ApeGrid

import sys
from PyQt4 import QtGui, QtCore
from random import randint

def dist(p1, p2):
    return max(abs(p1%4-p2%4), abs(p1/4-p2/4))

class ApeGrid(QtGui.QWidget):

    def __init__(self):
        QtGui.QWidget.__init__(self)

        self.fieldLayouts = []
        self.fields = []
        self.layout = QtGui.QVBoxLayout()

        # Create 16 buttons
        for x in range(16):
            self.fields.append(QtGui.QPushButton(""))

        # Connect the buttons
        for x in self.fields:
            self.connect(x, QtCore.SIGNAL('clicked()'), self.fieldClicked)

        # Create four QHBoxLayouts for buttons
        for x in range(4):
            self.fieldLayouts.append(QtGui.QHBoxLayout())

        # Fill the layouts (4x4)
        i = 0
        for x in self.fieldLayouts:
            for y in range(4):
                x.addWidget(self.fields[i])
                i = i + 1

        # Add the layouts to the main layout
        for x in self.fieldLayouts:
            self.layout.addLayout(x)

        # Set the main layout
        self.setLayout(self.layout)
        self.moveCircle()

    def fieldClicked(self):
        button = self.sender()
        self.moveCircle()

    def moveCircle(self):
        for x in self.fields:
            x.setText("")
        av = range(16)
        for i in range(3):
            pick = av[randint(0, len(av)-1)]
            available = [x for x in av if dist(x,pick) > 1]
            self.fields[pick].setText("O")

if __name__ == "__main__":
    app = QtGui.QApplication(sys.argv)

    a = ApeGrid()
    a.show()

    sys.exit(app.exec_())