In the Romanesco broccoli pictured below [1], if we zoom in on part of the image, the piece remaining looks similar to the whole. To scale a D-dimensional shape by a scaling factor S, the numb...In the Romanesco broccoli pictured below [1], if we zoom in on part of the image, the piece remaining looks similar to the whole. To scale a D-dimensional shape by a scaling factor S, the number of copies C of the original shape needed will be given by: To find the dimension D of a fractal, determine the scaling factor S and the number of copies C of the original shape needed, then use the formula
In the Romanesco broccoli pictured below[1], if we zoom in on part of the image, the piece remaining looks similar to the whole. Similarly, if we zoom in on the coastline of Portugal[3], each zoom rev...In the Romanesco broccoli pictured below[1], if we zoom in on part of the image, the piece remaining looks similar to the whole. Similarly, if we zoom in on the coastline of Portugal[3], each zoom reveals previously hidden detail, and the coastline, while not identical to the view from further way, does exhibit similar characteristics. For step 2, each of the four line segments of step 1 is replaced with a scaled copy of the generator:
