The figure shows the pre-image and first iteration for a set of transformations. If the iterations are carried on infinitely, the resulting fractal figure will have dimension given by
Dimension=(LogN)/Log(1/r)
It tells me to find N and r...
What should I be looking for on the graph??
To find N and r for calculating the dimension of the resulting fractal figure, you would need to analyze the self-similar patterns in the graph.
1. N refers to the number of smaller copies that each iteration creates. Look for the ratio between the size of the pre-image and the size of the first iteration. Count the number of smaller copies or similar patterns that can be observed at the first iteration's level.
2. r refers to the scaling factor between the size of the pre-image and the size of the first iteration. To determine this, compare the size of the pre-image with the corresponding size of the first iteration. The scaling factor can be calculated by dividing the size of the first iteration by the size of the pre-image.
By identifying N and r, you will have the necessary information to calculate the dimension of the fractal figure using the formula: Dimension = (log(N)) / (log(1/r)).
Remember, the dimension of a fractal figure represents its self-similarity and how it fills space differently than regular geometric shapes.