How can we translate real-world positions into a computer language? An example would be to simulate a ball bouncing around in a closed box. How can we say with confidence that the program will represent reality? This is my current thinking on how to manage space. Any advise or critique would be greatly appreciated! Code (Text): import numpy as np import numpy.random as rand def gen_space(xsize=10, ysize=10, zsize=10): ''' Create and fill a 3D space with random values on the interval [0,1]. When accessing points in this space, we can visualize like so: space[:][Y][Z] # Returns (x) at y=Y, z=Z space[X][:][Z] # Returns (y) at x=X, z=Z space[X][Y] # Returns (z) at x=X, y=Y space[:][:][Z] # Returns (x, y) at z=Z space[:][Y] # Returns (x, z) at y=Y space[X] # Returns (y, z) at x=X space[X][Y][Z] # Returns value at the point (X, Y, Z) Returns: space, [xsize, ysize, zsize] ''' # space = np.array([[[None] * zsize] * ysize] * xsize) # Safe method space = np.empty([zsize, ysize, xsize]) # Fast method for x in range(xsize): for y in range(ysize): for z in range(zsize): space[x][y][z] = rand.random() return space, [xsize, ysize, zsize] if __name__ == '__main__': space, sizes = gen_space() Thank you very much for your time and thoughts!