diff --git a/clusterview.ui b/clusterview.ui
index 16914ae..e7968b4 100644
--- a/clusterview.ui
+++ b/clusterview.ui
@@ -95,6 +95,74 @@
        </widget>
       </item>
       <item>
+       <widget class="QGroupBox" name="groupBox_3">
+        <property name="title">
+         <string>Solver</string>
+        </property>
+        <layout class="QFormLayout" name="formLayout">
+         <item row="0" column="0">
+          <widget class="QLabel" name="label_2">
+           <property name="text">
+            <string>Centroids</string>
+           </property>
+          </widget>
+         </item>
+         <item row="0" column="1">
+          <widget class="QSpinBox" name="number_of_centroids">
+           <property name="sizePolicy">
+            <sizepolicy hsizetype="Fixed" vsizetype="Fixed">
+             <horstretch>0</horstretch>
+             <verstretch>0</verstretch>
+            </sizepolicy>
+           </property>
+           <property name="minimumSize">
+            <size>
+             <width>50</width>
+             <height>26</height>
+            </size>
+           </property>
+           <property name="maximumSize">
+            <size>
+             <width>50</width>
+             <height>16777215</height>
+            </size>
+           </property>
+          </widget>
+         </item>
+         <item row="3" column="0">
+          <widget class="QPushButton" name="choose_centroids_button">
+           <property name="enabled">
+            <bool>true</bool>
+           </property>
+           <property name="text">
+            <string>Choose Centroids</string>
+           </property>
+          </widget>
+         </item>
+         <item row="5" column="0">
+          <widget class="QPushButton" name="solve_button">
+           <property name="enabled">
+            <bool>false</bool>
+           </property>
+           <property name="text">
+            <string>Solve</string>
+           </property>
+          </widget>
+         </item>
+         <item row="4" column="0">
+          <widget class="QPushButton" name="group_button">
+           <property name="enabled">
+            <bool>false</bool>
+           </property>
+           <property name="text">
+            <string>Group</string>
+           </property>
+          </widget>
+         </item>
+        </layout>
+       </widget>
+      </item>
+      <item>
        <spacer name="verticalSpacer_2">
         <property name="orientation">
          <enum>Qt::Vertical</enum>
@@ -116,29 +184,6 @@
          <string>Canvas Information</string>
         </property>
         <layout class="QGridLayout" name="gridLayout_2">
-         <item row="0" column="2">
-          <spacer name="horizontalSpacer">
-           <property name="orientation">
-            <enum>Qt::Horizontal</enum>
-           </property>
-           <property name="sizeType">
-            <enum>QSizePolicy::Fixed</enum>
-           </property>
-           <property name="sizeHint" stdset="0">
-            <size>
-             <width>20</width>
-             <height>20</height>
-            </size>
-           </property>
-          </spacer>
-         </item>
-         <item row="0" column="0">
-          <widget class="QLabel" name="label">
-           <property name="text">
-            <string>Mouse Position:</string>
-           </property>
-          </widget>
-         </item>
          <item row="0" column="3">
           <widget class="QLabel" name="mouse_position_label">
            <property name="sizePolicy">
@@ -166,7 +211,30 @@
            <property name="sizeHint" stdset="0">
             <size>
              <width>20</width>
-             <height>40</height>
+             <height>20</height>
+            </size>
+           </property>
+          </spacer>
+         </item>
+         <item row="0" column="0">
+          <widget class="QLabel" name="label">
+           <property name="text">
+            <string>Mouse Position:</string>
+           </property>
+          </widget>
+         </item>
+         <item row="0" column="2">
+          <spacer name="horizontalSpacer">
+           <property name="orientation">
+            <enum>Qt::Horizontal</enum>
+           </property>
+           <property name="sizeType">
+            <enum>QSizePolicy::Fixed</enum>
+           </property>
+           <property name="sizeHint" stdset="0">
+            <size>
+             <width>20</width>
+             <height>20</height>
             </size>
            </property>
           </spacer>
@@ -226,7 +294,6 @@
    <addaction name="action_move_points"/>
    <addaction name="action_edit_points"/>
    <addaction name="action_delete_points"/>
-   <addaction name="action_solve"/>
   </widget>
   <action name="action_add_points">
    <property name="text">
diff --git a/clusterview/colors.py b/clusterview/colors.py
index d8adb9c..32f14c8 100644
--- a/clusterview/colors.py
+++ b/clusterview/colors.py
@@ -9,6 +9,10 @@ class Color(str, Enum):
     ORANGE = 'ORANGE'
     PURPLE = 'PURPLE'
 
+    @classmethod
+    def count(cls):
+        return len(cls.__members__)
+
 
 # A simple map from Color -> RGBA 4-Tuple
 # Note: The color values in the tuple are not RGB, but
diff --git a/clusterview_ui.py b/clusterview_ui.py
index e37b328..b3b4276 100644
--- a/clusterview_ui.py
+++ b/clusterview_ui.py
@@ -57,17 +57,42 @@ class Ui_MainWindow(object):
         self.point_list_widget.setObjectName("point_list_widget")
         self.gridLayout.addWidget(self.point_list_widget, 0, 0, 1, 1)
         self.verticalLayout.addWidget(self.groupBox)
+        self.groupBox_3 = QtWidgets.QGroupBox(self.centralwidget)
+        self.groupBox_3.setObjectName("groupBox_3")
+        self.formLayout = QtWidgets.QFormLayout(self.groupBox_3)
+        self.formLayout.setObjectName("formLayout")
+        self.label_2 = QtWidgets.QLabel(self.groupBox_3)
+        self.label_2.setObjectName("label_2")
+        self.formLayout.setWidget(0, QtWidgets.QFormLayout.LabelRole, self.label_2)
+        self.number_of_centroids = QtWidgets.QSpinBox(self.groupBox_3)
+        sizePolicy = QtWidgets.QSizePolicy(QtWidgets.QSizePolicy.Fixed, QtWidgets.QSizePolicy.Fixed)
+        sizePolicy.setHorizontalStretch(0)
+        sizePolicy.setVerticalStretch(0)
+        sizePolicy.setHeightForWidth(self.number_of_centroids.sizePolicy().hasHeightForWidth())
+        self.number_of_centroids.setSizePolicy(sizePolicy)
+        self.number_of_centroids.setMinimumSize(QtCore.QSize(50, 26))
+        self.number_of_centroids.setMaximumSize(QtCore.QSize(50, 16777215))
+        self.number_of_centroids.setObjectName("number_of_centroids")
+        self.formLayout.setWidget(0, QtWidgets.QFormLayout.FieldRole, self.number_of_centroids)
+        self.choose_centroids_button = QtWidgets.QPushButton(self.groupBox_3)
+        self.choose_centroids_button.setEnabled(True)
+        self.choose_centroids_button.setObjectName("choose_centroids_button")
+        self.formLayout.setWidget(3, QtWidgets.QFormLayout.LabelRole, self.choose_centroids_button)
+        self.solve_button = QtWidgets.QPushButton(self.groupBox_3)
+        self.solve_button.setEnabled(False)
+        self.solve_button.setObjectName("solve_button")
+        self.formLayout.setWidget(5, QtWidgets.QFormLayout.LabelRole, self.solve_button)
+        self.group_button = QtWidgets.QPushButton(self.groupBox_3)
+        self.group_button.setEnabled(False)
+        self.group_button.setObjectName("group_button")
+        self.formLayout.setWidget(4, QtWidgets.QFormLayout.LabelRole, self.group_button)
+        self.verticalLayout.addWidget(self.groupBox_3)
         spacerItem = QtWidgets.QSpacerItem(20, 20, QtWidgets.QSizePolicy.Minimum, QtWidgets.QSizePolicy.Fixed)
         self.verticalLayout.addItem(spacerItem)
         self.groupBox_2 = QtWidgets.QGroupBox(self.centralwidget)
         self.groupBox_2.setObjectName("groupBox_2")
         self.gridLayout_2 = QtWidgets.QGridLayout(self.groupBox_2)
         self.gridLayout_2.setObjectName("gridLayout_2")
-        spacerItem1 = QtWidgets.QSpacerItem(20, 20, QtWidgets.QSizePolicy.Fixed, QtWidgets.QSizePolicy.Minimum)
-        self.gridLayout_2.addItem(spacerItem1, 0, 2, 1, 1)
-        self.label = QtWidgets.QLabel(self.groupBox_2)
-        self.label.setObjectName("label")
-        self.gridLayout_2.addWidget(self.label, 0, 0, 1, 1)
         self.mouse_position_label = QtWidgets.QLabel(self.groupBox_2)
         sizePolicy = QtWidgets.QSizePolicy(QtWidgets.QSizePolicy.Fixed, QtWidgets.QSizePolicy.Preferred)
         sizePolicy.setHorizontalStretch(0)
@@ -78,8 +103,13 @@ class Ui_MainWindow(object):
         self.mouse_position_label.setText("")
         self.mouse_position_label.setObjectName("mouse_position_label")
         self.gridLayout_2.addWidget(self.mouse_position_label, 0, 3, 1, 1)
-        spacerItem2 = QtWidgets.QSpacerItem(20, 40, QtWidgets.QSizePolicy.Minimum, QtWidgets.QSizePolicy.Expanding)
-        self.gridLayout_2.addItem(spacerItem2, 1, 0, 1, 1)
+        spacerItem1 = QtWidgets.QSpacerItem(20, 20, QtWidgets.QSizePolicy.Minimum, QtWidgets.QSizePolicy.Expanding)
+        self.gridLayout_2.addItem(spacerItem1, 1, 0, 1, 1)
+        self.label = QtWidgets.QLabel(self.groupBox_2)
+        self.label.setObjectName("label")
+        self.gridLayout_2.addWidget(self.label, 0, 0, 1, 1)
+        spacerItem2 = QtWidgets.QSpacerItem(20, 20, QtWidgets.QSizePolicy.Fixed, QtWidgets.QSizePolicy.Minimum)
+        self.gridLayout_2.addItem(spacerItem2, 0, 2, 1, 1)
         self.verticalLayout.addWidget(self.groupBox_2)
         self.horizontalLayout.addLayout(self.verticalLayout)
         MainWindow.setCentralWidget(self.centralwidget)
@@ -128,7 +158,6 @@ class Ui_MainWindow(object):
         self.tool_bar.addAction(self.action_move_points)
         self.tool_bar.addAction(self.action_edit_points)
         self.tool_bar.addAction(self.action_delete_points)
-        self.tool_bar.addAction(self.action_solve)
 
