diff --git a/exploration/visualization_experiment.ipynb b/exploration/visualization_experiment.ipynb
index b38f28b..3008dc3 100644
--- a/exploration/visualization_experiment.ipynb
+++ b/exploration/visualization_experiment.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 93,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -15,7 +15,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 94,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -24,7 +24,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 95,
    "metadata": {},
    "outputs": [
     {
@@ -180,458 +180,59 @@
        "      <td>2018-05-08 07:28:57.759737</td>\n",
        "      <td>1</td>\n",
        "    </tr>\n",
-       "    <tr>\n",
-       "      <th>5</th>\n",
-       "      <td>9</td>\n",
-       "      <td>Hinge</td>\n",
-       "      <td>https://grabcad.com/library/8-screw-post-strap...</td>\n",
-       "      <td>img/0008-hinge.jpg</td>\n",
-       "      <td>0</td>\n",
-       "      <td>1</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>1</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>2018-05-08 07:30:03.885253</td>\n",
-       "      <td>1</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>6</th>\n",
-       "      <td>10</td>\n",
-       "      <td>Coil spring</td>\n",
-       "      <td>https://grabcad.com/library/spring-274</td>\n",
-       "      <td>img/0011-coil-spring.jpg</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>1</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>1</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>2018-05-08 07:30:46.681121</td>\n",
-       "      <td>10</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>7</th>\n",
-       "      <td>11</td>\n",
-       "      <td>Belt drive (crossed)</td>\n",
-       "      <td>http://507movements.com/mm_002.html</td>\n",
-       "      <td>img/0016-beltdrive-crossed.jpg</td>\n",
-       "      <td>1</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>1</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>2018-05-08 07:31:20.185759</td>\n",
-       "      <td>1</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>8</th>\n",
-       "      <td>12</td>\n",
-       "      <td>Pulley (quarter turn)</td>\n",
-       "      <td>http://507movements.com/mm_003.html</td>\n",
-       "      <td>img/0017-pulley-quarterturn.jpg</td>\n",
-       "      <td>1</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>1</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>2018-05-08 07:31:54.990798</td>\n",
-       "      <td>1</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>9</th>\n",
-       "      <td>13</td>\n",
-       "      <td>Chain drive</td>\n",
-       "      <td>https://grabcad.com/library/chainsprocket-1</td>\n",
-       "      <td>img/0015-chaindrive.jpg</td>\n",
-       "      <td>1</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>1</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>2018-05-08 09:11:27.749600</td>\n",
-       "      <td>1</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>10</th>\n",
-       "      <td>14</td>\n",
-       "      <td>Wheel</td>\n",
-       "      <td>https://edu.glogster.com/glog/compare-contrast...</td>\n",
-       "      <td>img/0013-wheel.jpg</td>\n",
-       "      <td>1</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>1</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>2018-05-08 09:12:14.275722</td>\n",
-       "      <td>1</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>11</th>\n",
-       "      <td>15</td>\n",
-       "      <td>Lever</td>\n",
-       "      <td>https://www.youtube.com/watch?v=fQXX0DXG920</td>\n",
-       "      <td>img/0009-lever.jpg</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>1</td>\n",
-       "      <td>1</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>1</td>\n",
-       "      <td>1</td>\n",
-       "      <td>0</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>2018-05-08 09:13:02.563654</td>\n",
-       "      <td>2</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>12</th>\n",
-       "      <td>16</td>\n",
-       "      <td>Slider</td>\n",
-       "      <td>https://grabcad.com/library/osgr10-rail-1300mm...</td>\n",
-       "      <td>img/0007-slider_GWwaLlM.jpg</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>1</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>1</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>2018-05-08 09:14:57.716181</td>\n",
-       "      <td>1</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>13</th>\n",
-       "      <td>17</td>\n",
-       "      <td>Coil spring damping</td>\n",
-       "      <td>https://grabcad.com/library/spring-274</td>\n",
-       "      <td>img/0012-coil-spring-damping.jpg</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>1</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>2018-05-08 09:16:10.649053</td>\n",
-       "      <td>0</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>14</th>\n",
-       "      <td>18</td>\n",
-       "      <td>Worm drive</td>\n",
-       "      <td>https://grabcad.com/library/customisable-worm-...</td>\n",
-       "      <td>img/0001-wormdrive.jpg</td>\n",
-       "      <td>1</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>1</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>2018-05-08 09:20:15.695198</td>\n",
-       "      <td>100</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>15</th>\n",
-       "      <td>19</td>\n",
-       "      <td>Rack and pinion</td>\n",
-       "      <td>https://grabcad.com/library/rack-and-pinion-22</td>\n",
-       "      <td>img/0006-rack-and-pinion_VVFC1P5.jpg</td>\n",
-       "      <td>1</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>1</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>2018-05-08 09:20:48.033098</td>\n",
-       "      <td>20</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>16</th>\n",
-       "      <td>25</td>\n",
-       "      <td>Planetary gear</td>\n",
-       "      <td>https://en.wikipedia.org/wiki/Epicyclic_gearing</td>\n",
-       "      <td>img/planetaire-tandwielkast-principe_merf23O.gif</td>\n",
-       "      <td>1</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>2018-05-29 13:25:26.414873</td>\n",
-       "      <td>3</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>17</th>\n",
-       "      <td>26</td>\n",
-       "      <td>right angle pulleys</td>\n",
-       "      <td>http://507movements.com/mm_003.html</td>\n",
-       "      <td>img/Screenshot_2018-05-31_15.08.10.png</td>\n",
-       "      <td>0</td>\n",
-       "      <td>1</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>1</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>2018-05-31 13:08:35.102118</td>\n",
-       "      <td>1</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>18</th>\n",
