Assigned Exercise V.1. Refer to the generation of the fractal in problem 2, p. 309. It is understood that 3 small equilateral triangles were taken from a filled-in equilateral triangle To (initiator) to make the generator. (a) Find maps F1, F2, ... Fs such that the generator Ti is given as a just touching union T = F (75)UF:(ToU-UF(To). Hint: use only scaling, reflection, and translations of the plane; no rotations required! Show this with a picture. (b) Determine the similarity dimension of the limiting fractal. (c) Compute an image of the fractal by using the Random Iteration Algorithm or other program. Fractals 309 2. Assigned Exercise V.1. Refer to the generation of the fractal in problem 2, p. 309. It is understood that 3 small equilateral triangles were taken from a filled-in equilateral triangle To (initiator) to make the generator. (a) Find maps F1, F2, ... Fs such that the generator Ti is given as a just touching union T = F (75)UF:(ToU-UF(To). Hint: use only scaling, reflection, and translations of the plane; no rotations required! Show this with a picture. (b) Determine the similarity dimension of the limiting fractal. (c) Compute an image of the fractal by using the Random Iteration Algorithm or other program. Fractals 309 2