Fractals 383 Exercises Iterated Fractals u sing the initiator and generator show

Question

Fractals 383 Exercises Iterated Fractals u sing the initiator and generator shown, draw the nest two stages of the teratedfractal initiator generator 2. initiator generator initiator generator 3. initiator generator 4. initiator generator generator 6. initiator 5. 7. Create your own version of Sierpinski gasket with added randomness. 8 Create a version of the branching tree fractal from example #3 with added randomness Fractal Dimension 9. Determine the fractal dimension of the Koch curve. 10. Determine the fractal dimension of the curve generated in exercise #1

Explanation / Answer

It is easy to see that a line in the above Curve breaks up into 5 smaller pieces. Each of these pieces are 1/3 the length of the original.

Therefore N is equal to 5 and S is equal to 3.

Which gives us a fractal dimension of = log (5)/ log(3) = 1.46497352.

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