Recall that the Cantor set is formed by starting with a line segment and removing the middle one-third of it, then repeating this rule on each successive figure. If a ruler the length of the original line segment is used, it detects one element in the Cantor set because it can't "see" details smaller than itself. If the ruler is reduced in size by a factor of R = 3, it finds two elements (only solid pieces of line, not holes, are measured). If the ruler is reduced in size by a factor of R = 9, how many elements does it find? Based on these results, what is the fractal dimension of the Cantor set? Explain why this number is less than 1. When the ruler's length is reduced by a factor of R = 9, the ruler will find 4 elements. (Type a whole number.) The fractal dimension is (Type an integer or decimal rounded to the nearest thousandth as needed.)