=20, l=10, b=10, t=10), sliders=sliders)
             fig.show()
\ No newline at end of file