Iteration and Geometric Fractals - Alex Gheorghiu
28th February 2015
When a process is repeated on the previous result of applying the same process, we call this iteration: it can yield some very strange results, ranging from how numbers like the square root of 2 can be written, or how simple shapes like triangles can give new shapes with strange structures, enormous perimeters and comparatively small areas. In both the number case and the shape case, self-repeating patterns emerge which can be exploited to understand these very strange mathematical objects - an insight into the complex structures that appear all over nature.