Alternate division functions for mapping division probability

division.py

def flat_division(a, b):
    '''Splitting a flat group of divisible entities into all possible partitions along X and Y axis. Denoted by a_|b'''
    min = a+b
    max = a*b+(a+b-1)
    return list(range(min, max+1))

def stacked_division(a, b):
    '''Splitting an overlapping group of divisible entities into all possible partitions along Z axis. Denoted by a/|b'''
    min = a*b+a
    max = 2*a*b
    return list(range(min, max+1))

def flat_stacked_division(a,b):
    '''Splitting a flat or overlapping group of divisible entities into all possible partitions along X, Y and Z axis. Denoted by a_/|b'''
    min = a+b
    max = 2*a*b
    return list(range(min, max+1))

def distributed_division(a,b):
    '''Splitting a group of indivisible entities into all possible group sizes. Denoted by a[|b'''
    max = a-b+1
    min = max+b-a
    if min == max:
        return max
    return list(range(max+b-a, max+1))