Solve the problem.A fractal is formed in the following way:Start with an equilateral triangle. Place the triangle so that one side is horizontal and so that the triangle is "pointing upward". Divide the triangle into 9 smaller equilateral triangles of equal size and remove the three triangles which are "pointing downward". Repeat this process at each stage.Find the scale factor which is equal to the ratio Find the ratio  for the fractalThe dimension of the fractal is between what two numbers?Use your calculator to approximate the dimension d to three decimal places. Remember

that (scale factor)d =   .



What will be an ideal response?


scale factor = 3

 = 6
dimension is between 1 and 2
d ? 1.631

Mathematics

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