-       "      <td>27</td>\n",
-       "      <td>capstan crossed belt</td>\n",
-       "      <td>http://507movements.com/mm_004.html</td>\n",
-       "      <td>img/Screenshot_2018-05-31_15.14.40.png</td>\n",
-       "      <td>1</td>\n",
-       "      <td>1</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>1</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>2018-05-31 13:14:57.957170</td>\n",
-       "      <td>10</td>\n",
-       "    </tr>\n",
        "  </tbody>\n",
        "</table>\n",
        "</div>"
       ],
       "text/plain": [
-       "    id                       name  \\\n",
-       "0    3                Bevel gears   \n",
-       "1    4  Belt drive (quarter turn)   \n",
-       "2    6          Two stage gearbox   \n",
-       "3    7               Cam follower   \n",
-       "4    8          Belt drive (flat)   \n",
-       "5    9                      Hinge   \n",
-       "6   10                Coil spring   \n",
-       "7   11       Belt drive (crossed)   \n",
-       "8   12      Pulley (quarter turn)   \n",
-       "9   13                Chain drive   \n",
-       "10  14                      Wheel   \n",
-       "11  15                      Lever   \n",
-       "12  16                     Slider   \n",
-       "13  17        Coil spring damping   \n",
-       "14  18                 Worm drive   \n",
-       "15  19            Rack and pinion   \n",
-       "16  25             Planetary gear   \n",
-       "17  26        right angle pulleys   \n",
-       "18  27       capstan crossed belt   \n",
-       "\n",
-       "                                                 link  \\\n",
-       "0   https://grabcad.com/library/parametric-bevel-g...   \n",
-       "1         https://www.youtube.com/watch?v=RpVSn_ZZCOI   \n",
-       "2        https://grabcad.com/library/2-stage-gear-box   \n",
-       "3     https://grabcad.com/library/cam-and-follower-13   \n",
-       "4                 http://507movements.com/mm_001.html   \n",
-       "5   https://grabcad.com/library/8-screw-post-strap...   \n",
-       "6              https://grabcad.com/library/spring-274   \n",
-       "7                 http://507movements.com/mm_002.html   \n",
-       "8                 http://507movements.com/mm_003.html   \n",
-       "9         https://grabcad.com/library/chainsprocket-1   \n",
-       "10  https://edu.glogster.com/glog/compare-contrast...   \n",
-       "11        https://www.youtube.com/watch?v=fQXX0DXG920   \n",
-       "12  https://grabcad.com/library/osgr10-rail-1300mm...   \n",
-       "13             https://grabcad.com/library/spring-274   \n",
-       "14  https://grabcad.com/library/customisable-worm-...   \n",
-       "15     https://grabcad.com/library/rack-and-pinion-22   \n",
-       "16    https://en.wikipedia.org/wiki/Epicyclic_gearing   \n",
-       "17                http://507movements.com/mm_003.html   \n",
-       "18                http://507movements.com/mm_004.html   \n",
+       "   id                       name  \\\n",
+       "0   3                Bevel gears   \n",
+       "1   4  Belt drive (quarter turn)   \n",
+       "2   6          Two stage gearbox   \n",
+       "3   7               Cam follower   \n",
+       "4   8          Belt drive (flat)   \n",
        "\n",
-       "                                               image  inputR1  inputR2  \\\n",
-       "0                            img/0002-bevelgears.jpg        1        0   \n",
-       "1                 img/0003-beltdrive-quarterturn.jpg        1        0   \n",
-       "2                      img/0005-twostage-gearbox.jpg        1        0   \n",
-       "3                          img/0010-cam-follower.jpg        1        0   \n",
-       "4                        img/0014-beltdrive-flat.jpg        1        0   \n",
-       "5                                 img/0008-hinge.jpg        0        1   \n",
-       "6                           img/0011-coil-spring.jpg        0        0   \n",
-       "7                     img/0016-beltdrive-crossed.jpg        1        0   \n",
-       "8                    img/0017-pulley-quarterturn.jpg        1        0   \n",
-       "9                            img/0015-chaindrive.jpg        1        0   \n",
-       "10                                img/0013-wheel.jpg        1        0   \n",
-       "11                                img/0009-lever.jpg        0        0   \n",
-       "12                       img/0007-slider_GWwaLlM.jpg        0        0   \n",
-       "13                  img/0012-coil-spring-damping.jpg        0        0   \n",
-       "14                            img/0001-wormdrive.jpg        1        0   \n",
-       "15              img/0006-rack-and-pinion_VVFC1P5.jpg        1        0   \n",
-       "16  img/planetaire-tandwielkast-principe_merf23O.gif        1        0   \n",
-       "17            img/Screenshot_2018-05-31_15.08.10.png        0        1   \n",
-       "18            img/Screenshot_2018-05-31_15.14.40.png        1        1   \n",
+       "                                                link  \\\n",
+       "0  https://grabcad.com/library/parametric-bevel-g...   \n",
+       "1        https://www.youtube.com/watch?v=RpVSn_ZZCOI   \n",
+       "2       https://grabcad.com/library/2-stage-gear-box   \n",
+       "3    https://grabcad.com/library/cam-and-follower-13   \n",
+       "4                http://507movements.com/mm_001.html   \n",
        "\n",
-       "    inputR3  inputT1  inputT2  inputT3  outputR1  outputR2  outputR3  \\\n",
-       "0         0        0        0        0         0         1         0   \n",
-       "1         0        0        0        0         0         1         0   \n",
-       "2         0        0        0        0         1         0         0   \n",
-       "3         0        0        0        0         0         0         0   \n",
-       "4         0        0        0        0         1         0         0   \n",
-       "5         0        0        0        0         0         1         0   \n",
-       "6         0        1        0        0         0         0         0   \n",
-       "7         0        0        0        0         1         0         0   \n",
-       "8         0        0        0        0         0         1         0   \n",
-       "9         0        0        0        0         1         0         0   \n",
-       "10        0        0        0        0         0         0         0   \n",
-       "11        0        1        1        0         0         0         0   \n",
-       "12        0        1        0        0         0         0         0   \n",
-       "13        0        1        0        0         0         0         0   \n",
-       "14        0        0        0        0         0         1         0   \n",
