This Maple Coursework explores Fractals.
Fractals are a common feature of nature. They are self similar objects, that is that as they are examined on a smaller scale a pattern similar to the larger scale is produced. As such fractals have a dimension which, unlike a common 1D or 2D shape, is not an integer and takes a value between 1 and 2. Fractals are very common in nature (coast lines, ice formation, growth) and so measuring their dimension is important in our understanding of fractals. In this coursework, a
boxcount function (which was provided) is used to calculate the fractal dimension of three given fractals.
In this coursework the dimensionally of three fractals was measured using a
boxcount function. Below is an image of the supplied
frac1, with an overlay of the grid used to count the number of occupied boxes.
The three fractals measured were: