new_contents: 
  class Position(object):
  	"""Represents a postion and orientation in the arena."""
  
  	def __init__(self, x, y, r=0):
  		self.x = x
  		self.y = y
  		self.r = r % 360
  
  	def same_area(self, position, tolerance=1.0):
  		"""Returns whether the position is aproximately equal to the given position within said tolerance."""
  
  		t = tolerance
  		if self.x - t <= position.x <= self.x + t:
  			if self.y - t <= position.y <= self.y + t:
  				return True
  		# Else
  		return False
  
  	def same_facing(self, position, tolerance=15.0):
  		"""Returns whether the position is aproximately equal to the given position within said tolerance."""
  
  		t = tolerance
  		diff = abs(position.r - self.r)
  
  		if diff >= 180:
  			diff = 360 - diff
  
  		if diff <= t:
  			return True
  		# Else
  		return False
subject: Add positioning module and Position object.