-       "15        0        0        0        0         0         0         0   \n",
-       "16        0        0        0        0         0         0         0   \n",
-       "17        0        0        0        0         1         0         0   \n",
-       "18        0        0        0        0         0         1         0   \n",
+       "                                image  inputR1  inputR2  inputR3  inputT1  \\\n",
+       "0             img/0002-bevelgears.jpg        1        0        0        0   \n",
+       "1  img/0003-beltdrive-quarterturn.jpg        1        0        0        0   \n",
+       "2       img/0005-twostage-gearbox.jpg        1        0        0        0   \n",
+       "3           img/0010-cam-follower.jpg        1        0        0        0   \n",
+       "4         img/0014-beltdrive-flat.jpg        1        0        0        0   \n",
        "\n",
-       "    outputT1  outputT2  outputT3  comments                     created  \\\n",
-       "0          0         0         0       NaN  2018-05-08 07:25:40.627309   \n",
-       "1          0         0         0       NaN  2018-05-08 07:26:13.541636   \n",
-       "2          0         0         0       NaN  2018-05-08 07:27:38.854208   \n",
-       "3          1         0         0       NaN  2018-05-08 07:28:21.610800   \n",
-       "4          0         0         0       NaN  2018-05-08 07:28:57.759737   \n",
-       "5          0         0         0       NaN  2018-05-08 07:30:03.885253   \n",
-       "6          1         0         0       NaN  2018-05-08 07:30:46.681121   \n",
-       "7          0         0         0       NaN  2018-05-08 07:31:20.185759   \n",
-       "8          0         0         0       NaN  2018-05-08 07:31:54.990798   \n",
-       "9          0         0         0       NaN  2018-05-08 09:11:27.749600   \n",
-       "10         1         0         0       NaN  2018-05-08 09:12:14.275722   \n",
-       "11         1         1         0       NaN  2018-05-08 09:13:02.563654   \n",
-       "12         1         0         0       NaN  2018-05-08 09:14:57.716181   \n",
-       "13         0         0         0       NaN  2018-05-08 09:16:10.649053   \n",
-       "14         0         0         0       NaN  2018-05-08 09:20:15.695198   \n",
-       "15         1         0         0       NaN  2018-05-08 09:20:48.033098   \n",
-       "16         0         0         0       NaN  2018-05-29 13:25:26.414873   \n",
-       "17         0         0         0       NaN  2018-05-31 13:08:35.102118   \n",
-       "18         0         0         0       NaN  2018-05-31 13:14:57.957170   \n",
+       "   inputT2  inputT3  outputR1  outputR2  outputR3  outputT1  outputT2  \\\n",
+       "0        0        0         0         1         0         0         0   \n",
+       "1        0        0         0         1         0         0         0   \n",
+       "2        0        0         1         0         0         0         0   \n",
+       "3        0        0         0         0         0         1         0   \n",
+       "4        0        0         1         0         0         0         0   \n",
        "\n",
-       "    transmission  \n",
-       "0             10  \n",
-       "1              1  \n",
-       "2             20  \n",
-       "3              1  \n",
-       "4              1  \n",
-       "5              1  \n",
-       "6             10  \n",
-       "7              1  \n",
-       "8              1  \n",
-       "9              1  \n",
-       "10             1  \n",
-       "11             2  \n",
-       "12             1  \n",
-       "13             0  \n",
-       "14           100  \n",
-       "15            20  \n",
-       "16             3  \n",
-       "17             1  \n",
-       "18            10  "
+       "   outputT3  comments                     created  transmission  \n",
+       "0         0       NaN  2018-05-08 07:25:40.627309            10  \n",
+       "1         0       NaN  2018-05-08 07:26:13.541636             1  \n",
+       "2         0       NaN  2018-05-08 07:27:38.854208            20  \n",
+       "3         0       NaN  2018-05-08 07:28:21.610800             1  \n",
+       "4         0       NaN  2018-05-08 07:28:57.759737             1  "
       ]
      },
-     "execution_count": 3,
+     "execution_count": 95,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
-    "df"
+    "df.head()"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 96,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -645,14 +246,35 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 97,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "inRot = [df[col] for col in inputRotations]\n",
+    "inTrans = [df[col] for col in inputTranslations]\n",
+    "inAny = inRot + inTrans\n",
+    "outRot = [df[col] for col in outputRotations]\n",
+    "outTrans = [df[col] for col in outputTranslations]\n",
+    "outAny = outRot + outTrans"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Total Number of Output Rotations depending on ..."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 98,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAEKCAYAAAD9xUlFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4yLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvNQv5yAAAF5pJREFUeJzt3Xu0JWV55/Hvj5vYChrTnYwC3Qcd\nMspSw+UMeBsvM2oAIxh1EAwZIU7azBI1ccYR44QgyqioZA0OMRLvdivB5a1VpGOMt4lG6eYmNIMi\nobVbFLyMYlAUeeaPXV1sDn3OqXM8tTe9z/ez1l5711tvVT311urzdNVb9VaqCkmSAHYbdwCSpHsO\nk4IkqWVSkCS1TAqSpJZJQZLUMilIklomBUlSy6QgSWqZFCRJrT3GHcBCrVy5sqampsYdhiTtUjZv\n3vy9qlo1X71dLilMTU2xadOmcYchSbuUJFu71PPykSSpZVKQJLVMCpKklklBktQyKUiSWr0lhSTv\nSHJTkqtmmZ8k5ya5LsmVSQ7rKxbWr4epKdhtt8H3+vX9LHNPjWsU+7IYC41rubfXYoyijZezUbXX\nKI9LVfXyAR4PHAZcNcv8Y4BPAgEeBXy5y3oPP/zwWpB166pWrKiCOz8rVgzKl3KZhRpVXKPYl8VY\naFzLvb0WYxRtvJyNqr2WaDvApuryt7tLpcV+gKk5ksJbgROHpq8FHjjfOhecFNasuWtj7visWbO0\nyyzUqOIaxb4sxkLjWu7ttRijaOPlbFTttUTb6ZoUMqjbjyRTwMer6uE7mfdx4HVV9X+a6U8DL6+q\nuz2ZlmQtsBZg9erVh2/d2ukZjIHddhs04d1XCnfcsXTLLNSo4hrFvizGQuNa7u21GKNo4+VsVO21\nRNtJsrmqpufd3IKCG5OqOr+qpqtqetWqeZ/SvqvVqxdWvthlFmpUcY1iXxZjoXEt9/ZajFG08XI2\nqvYa8XEZZ1LYDhwwNL1/U7a0zjoLVqy4a9mKFYPypVzmnhrXKPZlMRYa13Jvr8UYRRsvZ6Nqr1Ef\nly7XmBb7Ye4+hadx147mr3RZ54L7FKoGHTJr1lQlg+8uHTSLWeaeGtco9mUxFhrXcm+vxRhFGy9n\no2qvJdgO4+5TSPJ+4InASuC7wF8AezaJ6K+TBPjfwFHArcAptZP+hJmmp6fLAfEkaWG69in0Nkpq\nVZ04z/wCXtjX9iVJC7dLdDRLkkbDpCBJapkUJEktk4IkqWVSkCS1TAqSpJZJQZLUMilIklomBUlS\ny6QgSWqZFCRJLZOCJKllUpAktUwKkqSWSUGS1DIpSJJaJgVJUsukIElqmRQkSS2TgiSpZVKQJLVM\nCpKklklBktQyKUiSWiYFSVLLpCBJapkUJEktk4IkqWVSkCS1TAqSpFavSSHJUUmuTXJdktN2Mn91\nks8kuSzJlUmO6TMeSdLceksKSXYHzgOOBg4GTkxy8Ixq/wO4sKoOBU4A/qqveCRJ8+vzTOEI4Lqq\nur6qfg5cABw3o04B+za/7wd8u8d4JEnz2KPHde8HfGtoehtw5Iw6ZwB/l+RFwH2AJ/cYjyRpHgs6\nU0iyW5J956/Z2YnAu6pqf+AY4L1J7hZTkrVJNiXZdPPNNy/h5iVJw+ZNCknel2TfJPcBrgK2JHlZ\nh3VvBw4Ymt6/KRv2fOBCgKr6ErA3sHLmiqrq/KqarqrpVatWddi0JGkxupwpHFxVPwaeAXwSOBD4\ngw7LXQIclOTAJHsx6EjeMKPON4H/AJDkYQySgqcCkjQmXZLCnkn2ZJAUNlTVLxh0EM+pqm4HTgU2\nAtcwuMvo6iRnJjm2qfZfgT9KcgXwfuDkqpp33ZKkfnTpaH4rcANwBfD5JGuAH3dZeVVdBFw0o+z0\nod9bgMd2DVaS1K95k0JVnQucO1S0NcmT+gtJkjQusyaFJCdV1bokL52lyjk9xSRJGpO5zhTu03zv\nM4pAJEnjN2tSqKq3Nt+vmjmvuZtIkjRhujyn8NkkU0PT/5bB7aaSpAnT5e6j1wIXJzmXwdAVRwOn\n9BqVJGksutx9tDHJHwOfAr4HHFpV3+k9MknSyHW5fPTnwJuBxzMYwO6zSZ7Wc1ySpDHocvno14Ej\nquqnwJeSXAy8DfhEr5FJkkauy+WjP5kxvRV4Sm8RSZLGZt6kkGQV8HIGb0/be0d5Vf37HuOSJI1B\nlwHx1jMY0O5A4FUMxkHyllRJmkBdksKvV9XbgV9U1eeq6g8BzxIkaQJ16Wj+RfN9Y3PX0beBB/QX\nkiRpXLokhdckuR+Ddx+8GdgX+NNeo5IkjUWXu48+3vz8EeCQ2ZI0wbr0KUiSlgmTgiSpZVKQJLVm\nTQpJ3pzkbi/YSfLQJH/fb1iSpHGY60zhO8DlSZ4LkGRFkrOBjwHnjSI4SdJozZoUquosBmMc/X6S\nzwNXArcDv11VHx5RfJKkEZqvT+GO5nsPYHfgmqq6td+QJEnjMlefwp8Dfw+8p6oeAzwOOC7J55Ic\nPKoAJUmjM9fDaysZvGXtFoCq2g48O8nRwAeBh40gPknSCM3Vp/CSHQlhRvkngUN6jUqSNBaLek6h\nqm5b6kAkSePnw2uSpJZJQZLU6vI6znsBzwKmhutX1Zn9hSVJGocu71P4KINhszcD9iVI0gTrkhT2\nr6qjFrPyJEcB/4vBg29vq6rX7aTO8cAZQAFXVNVzF7MtSdKvrktS+GKSR1TVVxey4iS7Mxgj6SnA\nNuCSJBuqastQnYOAVwCPraofJvmNhWxDkrS0uiSFxwEnJ/lnBpePAlRVPXKe5Y4Arquq6wGSXAAc\nB2wZqvNHwHlV9UMGK71pgfFLkpZQl6Rw9CLXvR/wraHpbcCRM+r8FkCSf2RwiemMqrp45oqSrAXW\nAqxevXqR4UiS5jPvLalVtRW4P/D05nP/pmwp7AEcBDwROBH4myT330kM51fVdFVNr1q1aok2LUma\nad6kkOQlwHrgN5rPuiQv6rDu7cABQ9P7N2XDtgEbquoXVfXPwNcYJAlJ0hh0eXjt+cCRVXV6VZ0O\nPIpBX8B8LgEOSnJgkr2AE4ANM+p8hMFZAklWMricdH3H2CVJS6xLUgjwy6HpXzZlc6qq24FTgY3A\nNcCFVXV1kjOTHNtU2wh8P8kW4DPAy6rq+wvZAUnS0unS0fxO4MtJdrxt7RnA27usvKouAi6aUXb6\n0O8CXtp8JEljNm9SqKpzknyWwa2pAKdU1WW9RiVJGosuZwpU1aXApT3HIkkaM0dJlSS1TAqSpJZJ\nQZLU6vLw2jOTfD3Jj5L8OMktSX48iuAkSaPVpaP5bODpVXVN38FIksary+Wj75oQJGl56HKmsCnJ\n3zIYkqJ981pVfai3qCRJY9ElKewL3Ao8daisAJOCJE2YLk80nzKKQCRJ49fl7qP9k3w4yU3N54NJ\n9h9FcJKk0erS0fxOBkNeP6j5fKwpkyRNmC5JYVVVvbOqbm8+7wJ8/ZkkTaAuSeH7SU5KsnvzOQnw\nnQeSNIG6JIU/BI4HvgPcCDwbsPNZkiZQl7uPtgLHzldPkrTrmzUpJPnvVXV2kjczeC7hLqrqxb1G\nJkkaubnOFHYMbbFpFIFIksZv1qRQVR9rft5aVR8YnpfkP/YalSRpLLp0NL+iY5kkaRc3V5/C0cAx\nwH5Jzh2atS9we9+BSZJGb64+hW8z6E84Ftg8VH4L8Kd9BiVJGo+5+hSuAK5I8r6q+sUIY5IkjUmX\nobOnkrwWOBjYe0dhVT24t6gkSWPRdUC8tzDoR3gS8B5gXZ9BSZLGo0tSuHdVfRpIVW2tqjOAp/Ub\nliRpHLpcProtyW7A15OcCmwH7ttvWJKkcehypvASYAXwYuBw4CTgP/UZlCRpPLokhamq+klVbauq\nU6rqWcDqvgOTJI1er080JzkqybVJrkty2hz1npWkkkx3Wa8kqR+9PdGcZHfgPOApwDbgkiQbqmrL\njHr7MLhE9eWFhy9JWkpznSnseKL5ZwyeaN7x2QD8Tod1HwFcV1XXV9XPgQuA43ZS79XA65vtSJLG\nqNMTzUCA32pmXdvxCef9gG8NTW8DjhyukOQw4ICq+kSSly0ocknSkutyS+pjGDywdgOD5HBAkudV\n1ed/lQ03t7meA5zcoe5aYC3A6tX2cUtSX7p0NJ8DPLWqnlBVj2dw6egvOyy3HThgaHr/pmyHfYCH\nA59NcgPwKGDDzjqbq+r8qpququlVq1Z12LQkaTG6JIU9q+raHRNV9TVgzw7LXQIclOTAJHsBJzDo\nj9ixnh9V1cqqmqqqKeCfgGOryje9SdKYdLl8tCnJ27hzvKPfp8MrOqvq9uYJ6I3A7sA7qurqJGcC\nm6pqw9xrkCSNWqpq7grJvYAXAo9rir4A/FVV3dZzbDs1PT1dmzZ5MiFJC5Fkc1XN+yzYvGcKzR//\nc5rPjpU/FvjHXylCSdI9zlwPr+0OHM/g1tKLq+qqJL8L/Blwb+DQ0YQoSRqVuc4U3s7g7qGvAOcm\n+TYwDZxWVR8ZRXCSpNGaKylMA4+sqjuS7A18B3hIVX1/NKFJkkZtrltSf15VdwBU1c+A600IkjTZ\n5jpTeGiSK5vfAR7STAeoqnpk79FJkkZqrqTwsJFFIUm6R5hrQLytowxEkjR+XYa5kCQtEyYFSVJr\n3qSQ5CVdyiRJu74uZwrP20nZyUschyTpHmCuYS5OBJ4LHJhkeETTfYAf9B2YJGn05rol9YvAjcBK\n4E1D5bcAV+50CUnSLm2+W1K3Ao8eXTiSpHGad+jsJLcAO166sBeDt679S1Xt22dgkqTR6/I+hX12\n/E4S4DgG71OWJE2YBT2nUAMfAX6np3gkSWPU5fLRM4cmd2MwpPbPeotIkjQ28yYF4OlDv28HbmBw\nCUmSNGG69CmcMopAJEnj12WYiwcn+ViSm5PclOSjSR48iuAkSaPVpaP5fcCFwAOBBwEfAN7fZ1CS\npPHokhRWVNV7q+r25rMO2LvvwCRJo9elo/mTSU4DLmDwENtzgIuSPACgqhwHSZImRJekcHzz/YIZ\n5ScwSBL2L0jShOhy99GBowhEkjR+Xc4USPIYYGq4flW9p6eYJElj0uWJ5vcCDwEuB37ZFBdgUpCk\nCdPlTGEaOLiqat6akqRdWpdbUq8C/lXfgUiSxq9LUlgJbEmyMcmGHZ8uK09yVJJrk1zX3NY6c/5L\nk2xJcmWSTydZs9AdkCQtnS6Xj85YzIqT7A6cBzwF2AZckmRDVW0ZqnYZMF1Vtyb5L8DZDJ6DkCSN\nQZdbUj+3yHUfAVxXVdcDJLmAweiqbVKoqs8M1f8n4KRFbkuStARmTQozXsN5l1kM3rcz3+s49wO+\nNTS9DThyjvrPBz45SyxrgbUAq1evnmezkqTFmjUpDL+Gs29JTmJwl9MTZonlfOB8gOnpae+CkqSe\ndHp4bZG2AwcMTe/flN1FkicDrwSeUFW39RiPJGkeC3pH8wJdAhyU5MAkezEYK+kudy0lORR4K3Bs\nVd3UYyySpA56SwpVdTtwKrARuAa4sKquTnJmkmObam8A7gt8IMnlXW91lST1o8/LR1TVRcBFM8pO\nH/r95D63L0lamD4vH0mSdjEmBUlSy6QgSWqZFCRJLZOCJKllUpAktUwKkqSWSUGS1DIpSJJaJgVJ\nUsukIElqmRQkSS2TgiSpZVKQJLVMCpKklklBktQyKUiSWiYFSVLLpCBJapkUJEktk4IkqWVSkCS1\nTAqSpJZJQZLUMilIklomBUlSy6QgSWqZFCRJLZOCJKllUpAktXpNCkmOSnJtkuuSnLaT+fdK8rfN\n/C8nmeozHknS3HpLCkl2B84DjgYOBk5McvCMas8HflhV/xr4S+D1fcWjBVi/HqamYLfdBt/r1/ez\nzKQYVXst5zaeJPf041hVvXyARwMbh6ZfAbxiRp2NwKOb33sA3wMy13oPP/zwUo/WratasaIK7vys\nWDEoX8plJsWo2ms5t/EkGeNxBDZVh7/dGdRdekmeDRxVVf+5mf4D4MiqOnWozlVNnW3N9DeaOt+b\nbb3T09O1adOmXmIWg/+5bN169/I1a+CGG5ZumUkxqvZazm08ScZ4HJNsrqrp+ertEh3NSdYm2ZRk\n08033zzucCbbN7+5sPLFLjMpRtVey7mNJ8kucBz7TArbgQOGpvdvynZaJ8kewP2A789cUVWdX1XT\nVTW9atWqnsIVAKtXL6x8sctMilG113Ju40myCxzHPpPCJcBBSQ5MshdwArBhRp0NwPOa388G/qH6\nup6lbs46C1asuGvZihWD8qVcZlKMqr2WcxtPkl3hOHbpeFjsBzgG+BrwDeCVTdmZwLHN772BDwDX\nAV8BHjzfOu1oHoF166rWrKlKBt9dOsEWs8ykGFV7Lec2niRjOo6Mu6O5L3Y0S9LCTVRHsyRpNEwK\nkqSWSUGS1DIpSJJaJgVJUmuXu/soyc3ATp4Tv0dZyWAcp+XIfV++lvP+7wr7vqaq5n36d5dLCruC\nJJu63Po1idz35bnvsLz3f5L23ctHkqSWSUGS1DIp9OP8cQcwRu778rWc939i9t0+BUlSyzMFSVLL\npLCEktyQ5KtJLk8y8aP2JXlHkpuaN+jtKHtAkk8l+Xrz/WvjjLEvs+z7GUm2N8f/8iTHjDPGviQ5\nIMlnkmxJcnWSlzTly+XYz7b/E3H8vXy0hJLcAEzXHK8TnSRJHg/8BHhPVT28KTsb+EFVvS7JacCv\nVdXLxxlnH2bZ9zOAn1TVG8cZW9+SPBB4YFVdmmQfYDPwDOBklsexn23/j2cCjr9nClq0qvo88IMZ\nxccB725+v5vBP5aJM8u+LwtVdWNVXdr8vgW4BtiP5XPsZ9v/iWBSWFoF/F2SzUnWjjuYMfnNqrqx\n+f0d4DfHGcwYnJrkyuby0kRePhmWZAo4FPgyy/DYz9h/mIDjb1JYWo+rqsOAo4EXNpcYlq3mbU/L\n6frkW4CHAIcANwJvGm84/UpyX+CDwJ9U1Y+H5y2HY7+T/Z+I429SWEJVtb35vgn4MHDEeCMai+82\n11x3XHu9aczxjExVfbeqfllVdwB/wwQf/yR7MviDuL6qPtQUL5tjv7P9n5Tjb1JYIknu03Q6keQ+\nwFOBq+ZeaiJtAJ7X/H4e8NExxjJSO/4gNn6PCT3+SQK8Hbimqs4ZmrUsjv1s+z8px9+7j5ZIkgcz\nODsA2AN4X1WdNcaQepfk/cATGYwQ+V3gL4CPABcCqxmMZnt8VU1ch+ws+/5EBpcOCrgBeMHQNfaJ\nkeRxwBeArwJ3NMV/xuC6+nI49rPt/4lMwPE3KUiSWl4+kiS1TAqSpJZJQZLUMilIklomBUlSy6Sg\nXV6SSrJuaHqPJDcn+fgi13dDkpVLFNtFSe6/FOsaWudPmu+pJD9NclmSa5J8JcnJS7ktLT97jDsA\naQn8C/DwJPeuqp8CTwG2jzkmAKqq7+GTv1FVh0L7rMyHkqSq3tnzdjWhPFPQpLgIeFrz+0Tg/Ttm\nNE+bv6P5n/RlSY5ryndP8sYkVzWDmL1oaH0vSnJp836Mhzb1j0jypWYdX0zyb5ryk5N8KMnFzbsE\nzh7a9g1JVjYxfCLJFc32njM0/7XN+PubkhyWZGOSbyT544U0QFVdD7wUePHCm08aMCloUlwAnJBk\nb+CR3DlqJcArgX+oqiOAJwFvaIYiWQtMAYdU1SOB9UPLfK8Z3PAtwH9ryv4v8O+a/5mfDvzPofqH\nAM8BHgE8J8kBM+I7Cvh2Vf128/6Fi4fmfbOqDmHwlOy7gGcDjwJeteBWgEuBhy5iOQnw8pEmRFVd\n2QxjfCKDs4ZhTwWOTbLjj/veDIZieDLw11V1e7OO4SEZdgzythl4ZvP7fsC7kxzEYCiDPYfqf7qq\nfgSQZAuwBvjW0PyvAm9K8nrg41X1haF5G4bq3LcZo/+WJLcluX9V/b+OzQCQBdSV7sYzBU2SDcAb\nGbp01AjwrKo6pPmsrqpr5lnXbc33L7nzP0+vBj7T/E//6QySy8z6M5cBoKq+BhzG4A//a5KcvpNl\n75ixnjtmrqeDQxm89EVaFJOCJsk7gFdV1VdnlG9k0EcQgCSHNuWfAl6QZI+m/AHzrP9+3NmBffJC\nAkvyIODWqloHvIFBglhSzZnSG4E3L/W6tXyYFDQxqmpbVZ27k1mvZnCp58okVzfTAG8DvtmUXwE8\nd55NnA28NsllLPx/8I8AvpLkcgYjqr5mgcvP5iE7bkllMELpud55pF+Fo6RKklqeKUiSWiYFSVLL\npCBJapkUJEktk4IkqWVSkCS1TAqSpJZJQZLU+v9RyOfxIYDd0QAAAABJRU5ErkJggg==\n",
