Question

initiator generator The initiator and generator of a fractal are given above. Assume that the initiator is a square with sides of length 1 and that the generator has 9 squares all of the same size (with one square left out). [8] a) Draw the next stage to get the fractal. b) Find the scaling ratio r and the number of smaller versions N. c) Determine the fractal dimension of the fractal. d) Find the area of the initiator, the generator, and the next stage that you found in (a). What happens to the area as the number of iterations goes to infinity? Does this agree with the fractal dimension?

          initiator
generator
The initiator and generator of a fractal are given above. Assume that the initiator is a square with sides of length 1 and that the generator has 9 squares all of the same size (with one square left out). [8]
a) Draw the next stage to get the fractal.
b) Find the scaling ratio r and the number of smaller versions N.
c) Determine the fractal dimension of the fractal.
d) Find the area of the initiator, the generator, and the next stage that you found in (a). What happens to the area as the number of iterations goes to infinity? Does this agree with the fractal dimension?

$initiator generator The initiator and generator of a fractal are given above. Assume that the initiator is a square with sides of length 1 and that the generator has 9 squares all of the same size (with one square left out). [8] a) Draw the next stage to get the fractal. b) Find the scaling ratio r and the number of smaller versions N. c) Determine the fractal dimension of the fractal. d) Find the area of the initiator, the generator, and the next stage that you found in (a). What happens to the area as the number of iterations goes to infinity? Does this agree with the fractal dimension?$

Added by James P.

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