Figure 21.

ratio8, $\frac{\langle R^8\rangle }{{\langle R^2\rangle }^4}$, as it evolves as the number of segments increases, of the random walk on the tetrahedral lattice in the presence of obstacles(circles), exclusion of local interactions(dots), and the line derived using the method of [10] for calculating the ratios mentioned before (squares) for the simple random walk on the tetrahedral lattice model.