## 2.05.2006

**[erosion_table_study/test_3/results]**

i calculated the fractal dimension of each test using the box counting method which is used primarily in calculating the fractal dimension of coastlines and other similar fractals. by imposing a square unit grid over an overhead image of the test, and then counting the number of boxes that the test’s coastline came into contact with, a resulting value was achieved. this same process was repeated as the imposed unit grid became finer, revealing a data set that is graphed onto the double logarithmic plot above. the resulting line indicates the slope for the data set revealing the calculated fractal dimension.

the fractal dimension of this particular study was 1.30074. a straight line for example has a dimension of 1 while a square has a dimension of 2. this particular test’s fractal dimension is very similar to the koch snowflake’s dimension of 1.25.

posted by michael freeman flynn at 2:42 PM