I'm new to object oriented programming and am struggling a bit with how best to write classes.
I am trying to abstract the idea of sorting to objects that are not just lists of numbers. I have an abstract base class, SortableContainer, which contains all the necessary virtual functions for comparing and swapping elements, along with some overloaded operators. I then have two classes derived from that, MVector and CoordinateArray. Both of these derived classes have proper definitions for all the virtual functions in the base class. Everything up to this point has worked just fine. MVector just stores vector-like objects and CoordinateArray stores vectors of coordinates onto which a notion of 'less than' has been defined. 
My problem now is that I have created a new class, Life, which I want to use to implement the game of life using a CoordinateArray object to store the alive cells. The outline of my Life class looks like this:
class Life
{
public:
   CoordinateArray LiveCells;
   Life();
};
When I create a Life object and initialise it with the coordinates of some alive cells, none of the member functions defined in the CoordinateArray derived class will work. How can I fix this? Do I have to derive the Life class from the SortableContainer class and then override all the pure virtual functions? Any help or direction to help will be much appreciated.
 
     
     
     
    