Given a complete and separable metric space (X,d), and a finite family, S, of contractions on X, one can construct a compact subset K of X that is invariant under S. This set K is called the fractal set, or attractor set, associated to S. In this talk, we will discuss the construction of the fractal set. As a somewhat loose, but fun, application of fractals, we will then look at one example of the 'fractal-type' phrasing that occurs in many of Bach's compositions. The speaker will conclude with a performance on the violin of a Bach composition.
Constructing the Fractal Set with an Application to the Music of Bach
Constructing the Fractal Set with an Application to the Music of Bach