After reviewing fractal dimension in class this week, I want to revisit it with a couple...

 

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After reviewing fractal dimension in class this week, I want to revisit it with a couple of computational examples. The deletion fractal below (sometimes called a Sierpinksi hexagon) is constructed by begin- ning with a hexagon and strategically removing space (stages seen below are after one iteration and 5 iterations; anything beyond 5 is probably not visible based on the pixellation of the screen anyway). What is its fractal dimension? Estimate the fractal dimension of the tree image below. Explain what values you use for the variables in the fractal dimension equation, and how you arrived at those values. After reviewing fractal dimension in class this week, I want to revisit it with a couple of computational examples. The deletion fractal below (sometimes called a Sierpinksi hexagon) is constructed by begin- ning with a hexagon and strategically removing space (stages seen below are after one iteration and 5 iterations; anything beyond 5 is probably not visible based on the pixellation of the screen anyway). What is its fractal dimension? Estimate the fractal dimension of the tree image below. Explain what values you use for the variables in the fractal dimension equation, and how you arrived at those values.

Answer rating: 100% (QA)

Answer 1 The fractal dimension of the deletion fractal below is approximately 158 This can be calculated using the equation D log N log S where N is t... View the full answer