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAEKCAYAAAD9xUlFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n",
       "text/plain": [
-       "<matplotlib.figure.Figure at 0x10b042898>"
+       "<matplotlib.figure.Figure at 0x109d84a90>"
       ]
      },
      "metadata": {},
@@ -660,34 +282,49 @@
     }
    ],
    "source": [
-    "plt.plot(df['id'], df['inputR1'], 'ro')\n",
-    "plt.xlabel('Mechanism ID')\n",
-    "plt.ylabel('Input Rotation on X axis')\n",
+    "totalInputs = reduce((lambda x, y: x + y), inAny)\n",
+    "totalOutputRotations = reduce((lambda x, y: x + y), outRot)\n",
+    "plt.plot(totalInputs, totalOutputRotations, 'ro')\n",
+    "plt.xlabel('totalInputs')\n",
+    "plt.ylabel('totalOutputRotations')\n",
     "plt.show()"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": 99,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAEKCAYAAAD9xUlFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nzMws56RgZma5/wHZKEIC5AMpqAAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x1062e0828>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
-    "inRot = [df[col] for col in inputRotations]\n",
-    "inTrans = [df[col] for col in inputTranslations]\n",
-    "outRot = [df[col] for col in outputRotations]\n",
-    "outTrans = [df[col] for col in outputTranslations]"
+    "totalInputTranslations = reduce((lambda x, y: x + y), inTrans)\n",
+    "totalOutputRotations = reduce((lambda x, y: x + y), outRot)\n",
+    "plt.plot(totalInputTranslations, totalOutputRotations, 'ro')\n",
+    "plt.xlabel('totalInputTranslations')\n",
+    "plt.ylabel('totalOutputRotations')\n",
+    "plt.show()"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": 100,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAEKCAYAAAD9xUlFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ns5yTgpmZ5ZwUzMws56RgZma5/w+qUz/gsaN54wAAAABJRU5ErkJggg==\n",
       "text/plain": [
-       "<matplotlib.figure.Figure at 0x10b1cf8d0>"
+       "<matplotlib.figure.Figure at 0x10a6cf240>"
       ]
      },
      "metadata": {},
@@ -703,85 +340,314 @@
     "plt.show()"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Total Number of Output Translations depending on ..."
+   ]
+  },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 101,
    "metadata": {},
    "outputs": [
     {
      "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAEKCAYAAAD9xUlFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4yLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvNQv5yAAAFstJREFUeJzt3X20ZXV93/H3h8EHqDwYZ2pcPGSo\nRSNaqHpBrFqxagVqoT4L8QFrnSqSKlEjSS2J2LXic6pL0E6ColYhxhg7Riy28VmEMCiCQElnIcgg\nkRENoIBmxm//2Hs2h8u95+5h7j5n7r3v11pn3bN/+3f2/W4Hz+fup98vVYUkSQC7TbsASdKuw1CQ\nJHUMBUlSx1CQJHUMBUlSx1CQJHUMBUlSx1CQJHUMBUlSZ/dpF7CjVq9eXWvXrp12GZK0pFx66aU/\nrqo1C/VbcqGwdu1aNm7cOO0yJGlJSXJ9n36ePpIkdQwFSVLHUJAkdQwFSVLHUJAkdQYLhSQfTnJz\nku/Nsz5J3p9kU5LLkzxuqFpI7v2SpKXi5JNh992b767dd2+WBzLkkcI5wNFj1h8DHNy+1gEfHKSK\n+QLAYJC0FJx8Mnzwg7BtW7O8bVuzPFAwDBYKVfU14CdjuhwPfKwaFwH7JnnYUPVI0pK0fv2Ote+k\naV5T2A+4YWR5c9t2L0nWJdmYZOOWLVsmUpwk7RK2HyH0bd9JS+JCc1Wtr6qZqppZs2bBp7QlaflY\ntWrH2nfSNEPhRuCAkeX92zZJ0nbr1u1Y+06aZihsAF7W3oV0JHBrVd206L+lasfaJWlXctZZ8JrX\n3H1ksGpVs3zWWYP8usEGxEtyLnAUsDrJZuAPgPsBVNWHgPOBY4FNwB3AK4aqxQCQtKSdddZgITDb\nYKFQVScssL6A1w71+yVJO25JXGiWJE2GoSBJ6hgKkqSOoSBJ6hgKkqSOoSBJ6hgKkqSOoSBJ6hgK\nkqSOoSBJ6hgKkqSOoSBJ6hgKkqSOoSBJ6hgKkqSOoSBJ6hgKkqSOoSBJ6hgKkqSOoSBJ6hgKkqSO\noSBJ6hgKkqSOoSBJ6hgKkqSOoSBJ6hgKkqSOoSBJ6hgKkqSOoSBJ6gwaCkmOTnJNkk1JTptj/YFJ\nvpzkO0kuT3LskPVIksYbLBSSrALOBI4BDgFOSHLIrG5vAT5VVY8FXgycNVQ9kqSFDXmkcASwqaqu\nrapfAucBx8/qU8De7ft9gB8OWI8kaQG7D7jt/YAbRpY3A0+Y1ecPgS8m+W3gHwHPGLAeSdICpn2h\n+QTgnKraHzgW+HiSe9WUZF2SjUk2btmyZeJFStJKMWQo3AgcMLK8f9s26pXApwCq6lvAA4HVszdU\nVeuraqaqZtasWTNQuZKkIUPhEuDgJAcluT/NheQNs/r8AHg6QJJH0YSChwKSNCWDhUJVbQVOAS4A\nrqa5y+jKJGckOa7t9gbgVUm+C5wLnFRVNVRNkqTxhrzQTFWdD5w/q+30kfdXAU8asgZJUn+9QiHJ\nEcDa0f5V9cmBapIkTcmCoZDkHJqHzy4DtrXNBRgKkrTM9DlSOBI4pKp+NXQxkqTp6nOh+UrA+0Al\naQXoc6SwD3BVkouAX2xvrKrnDlaVJGkq+oTCHw1ehSRpl7BgKFTVXydZDcy0TRur6sfDliVJmoYF\nrykkeR7wbeClwMuAjUmeM3RhkqTJ63P66HTg8Kr6EUCShwJfBP5yyMIkSZPX5+6j3bYHQuvmnp+T\nJC0xfY4Uvpjk8zRjE0EzsN0Fw5UkSZqWPqHwRuCF3D1G0UeBTw9WkSRpavrcfVTAn7UvSdIyNm8o\nJPlqVT01yU9pxjrqVtFkxa8NXp0kaaLGHSk8rf15r5nQJEnL07x3EY0MgHd2VW0bfQFnT6Y8SdIk\n9bm19NDRhSSrgMOHKUeSNE3zhkKSN7fXEw5N8pP29VOaOZTPn+9zkqSla9yRwjtphsz+4/bnGmB1\nVf1aVb1pEsVJkiZr3gvN7a2oW4E3JdkHeDjwwCTb1184kQolSRPTZzrOfw+8AdgPuILmesJFwFGD\nViZJmrg+F5pPpRk2+7qqegrweOCWQauSJE1Fn1C4q6ruBEhy/6q6EnjksGVJkqahz9hHNyXZF/gc\ncEGSnwCbhy1LkjQNfcY+Oq59+1+SPJ1mzubPD1qVJGkqxo19tPcczZe0Px8A/GKQiiRJUzPuSOFK\nmoHwMse6Ag4cpCJJ0tSMe07hgEkWIkmavgXvPkpyZJI92/cnJHlnEgNDkpahPrekrgfuTHIo8Gbg\nRuDjg1YlSZqKPqGwtR3y4njgA1X1PmCui9CSpCWuTyj8PMmbgJcAn0+yG3C/PhtPcnSSa5JsSnLa\nPH1emOSqJFcm+WT/0iVJi61PKLyI5g6kV1fVTcD+wHsX+lA778KZwDHAIcAJSQ6Z1edg4PeAJ1XV\no4HX71j5kqTF1OfhtR/SDKO9ffkHwEd6bPsIYFNVXQuQ5DyaU1BXjfR5FXBmVf203fbN/UuXJC22\nPncfHZ/k6iS3Jrktye1Jbuux7f2AG0aWN7dtox4BPCLJN5NclOToeWpYl2Rjko1btmzp8aslSfdF\nn9NH7wFeWFX7VNXeVbVXVS3WhebdgYNphuE+AfiTdpyle6iq9VU1U1Uza9asWaRfLUmarU8o/Kiq\nrrgP274RGH2eYf+2bdRmYENV/UNVfR/4W5qQkCRNQZ9RUi9J8gngs4yMd1RVGxb6HHBwkoNowuDF\nwImz+nyW5gjhI0lW05xOurZn7ZKkRdYnFB4C/Ao4bqStgLGhUFVbk5wCXACsAj5cVVcmOQPY2IbK\nBcC/TnIVsA14U1U5gY8kTUma59KWjpmZmdq4ceO0y5CkJSXJpVU1s1C/PnM0PwA4CXg08MDt7VW1\nbmcKlCTtevpcaP4YsBZ4NnAx8HDgrgFrkiRNSZ9QeERV/R7ws6o6Gzia5sE0SdIy0ycU/qH9+fdJ\nHgXsBfzj4UqSJE1Ln7uPzk7yYOAPaO4W2hM4fdCqJElTMTYU2kHtftyOTfRlnIJTkpa1saePqmob\n8PsTqkWSNGV9ril8Mcnrkzwsyd7bX4NXJkmauD7XFF7S/nwDzZPMaX96KkmSlpl5QyHJkVV1UVUd\nMF8fSdLyMu700VkTq0KStEvoc01BkrRCjLum8E+SzDsSalUdN986SdLSNC4UttDMuiZJWiHGhcLt\nVfXViVUiSZq6cdcUroNu6Ox7mKtNkrT0zRsKVfXc9u235lg9V5skaYkb95zCrwP7AXskeSzNQ2sA\ne9MMiidJWmbGXVN4Fs2Ma/sD7x1pvx3HQ5KkZWneUKiqjwIfTfK8qvqLCdYkSZqSPmMfPSbJo2c3\nVtUZA9QjSZqiPqHws5H3D6SZq/nqYcqRJE3TgqFQVfd4gC3Ju2lmYJMkLTP3ZeyjPWkuPkuSlpkF\njxSSXEEzfwLAKmAN4PUESVqG+lxTePbI+63Aj6pq60D1SJKmqM81heuTPA54Ms0RwzeA7wxdmCRp\n8ha8ppDkdOCjwEOA1cA5Sd4ydGGSpMnrc/rot4DDquougCRvBy4D/uuQhUmSJq/P3Uc/pHk+YbsH\nADcOU44kaZr6hMKtwJVJzknyEeB7wN8neX+S94/7YJKjk1yTZFOS08b0e16SSjKzY+VLkhZTn9NH\nf9m+tvtKnw0nWQWcCTwT2AxckmRDVV01q99ewOuAi/tsV5I0nD6hsG9VvW+0IcnrZrfN4QhgU1Vd\n237mPOB44KpZ/d4GvAN4U7+SJUlD6XP66OVztJ3U43P7ATeMLG9u2zrtra4HVNXne2xPkjSwcZPs\nnACcCByUZMPIqr2An+zsL06yG808DSf16LsOWAdw4IEH7uyvliTNY9zpowuBm2ieTRgdFO924PIe\n274ROGBkeX/uedfSXsBjgK8kAfh1YEOS46pq4+iGqmo9sB5gZmamkCQNYtwkO9cD1wNPvI/bvgQ4\nOMlBNGHwYpojj+3bv5UmcABI8hXgjbMDQZI0OX2eaL49yW3t664k25LcttDn2vGRTqEZZvtq4FNV\ndWWSM5Ict/OlS5IWW5+xj/ba/j7NeZ7jgSP7bLyqzgfOn9V2+jx9j+qzTUnScHZoPoVqfBZ41kD1\nSJKmqM98Cs8dWdwNmAHuGqwiSdLU9Hl47d+OvN8KXEdzCkmStMz0uabwikkUIkmavrHXFJIck+Rr\nSX7cvr6a5NhJFSdJmqxxTzS/CviPwO8C258dmAHenmT/9oEySdIyMu700anAk6tqdEiLLyU5hmZK\nTkNBkpaZcaePMisQAKiqWwasR5I0ReNC4bYkh81ubNtuH64kSdK0jDt99AaaAeo+Alzats3QDKX9\nkqELkyRN3rxHClX1DeAJbZ+T2tduwJHtOknSMjP2OYWq+jtgzrGKJEnLz7hbUq8