         self.retranslateUi(MainWindow)
         QtCore.QMetaObject.connectSlotsByName(MainWindow)
@@ -137,6 +166,11 @@ class Ui_MainWindow(object):
         _translate = QtCore.QCoreApplication.translate
         MainWindow.setWindowTitle(_translate("MainWindow", "ClusterView"))
         self.groupBox.setTitle(_translate("MainWindow", "Point List"))
+        self.groupBox_3.setTitle(_translate("MainWindow", "Solver"))
+        self.label_2.setText(_translate("MainWindow", "Centroids"))
+        self.choose_centroids_button.setText(_translate("MainWindow", "Choose Centroids"))
+        self.solve_button.setText(_translate("MainWindow", "Solve"))
+        self.group_button.setText(_translate("MainWindow", "Group"))
         self.groupBox_2.setTitle(_translate("MainWindow", "Canvas Information"))
         self.label.setText(_translate("MainWindow", "Mouse Position:"))
         self.menu_file.setTitle(_translate("MainWindow", "File"))
diff --git a/main_window.py b/main_window.py
index 7b920d5..6eee515 100644
--- a/main_window.py
+++ b/main_window.py
@@ -1,13 +1,11 @@
-from enum import Enum
 from functools import partial
-import os
 
-from PyQt5 import uic
-from PyQt5.QtCore import QEvent, Qt
+from PyQt5.QtCore import Qt
 from PyQt5.QtGui import QCursor
 from PyQt5.QtWidgets import QFileDialog, QMainWindow
 
-from clusterview.exceptions import handle_exceptions, InvalidModeError
+from clusterview.exceptions import handle_exceptions
+from clusterview.colors import Color
 from clusterview.mode import Mode
 from clusterview.mode_handlers import (MODE_HANDLER_MAP, ogl_keypress_handler,
                                        refresh_point_list)
@@ -34,6 +32,13 @@ class MainWindow(QMainWindow, Ui_MainWindow):
         super(MainWindow, self).__init__(parent)
         self.setupUi(self)
 
+        # Spin box should only allow the number of centroids to be no
+        # greater than the number of supported colors minus 2 to exclude
+        # the color for selection (Color.BLUE) and the default color for points
+        # (Color.GREY).
+        self.number_of_centroids.setMinimum(0)
+        self.number_of_centroids.setMaximum(Color.count() - 2)
+
         # We only need to set the context in our OpenGL state machine
         # wrapper once here since the window is fixed size.
         # If we allow resizing of the window, the context must be updated
@@ -44,7 +49,7 @@ class MainWindow(QMainWindow, Ui_MainWindow):
         # Enables mouse tracking on the viewport so mouseMoveEvents are
         # tracked and fired properly.
         self.opengl_widget.setMouseTracking(True)
-        
+
         # Enable keyboard input capture on the OpenGL Widget
         self.opengl_widget.setFocusPolicy(Qt.StrongFocus)