Let x = {(x, y) elementof r^2: x greaterthanorequalto 0, y greaterthanorequalto 0, and x + y lessthanorequalto}. we define the function g: n rightarrow p (x) recursively as follows: g(0) = x and for n elementof n, g(n + 1) = {(x/2, y/2): (x, y)elementof g(n)}union{((x + 1)/2, y/2): (x, y)elementof g(n)} union {(x/2, (y + 1)/2): (x, y) elementof g(n)}. sketch g(0), g(2), and g(3). what kind of object is this function building?