Fractals for violin and clarinet in B-flat (2016)
I.     Chaos Theory I
II.     Cantor Set
III.    Expanding Symmetry I
IV.    Canon
V.     Expanding Symmetry II
​VI.    Chaos Theory II

The term “fractal” was first used by mathematician Benoît Mandelbrot in 1975. It was based on the Latin term frāctus, meaning “broken” or “fractured.” Mathematically driven by recursion, a fractal is a never-ending pattern. It can evolve into complex patterns that are self-similar across all scales in an ongoing feedback loop. It serves as the basis for chaos theory, which examines the behavior of dynamic systems that are highly sensitive to initial conditions, causing a response popularly known as the butterfly effect. Fractals are also widely observed in nature in forms such as clouds, trees, mountains, seashells, etc. It is the imageries of such spectacular fractal designs and the theories behind them that inspired this composition.

(07/25/2021)

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