A5pq7IDTDIB06\nWFWSpKkYd6Tw7IlVIUnaJSw0yY4kaQXpM8nOkUkuSfKzJL/sO8mOJGnp6TOfwgeAE4D/B+wB/Afg\nzCGLkiRNR69JdqpqE7CqqrZV1UeAo4ctS5I0DX3mU7gjyf2By5K8E7iJHZyxTZK0NPT5cn9p2+8U\n4OfAAcBzx35CkrQk9QmFf1dVd1XVbVX11qr6HbxdVZKWpT6h8PI52k5a5DokSbuAcU80nwCcCByU\nZMPIqr2Bew2pLUla+sZdaL6Q5qLyauA9I+23A5cPWZQkaToWeqL5euCJSR4KHN6uurqqtk6iOEnS\nZPV5ovkFwN8ALwBeCFyc5PlDFyZJmrw+zym8BTi8qm4GSLIG+D/Ap4csTJI0eX3uPtpteyC0bun5\nOUnSEtPnSOELSS4Azm2XXwScP1xJkqRp6fMXfwH/HTi0fa0ftCJJ0tT0OVJ4ZlW9GfjM9oYkbwXe\nPFhVkqSpmPdIIclr2ik5H5nk8pHX9+n5nEKSo5Nck2RTktPmWP87Sa5qt/vXSX7jvu+KJGlnjTtS\n+CTwBeCPgNEv9NurasEnmpOsopl34ZnAZuCSJBuq6qqRbt8BZqrqjiSvAd5Jc81CkjQF4x5euxW4\nlWaCnfviCGBTVV0LkOQ84HigC4Wq+vJI/4uAl9zH3yVJWgRD3lq6H3DDyPLmtm0+r6Q5MrmXJOuS\nbEyyccuWLYtYoiRp1C7xvEGSlwAzwLvmWl9V66tqpqpm1qxZM9niJGkF6XP30X11I82EPNvt37bd\nQ5JnAP8ZeGpV/WLAeiRJCxjySOES4OAkB7XTeb4YGB2CmySPpXkG4rhZT01LkqZgsFBoR1I9BbgA\nuBr4VFVdmeSMJMe13d4FPAj48ySXzZq3QZI0YUOePqKqzmfWkBhVdfrI+2cM+fslSTtml7jQLEna\nNRgKkqSOoSBJ6hgKkqSOoSBJ6hgKkqSOoSBJ6hgKkqSOoSBJ6hgKkqSOoSBJ6hgKkqSOoSBJ6hgK\nkqSOoSBJ6hgKkqSOoSBJ6hgKkqSOoSBJ6hgKkqSOoSBJ6hgKkqSOoSBJ6hgKkqSOoSBJ6hgKkqSO\noSBJ6hgKkqSOoSBJ6hgKkqTOoKGQ5Ogk1yTZlOS0OdY/IMmftesvTrJ2yHokSeMNFgpJVgFnAscA\nhwAnJDlkVrdXAj+tqn8K/DHwjkGK2XNPSO5+7bnnIL9Gkpa6IY8UjgA2VdW1VfVL4Dzg+Fl9jgc+\n2r7/NPD0JFnUKvbcE+68855td95pMEjSHIYMhf2AG0aWN7dtc/apqq3ArcBDFrWK2YGwULskrWBL\n4kJzknVJNibZuGXLlmmXI0nL1pChcCNwwMjy/m3bnH2S7A7sA9wye0NVtb6qZqpqZs2aNQOVK0ka\nMhQuAQ5OclCS+wMvBjbM6rMBeHn7/vnAl6qqFrWKPfbYsXZJWsF2H2rDVbU1ySnABcAq4MNVdWWS\nM4CNVbUBOBv4eJJNwE9ogmNx3XHHvS8277FH0y5JuofBQgGgqs4Hzp/VdvrI+7uAFwxZA2AASFJP\nS+JCsyRpMgwFSVLHUJAkdQwFSVLHUJAkdbLYjwUMLckW4Pr7+PHVwI8XsZylwH1eGdznlWFn9vk3\nqmrBp3+XXCjsjCQbq2pm2nVMkvu8MrjPK8Mk9tnTR5KkjqEgSeqstFBYP+0CpsB9Xhnc55Vh8H1e\nUdcUJEnjrbQjBUnSGMsuFJJ8OMnNSb43z/okeX+STUkuT/K4Sde42Hrs82+1+3pFkguTHDbpGhfb\nQvs80u/wJFuTPH9StQ2lzz4nOSrJZUmuTPLVSdY3hB7/be+T5HNJvtvu8ysmXeNiSnJAki8nuard\nn9fN0WfQ77BlFwrAOcDRY9YfAxzcvtYBH5xATUM7h/H7/H3gqVX1z4C3sTzOxZ7D+H0mySrgHcAX\nJ1HQBJzDmH1Osi9wFnBcVT2aSYxAPLxzGP/v/Frgqqo6DDgKeE87f8tStRV4Q1UdAhwJvDbJIbP6\nDPodtuxCoaq+RjM3w3yOBz5WjYuAfZM8bDLVDWOhfa6qC6vqp+3iRTSz4C1pPf6dAX4b+Avg5uEr\nGl6PfT4R+ExV/aDtv+T3u8c+F7BXkgAPavtunURtQ6iqm6rq2+3724Gruffc9oN+hy27UOhhP+CG\nkeXN3Pt/9OXslcAXpl3E0JLsBzyH5XEk2NcjgAcn+UqSS5O8bNoFTcAHgEcBPwSuAF5XVb+abkmL\nI8la4LHAxbNWDfodNugkO9q1JHkaTSg8edq1TMB/A95cVb9q/ohcEXYHHg88HdgD+FaSi6rqb6db\n1qCeBVwG/Cvg4cD/TvL1qrptumXtnCQPojnKff2k92UlhsKNwAEjy/u3bctakkOBPwWOqapbpl3P\nBMwA57WBsBo4NsnWqvrsdMsa1Gbglqr6OfDzJF8DDgOWcyi8Anh7O7f7piTfB34T+JvplnXfJbkf\nTSB8oqo+M0eXQb/DVuLpow3Ay9or+EcCt1bVTdMuakhJDgQ+A7x0mf/V2Kmqg6pqbVWtBT4NnLzM\nAwHgfwJPTrJ7kj2BJ9Cck17OfkBzZESShwKPBK6dakU7ob02cjZwdVW9d55ug36HLbsjhSTn0tyF\nsDrJZuAPgPsBVNWHaOaMPhbYBNxB85fGktZjn08HHgKc1f7lvHWpDyTWY5+XnYX2uaquTvK/gMuB\nXwF/WlVjb9nd1fX4d34bcE6SK4DQnDJcyiOnPgl4KXBFksvatt8HDoTJfIf5RLMkqbMSTx9JkuZh\nKEiSOoaCJKljKEiSOoaCJKljKGjZS7JvkpMX6LM2yYk9trV2+4id7Yikf7VYdY78jqOS/IvF3q7U\nh6GglWBfYGwoAGtpBpTbFRwFGAqaCkNBK8HbgYe38wy8q319r51f4kUjfZ7S9jm1PSL4epJvt6+x\nX9JJ/rAd+/8rSa5N8p/a9rVJ/m+STyS5Osmn26eNSXJdktXt+5n2s2uBVwOntrU8JckL2nq/2w5d\nIQ1m2T3RLM3hNOAxVfXPkzyP5kv3MJoxkS5pv2hPA95YVc8GaL+4n1lVdyU5GDiXZjylcX4TeBqw\nF3BNku0jtD4SeGVVfTPJh2mOWt491waq6rokHwJ+VlXvbmu5AnhWVd3YzpkgDcYjBa00TwbOrapt\nVfUj4KvA4XP0ux/wJ+0X8p8Dsyc6mcvnq+oX7TALNwMPbdtvqKpvtu//Bzs+Su03aYZyeBWwagc/\nK+0QjxSkuZ0K/IjmiGI34K4en/nFyPtt3P3/r9ljyWxf3srdf5g9cL6NVtWrkzwB+DfApUkev0JG\nutUUeKSgleB2mlM6AF8HXpRkVZI1wL+kGWZ5tA/APsBN7YQtL2Xn/kI/MMkT2/cnAt9o319HM/8B\nwPPmqZckD6+qi6vqdGAL9xw2WVpUhoKWvfav6m+2t5I+kWYU0e8CXwJ+t6r+rm3b1l7MPZVmruOX\nJ/kuzbWCn+9ECdfQzLV7NfBg7p4N7q3A+5JspDmy2O5zwHO2X2gG3tVeFP8ecGFbuzQIR0mVBtTe\nTfRXVfWYKZci9eKRgiSp45GCJKnjkYIkqWMoSJI6hoIkqWMoSJI6hoIkqWMoSJI6/x8KZWB2DGau\nzgAAAABJRU5ErkJggg==\n",
       "text/plain": [
-       "[0     0\n",
-       " 1     0\n",
-       " 2     1\n",
-       " 3     0\n",
-       " 4     1\n",
-       " 5     0\n",
-       " 6     0\n",
-       " 7     1\n",
-       " 8     0\n",
-       " 9     1\n",
-       " 10    0\n",
-       " 11    0\n",
-       " 12    0\n",
-       " 13    0\n",
-       " 14    0\n",
-       " 15    0\n",
-       " 16    0\n",
-       " 17    0\n",
-       " 18    0\n",
-       " dtype: int64, 0     0\n",
-       " 1     0\n",
-       " 2     0\n",
-       " 3     0\n",
-       " 4     0\n",
-       " 5     1\n",
-       " 6     0\n",
-       " 7     0\n",
-       " 8     0\n",
-       " 9     0\n",
-       " 10    0\n",
-       " 11    0\n",
-       " 12    0\n",
-       " 13    0\n",
-       " 14    0\n",
-       " 15    0\n",
-       " 16    0\n",
-       " 17    0\n",
-       " 18    1\n",
-       " dtype: int64, 0     0\n",
-       " 1     0\n",
-       " 2     0\n",
-       " 3     0\n",
-       " 4     0\n",
-       " 5     0\n",
-       " 6     0\n",
-       " 7     0\n",
-       " 8     0\n",
-       " 9     0\n",
-       " 10    0\n",
-       " 11    0\n",
-       " 12    0\n",
-       " 13    0\n",
-       " 14    0\n",
-       " 15    0\n",
-       " 16    0\n",
-       " 17    0\n",
-       " 18    0\n",
-       " dtype: int64]"
+       "<matplotlib.figure.Figure at 0x10ab3b5c0>"
       ]
      },
-     "execution_count": 9,
      "metadata": {},
-     "output_type": "execute_result"
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "totalInputs = reduce((lambda x, y: x + y), inAny)\n",
+    "totalOutputTranslations = reduce((lambda x, y: x + y), outTrans)\n",
+    "plt.plot(totalInputs, totalOutputTranslations, 'ro')\n",
+    "plt.xlabel('totalInputs')\n",
+    "plt.ylabel('totalOutputTranslation')\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 102,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAEKCAYAAAD9xUlFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nmVnBScHMzApOCmZmVnBSMDOzwv8H8fRx5e3qX/QAAAAASUVORK5CYII=\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x10ac6a748>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "totalInputTranslations = reduce((lambda x, y: x + y), inTrans)\n",
+    "totalOutputTranslations = reduce((lambda x, y: x + y), outTrans)\n",
+    "plt.plot(totalInputTranslations, totalOutputTranslations, 'ro')\n",
+    "plt.xlabel('totalInputTranslations')\n",
+    "plt.ylabel('totalOutputTranslation')\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 103,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAEKCAYAAAD9xUlFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYGZmOScFMzPL/X+iz1zWO5sSZwAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x105f910f0>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "totalInputRotations = reduce((lambda x, y: x + y), inRot)\n",
+    "totalOutputTranslations = reduce((lambda x, y: x + y), outTrans)\n",
+    "plt.plot(totalInputRotations, totalOutputTranslations, 'ro')\n",
+    "plt.xlabel('totalInputRotations')\n",
