Fractal '5 Squares'
Fractal Construction by Sequences of Dilation
This fractal pattern is created from a series of dilation sequences. Here is an outline of the objects and steps in this construction:
H={A,B,C,D,E}
- H is a set of points that will be the centres of dilation.
- S0 is the first polygon to be dilated.
- This sequence command generates a list of objects which are the results of dilating S0 from 5 centres with a factor of 1/3. The centres are the elements of the set H.
- The previous sequence command is used again. This time the object to be dilated is S1, that is the set of 5 objects obtained in the previous step. This process is repeated to create S3, S4 and S5.