Generalized Dice refactoring

[nilamo]

number = random.randint(0,len(die)-1)

This is the same, and clearer: number = random.randint(len(die))
But this is even clearer: number = random.choice(die)

ending_conditions = ['stop','Stop','quit','Quit']

If you call .lower() on the input, you only need ending_conditions = ['stop', 'quit']. As an added bonus, you also properly handle weird things like "sToP", or "QUIT".

while end == False:

That's kind of gross, and would look nicer as while not end:.

if not(inpu in ending_conditions):

I'd prefer to see the "not" next to the "in", like such: if inpu not in ending_conditions:

The functions quantitymatrix and deeper are the same. One of them can just be deleted, and you can call the other instead.

Aside from that, what is it you're trying to refactor?