+    "plt.ylabel('totalOutputTranslation')\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Total Number of Outputs depending on ..."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 104,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYwAAAEKCAYAAAAB0GKPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x10ac84e80>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "totalInputs = reduce((lambda x, y: x + y), inAny)\n",
+    "totalOutputs = reduce((lambda x, y: x + y), outAny)\n",
+    "plt.plot(totalInputs, totalOutputs, 'ro')\n",
+    "plt.xlabel('totalInputs')\n",
+    "plt.ylabel('totalOutputs')\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 105,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYwAAAEKCAYAAAAB0GKPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nE4aZmWX5/wfpR40wvXt5AAAAAElFTkSuQmCC\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x10ac6a710>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "totalInputTranslations = reduce((lambda x, y: x + y), inTrans)\n",
+    "totalOutputs = reduce((lambda x, y: x + y), outAny)\n",
+    "plt.plot(totalInputTranslations, totalOutputs, 'ro')\n",
+    "plt.xlabel('totalInputTranslations')\n",
+    "plt.ylabel('totalOutputs')\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 106,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYwAAAEKCAYAAAAB0GKPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nOGGYmVkWJwwzM8vy/wH8xy6enOb4EgAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x105f910b8>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "totalInputRotations = reduce((lambda x, y: x + y), inRot)\n",
+    "totalOutputs = reduce((lambda x, y: x + y), outAny)\n",
+    "plt.plot(totalInputRotations, totalOutputs, 'ro')\n",
+    "plt.xlabel('totalInputRotations')\n",
+    "plt.ylabel('totalOutputs')\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Misc."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 107,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYwAAAEKCAYAAAAB0GKPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4yLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvNQv5yAAAGYxJREFUeJzt3Xu0HWWd5vHvQ8DLUdRgTtsOkARt\nViveAuzJ4GpmxDUNxhux1dZE7SHd9kQdUbsde8TLgKKMiNgXR1vJ2BF6EaFtBU3bIDIqrTYqnCAC\nAdGIXJK2zZHYXIyXSXjmj6ojxeFc3pPs2vtk7+ezVq296633rfrVqZX9S9VbVa9sExERMZv9+h1A\nRETsG5IwIiKiSBJGREQUScKIiIgiSRgREVEkCSMiIookYURERJEkjIiIKJKEERERRfbvdwDdtGjR\nIi9durTfYURE7DM2bdr0E9ujJXUHKmEsXbqUsbGxfocREbHPkHRbad1ckoqIiCJJGBERUSQJIyIi\niiRhREREkSSMiIgo0lrCkHSopK9IulHSZklvmqKOJH1I0hZJ10k6qrHsJEnfr6eT2oozYp+3YQMs\nXQr77Vd9btgwf9oMs7n+vfaFY2K7lQl4PHBU/f1A4HvAEZPqPA+4FBBwDPCtuvwg4Jb6c2H9feFs\n2zz66KMdMVTOP98eGbHh/mlkpCrvd5thNte/Vx+PCTDmwt91uUdDtEr6HPBh25c3ys4BrrB9QT1/\nM3DcxGT7NVPVm06n03Gew4ihsnQp3DbFbfRLlsCtt/a3zTCb69+rj8dE0ibbnZK6PenDkLQUOBL4\n1qRFBwN3NOa31mXTlU+17rWSxiSNjY+PdyvkiH3D7bfPrbyXbYbZXP9e+8gxaT1hSHok8BngT2zf\n3e31215nu2O7Mzpa9HR7xOBYvHhu5b1sM8zm+vfaR45JqwlD0gFUyWKD7YumqLINOLQxf0hdNl15\nRDSdcQaMjDywbGSkKu93m2E217/XvnJMSjs75jpRdWT/LfCXM9R5Pg/s9L7K93d6/5Cqw3th/f2g\n2baZTu8YSuefby9ZYkvVZ0mnZ6/aDLO5/r36dEyYD53eko4FvgZcD9xXF78dWFwnqo9JEvBhYAWw\nE/hD22N1+z+q6wOcYfsTs20znd4REXMzl07v1t5Wa/vrVGcOM9Ux8Ppplq0H1rcQWkRE7IE86R0R\nEUWSMCIiokgSRkREFEnCiIiIIkkYERFRJAkjIiKKJGFERESRJIyIiCiShBEREUWSMCIiokgSRkRE\nFEnCiIiIIkkYERFRJAkjIiKKJGFERESR1sbDkLQeeAGw3fZTp1j+Z8ArG3E8GRi1vUPSrcA9wG5g\nV+ngHhER0Z42zzDOpRpJb0q2P2B7me1lwNuAf7K9o1Hl2fXyJIuIiHmgtYRh+6vAjlkrVlYDF7QV\nS0RE7L2+92FIGqE6E/lMo9jAFyVtkrS2P5FFRERTa30Yc/BC4J8nXY461vY2Sb8BXC7pu/UZy4PU\nCWUtwOLFi9uPNiJiSPX9DANYxaTLUba31Z/bgYuB5dM1tr3Odsd2Z3R0tNVAIyKGWV8ThqRHA88C\nPtcoe4SkAye+AycAN/QnwoiImNDmbbUXAMcBiyRtBU4DDgCw/bG62u8BX7T9s0bTxwEXS5qI75O2\nv9BWnBERUaa1hGF7dUGdc6luv22W3QI8o52oIiJiT82HPoyIiNgHJGFERESRJIyIiCiShBEREUWS\nMCIiokgSRkREFEnCiIiIIkkYERFRJAkjIiKKJGFERESRJIyIiCiShBEREUWSMCIiokgSRkREFEnC\niIiIIkkYERFRpLWEIWm9pO2SphxeVdJxku6SdG09ndpYtkLSzZK2SDqlrRgjIqJcm2cY5wIrZqnz\nNdvL6ul0AEkLgI8AzwWOAFZLOqLFOCMiokBrCcP2V4Ede9B0ObDF9i22fwVcCKzsanARETFn/e7D\neKak70i6VNJT6rKDgTsadbbWZRER0Uf793Hb1wBLbN8r6XnAZ4HD57oSSWuBtQCLFy/uboQREfFr\nfTvDsH237Xvr75cAB0haBGwDDm1UPaQum24962x3bHdGR0dbjTkiYpj1LWFI+k1Jqr8vr2O5E7ga\nOFzSYZIeAqwCNvYrzoiIqLR2SUrSBcBxwCJJW4HTgAMAbH8MeCnwOkm7gJ8Dq2wb2CXpZOAyYAGw\n3vbmtuKMiIgyqn6jB0On0/HY2Fi/w4iI2GdI2mS7U1K333dJRUTEPiIJIyIiiiRhREREkSSMiIgo\nkoQRERFFkjAiIqJIEkZERBRJwoiIiCJJGBERUSQJIyIiiiRhREREkSSMiIgokoQRERFFkjAiIqJI\nEkZERBRJwoiIiCKzJgxJZ0l6lKQDJH1J0rikVxW0Wy9pu6Qbpln+SknXSbpe0pWSntFYdmtdfq2k\njIgUETEPlJxhnGD7buAFwK3AbwF/VtDuXGDFDMt/CDzL9tOA9wDrJi1/tu1lpSNBRUREu0oSxgH1\n5/OBv7d9V8mKbX8V2DHD8itt/7Se/SZwSMl6IyKiP0oSxj9I+i5wNPAlSaPAL7ocx6uBSxvzBr4o\naZOktTM1lLRW0piksfHx8S6HFRERE/YvqHMacBZwl+3dknYCJ3YrAEnPpkoYxzaKj7W9TdJvAJdL\n+m59xvIgttdRX87qdDruVlwREfFAJWcY37C9w/ZuANs/44FnA3tM0tOBjwMrbd85UW57W/25HbgY\nWN6N7UVExJ6b9gxD0m8CBwMPl3QkoHrRo4CRvd2wpMXARcAf2P5eo/wRwH6276m/nwCcvrfbi4iI\nvTPTJannAGuoOqP/vFF+D/D22VYs6QLgOGCRpK1Ul7YOALD9MeBU4LHAX0sC2FXfEfU44OK6bH/g\nk7a/MJedioiI7pM982V/SS+x/ZkexbNXOp2Ox8by2EZERClJm0ofXyjp9H6qpKdMLrSdy0QREUOk\nJGHc2/j+MKoH+G5qJ5yIiJivZk0Ytj/YnJd0NnBZaxFFRMS8tCcvHxwhT2VHRAydWc8wJF1P9eQ1\nwAJglNzmGhExdEr6MF7Q+L4L+LHtXS3FExER81RJH8Ztko6ienWHga8D3247sIiImF9KxsM4FTiP\n6iG7RcC5kt7ZdmARETG/lFySeiXwDNu/AJB0JnAt8N42A4uIiPml5C6pf6F6/mLCQ4Ft7YQTERHz\nVckZxl3AZkmXU/VhHA9cJelDALbf2GJ8ERExT5QkjIvracIV7YQSERHzWUnCeIztv2oWSHrT5LKI\niBhsJX0YJ01RtqbLcURExDw30wBKq4FXAIdJ2thYdCCwo+3AIiJifpnpktSVwI+onr1ovoDwHuC6\nkpVLWk/1pPh220+dYrmAvwKeB+wE1ti+pl52EjDxvMd7bZ9Xss2IiGjHtJekbN9m+wrbz7T9T43p\nmjm8GuRcYMUMy58LHF5Pa4GPAkg6iGqEvv9ANZ73aZIWFm5zMGzYAEuXwn77VZ8bNnS/TS+2kbh6\n0yaiF2zPOFGdUdxdT78AdgN3z9au0X4pcMM0y84BVjfmbwYeD6wGzpmu3nTT0Ucf7YFw/vn2yIgN\n908jI1V5t9r0YhuJqzdtIvYCMObS3/PSitV6EfAi4Mw5tJkpYXweOLYx/yWgA7wFeGej/H8Cb5lt\nWwOTMJYseeAPxsS0ZEn32vRiG4mrN20i9sJcEsacxsOo1/9Z4DlzadcmSWsljUkaGx8f73c43XH7\n7XMr35M2vdhG4upNm4geKXn54Isb00vrd0n9okvb3wYc2pg/pC6brvxBbK+z3bHdGR0d7VJYfbZ4\n8dzK96RNL7aRuHrTJqJHSs4wXtiYnkPVp7GyS9vfCPwXVY4B7rL9I6ohYE+QtLDu7D6BYRoW9owz\nYGTkgWUjI1V5t9r0YhuJqzdtInql9NrVnkzABVS35v4/YCvwauC1wGt9f5/IR4AfANcDnUbbPwK2\n1NMflmxvYPow7KqTc8kSW6o+Szo959qmF9tIXL1pE7GHmEMfhqr6U5P0XOBtwBF10Wbg/bYv6XLe\n6opOp+OxsbF+hxERsc+QtMl2p6TuTE96/1fgNcD/ACZ+hTvAmZIOsb1uryONiIh9xkxPev8p1S2v\nzdeAfLk+6/g6kIQRETFEZur01qRkAYDtO1uMJyIi5qmZEsbdkp4xubAuu6e9kCIiYj6a6ZLUfwc2\nSvoEsKku61C97vxVbQcWERHzy0wvH/w61cv/9qMa/2JN/f2YellERAyRGUfcs/2vwKk9iiUiIuax\nmW6rvR6Y6iENUb1W6umtRRUREfPOTGcYL+hZFBERMe9NmzBs39bLQCIiYn4reVvtMZKulnSvpF9J\n2i3p7l4EFxER80fJ22o/TDUC3veBhwN/TPXCwIiIGCJFAyjZ3gIssL3b9ieYeZzuiIgYQDPeVlvb\nKekhwLWSzqJ6XfmcRuqLiIh9X8kP/x/U9U4GfkY1Et6L2wwqIiLmn5KE8SLbv7B9t+13234zueU2\nImLolCSMk6YoW1OyckkrJN0saYukU6ZY/heSrq2n70n6t8ay3Y1lG0u2FxER7ZnpSe/VwCuAwyb9\nYD8KeNBrz6dov4DqbqrjqYZnvVrSRts3TtSx/aeN+m8Ajmys4ue2l5XuSEREtGumTu8rqTq4FwEf\nbJTfA1xXsO7lwBbbtwBIuhBYCdw4Tf3VwGkF642IiD6Y6W21t9m+wvYzge8CB9bTVtu7CtZ9MHBH\nY35rXfYgkpYAhwFfbhQ/TNKYpG9KelHB9iIiokUlT3r/PnAV8PvAy4BvSXppl+NYBXza9u5G2ZJ6\nYPJXAH8p6YnTxLe2Tixj4+PjXQ4