(b) Let X SRM be nonempty, closed, and equipped with the Euclidean metric. Let {X; W1, W2, ..., Wn} be an IFS, where each w; :X X is a similitude with scaling factor r. Define the Hutchinson operator W associated to this IFS. (c) Define what it means for an open subset U of RM with U C X to satisfy the just- touching or separating set condition with respect to the above IFS. (d) Let A be the attractor of the above IFS. If this IFS admits a separating open subset U, give a formula for the fractal dimension of D(A) of A. (b) Let X SRM be nonempty, closed, and equipped with the Euclidean metric. Let {X; W1, W2, ..., Wn} be an IFS, where each w; :X X is a similitude with scaling factor r. Define the Hutchinson operator W associated to this IFS. (c) Define what it means for an open subset U of RM with U C X to satisfy the just- touching or separating set condition with respect to the above IFS. (d) Let A be the attractor of the above IFS. If this IFS admits a separating open subset U, give a formula for the fractal dimension of D(A) of A