rIiImlDyH8U7g39veDiBpFPi/wKdnabeN6hbcCYfUZVNZBby+\nWWB7W/15i6QrqPo3fjC5oe111OOLdzqdqd6uGxERXVByl9R+E8midmdhu6uBwyUdVj/4twp40N1O\nkp4ELAS+0ShbKOmh9fdFwO8wfd9HRET0QMkZxqWSLgMuqOdfDlwyWyPbuySdDFwGLADW294s6XRg\nzPZE8lgFXGi7eXbwZOAcSfdRJaczm3dXRURE75UkDAPnAMfW8+uAY0pWbvsSJiUX26dOmn/XFO2u\nBJ5Wso2IiOiNkoRxvO23AhdNFEh6N/DW1qKKiIh5Z6YH914H/DfgCZKaz10cCPxz24FFRMT8MtMZ\nxieBS4H3Ac3Xetxje9YnvSMiYrDMNETrXcBdVE9gR0TEkMu4FhERUSQJIyIiiiRhREREkSSMiIgo\nkoQRERFFkjAiIqJIEkZERBRJwoiIiCJJGBERUSQJIyIiiiRhREREkSSMiIgo0mrCkLRC0s2Stkg6\nZYrlaySNS7q2nv64sewkSd+vp5PajDMiImZXMoDSHpG0APgIcDywFbha0sYphlr9O9snT2p7EHAa\n0KEa8W9T3fanbcUbEREza/MMYzmwxfYttn8FXAisLGz7HOBy2zvqJHE5sKKlOCMiokCbCeNg4I7G\n/Na6bLKXSLpO0qclHTrHtkhaK2lM0tj4+Hg34o6IiCn0u9P7H4Cltp9OdRZx3lxXYHud7Y7tzujo\naNcDjIiISpsJYxtwaGP+kLrs12zfafuX9ezHgaNL20ZERG+1mTCuBg6XdJikhwCrgI3NCpIe35g9\nEbip/n4ZcIKkhZIWAifUZRER0Set3SVle5ekk6l+6BcA621vlnQ6MGZ7I/BGSScCu4AdwJq67Q5J\n76FKOgCn297RVqwRETE72e53DF3T6XQ8NjbW7zAiIvYZkjbZ7pTU7Xend0RE7COSMCIiokgSRkRE\nFEnCiIiIIkkYERFRJAkjIiKKJGFERESRJIyIiCiShBEREUWSMCIiokgSRkREFEnCiIiIIkkYERFR\nJAkjIiKKJGFERESRJIyIiCjSasKQtELSzZK2SDpliuVvlnSjpOskfUnSksay3ZKuraeNk9tGRERv\ntTZEq6QFwEeA44GtwNWSNtq+sVHt20DH9k5JrwPOAl5eL/u57WVtxRcREXPT5hnGcmCL7Vts/wq4\nEFjZrGD7K7Z31rPfBA5pMZ6IiNgLbSaMg4E7GvNb67LpvBq4tDH/MEljkr4p6UXTNZK0tq43Nj4+\nvncRR0TEtFq7JDUXkl4FdIBnNYqX2N4m6QnAlyVdb/sHk9vaXgesA+h0Ou5JwBERQ6jNM4xtwKGN\n+UPqsgeQ9LvAO4ATbf9yotz2tvrzFuAK4MgWY42IiFm0mTCuBg6XdJikhwCrgAfc7STpSOAcqmSx\nvVG+UNJD6++LgN8Bmp3lERHRY61dkrK9S9LJwGXAAmC97c2STgfGbG8EPgA8Evh7SQC32z4ReDJw\njqT7qJLamZPuroqIiB6TPTiX/TudjsfGxvodRkTEPkPSJtudkrp50jsiIookYURERJEkjIiIKJKE\nERERRZIwIiKiSBJGREQUScKIiIgiSRgREVEkCSMiIookYURERJEkjIiIKJKEERERRZIwIiKiSBJG\nREQUScKIiIgirSYMSSsk3Sxpi6RTplj+UEl/Vy//lqSljWVvq8tvlvScNuOMiIjZtZYwJC0APgI8\nFzgCWC3piEnVXg381PZvAX8BvL9uewTVkK5PAVYAf12vr/s2bIClS2G//arPDRu6Wz8iYkC0eYax\nHNhi+xbbvwIuBFZOqrMSOK/+/mngP6saq3UlcKHtX9r+IbClXl93bdgAa9fCbbeBXX2uXTt9Ephr\n/YiIAdJmwjgYuKMxv7Uum7KO7V3AXcBjC9vuvXe8A3bufGDZzp1VeTfqR0QMkH2+01vSWkljksbG\nx8fn1vj229stj4gYIG0mjG3AoY35Q+qyKetI2h94NHBnYVsAbK+z3bHdGR0dnVuEixe3Wx4RMUDa\nTBhXA4dLOkzSQ6g6sTdOqrMROKn+/lLgy7Zdl6+q76I6DDgcuKrrEZ5xBoyMPLBsZKQq70b9iIgB\n0lrCqPskTgYuA24CPmV7s6TTJZ1YV/sb4LGStgBvBk6p224GPgXcCHwBeL3t3V0P8pWvhHXrYMkS\nkKrPdeuq8m7Uj4gYIKr+Qz8YOp2Ox8bG+h1GRMQ+Q9Im252Suvt8p3dERPRGEkZERBRJwoiIiCJJ\nGBERUSQJIyIiigzUXVKSxoHb+h3HDBYBP+l3EH00zPuffR9e833/l9gueup5oBLGfCdprPT2tUE0\nzPuffR/OfYfB2v9ckoqIiCJJGBERUSQJo7fW9TuAPhvm/c++D6+B2f/0YURERJGcYURERJEkjB6R\ndKuk6yVdK2mg35Aoab2k7ZJuaJQdJOlySd+vPxf2M8Y2TbP/75K0rT7+10p6Xj9jbIukQyV9RdKN\nkjZLelNdPvDHf4Z9H5hjn0tSPSLpVqBjez7fj90Vkv4TcC/wt7afWpedBeywfaakU4CFtt/azzjb\nMs3+vwu41/bZ/YytbZIeDzze9jWSDgQ2AS8C1jDgx3+GfX8ZA3Lsc4YRXWf7q8COScUrgfPq7+dR\n/UMaSNPs/1Cw/SPb19Tf76EaC+dghuD4z7DvAyMJo3cMfFHSJklr+x1MHzzO9o/q7/8KPK6fwfTJ\nyZKuqy9ZDdwlmckkLQWOBL7FkB3/SfsOA3LskzB651jbRwHPBV5fX7YYSvUwvMN2LfSjwBOBZcCP\ngA/2N5x2SXok8BngT2zf3Vw26Md/in0fmGOfhNEjtrfVn9uBi4Hl/Y2o535cX+OduNa7vc/x9JTt\nH9vebfs+4P8wwMdf0gFUP5gbbF9UFw/F8Z9q3wfp2Cdh9ICkR9SdYEh6BHACcMPMrQbORuCk+vtJ\nwOf6GEvPTfxY1n6PAT3+kgT8DXCT7T9vLBr44z/dvg/Ssc9dUj0g6QlUZxUA+wOftH1GH0NqlaQL\ngOOo3tL5Y+A04LPAp4DFVG8UfpntgewYnmb/j6O6JGHgVuA1jWv6A0PSscDXgOuB++rit1Ndyx/o\n4z/Dvq9mQI59EkZERBTJJamIiCiShBEREUWSMCIiokgSRkREFEnCiIiIIkkYMdAkWdL5jfn9JY1L\n+vweru9WSYu6FNslkh7TjXU11nlv/blU0s8lfVvSTZKukrSmm9uK4bN/vwOIaNnPgKdKerjtnwPH\nA9v6HBMAttt+zfUPbB8Jv34W6CJJsv2JlrcbAypnGDEMLgGeX39fDVwwsaB+Cn99/T/wb0taWZcv\nkHS2pBvql8a9obG+N0i6ph7f5El1/eWSvlGv40pJv12Xr5F0kaQv1GNBnNXY9q2SFtUx/KOk79Tb\ne3lj+fvqMRTGJB0l6TJJP5D02rn8AWzfArwZeOPc/3wRlSSMGAYXAqskPQx4Ove/QRTgHcCXbS8H\nng18oH59y1pgKbDM9tOBDY02P6lfJPlR4C112XeB/1j/j/5U4H816i8DXg48DXi5pEMnxbcC+Bfb\nz6jHz/hCY9nttpdRPUF8LvBS4Bjg3XP+K8A1wJP2oF0EkEtSMQRsX1e/bno11dlG0wnAiZImfvgf\nRvX6it8FPmZ7V72O5mssJl6otwl4cf390cB5kg6negXEAY36X7J9F4CkG4ElwB2N5dcDH5T0fuDz\ntr/WWLaxUeeR9TgL90j6paTH2P63wj8DgOZQN+JBcoYRw2IjcDaNy1E1AS+xvayeFtu+aZZ1/bL+\n3M39/+l6D/CV+gzhhVSJZ3L9yW0AsP094CiqpPBeSadO0fa+Seu5b/J6ChxJNahPxB5JwohhsR54\nt+3rJ5VfRtUnIQBJR9bllwOvkbR/XX7QLOt/NPd3pq+ZS2CS/h2w0/b5wAeokkdX1WdYZwP/u9vr\njuGRhBFDwfZW2x+aYtF7qC4fXSdpcz0P8HHg9rr8O8ArZtnEWcD7JH2buf/P/2nAVZKupXqz7Xvn\n2H46T5y4rZbqTbEfyh1SsTfyttqIiCiSM4yIiCiShBEREUWSMCIiokgSRkREFEnCiIiIIkkYERFR\nJAkjIiKKJGFERESR/w9tbD9AyRS2eAAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x109d7e7b8>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "totalOutputs = reduce((lambda x, y: x + y), outAny).sort_values()\n",
+    "plt.plot(df['id'], totalOutputs, 'ro')\n",
+    "plt.xlabel('Mechanism ID')\n",
+    "plt.ylabel('totalOutputs')\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 108,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAEKCAYAAAD9xUlFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nBUlSYyhIkhpDQZLU/Bd4QLoBSBJ40wAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x10a88b470>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "totalInputs = reduce((lambda x, y: x + y), inAny).sort_values()\n",
+    "plt.plot(df['id'], totalInputs, 'ro')\n",
+    "plt.xlabel('Mechanism ID')\n",
+    "plt.ylabel('totalInputs')\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 109,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAEKCAYAAAD9xUlFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nBUnSkElBkjT0/wELOb+ImgKyjQAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x109d83b38>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
     }
    ],
    "source": [
     "#inRot\n",
     "commonRotations = [a * b for a,b in zip(inRot, outRot)]\n",
-    "commonRotations"
+    "commonRotations\n",
+    "\n",
+    "#commonRotations\n",
+    "\n",
+    "plt.plot([\"x\", \"y\", \"z\"], commonRotations, 'ro')\n",
+    "plt.xlabel('rotation axis')\n",
+    "plt.ylabel('input and output rotation in common')\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 110,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYIAAAEKCAYAAAAfGVI8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n05O/e+MhSgAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x105fc2748>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plt.plot(df['transmission'].sort_values(), df['id'], 'ro')\n",
+    "plt.xlabel('Transmission')\n",
+    "plt.ylabel('Mechanism ID')\n",
+    "plt.show()"
    ]
   },
+  {
+   "cell_type": "code",
+   "execution_count": 111,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAEKCAYAAAD9xUlFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
+      "text/plain": [
+       "<matplotlib.figure.Figure at 0x10a954d68>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plt.plot(df['id'], df['inputR1'], 'ro')\n",
+    "plt.xlabel('Mechanism ID')\n",
+    "plt.ylabel('Input Rotation on X axis')\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Current Dev"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
   {
    "cell_type": "code",
    "execution_count": null,