Fractals: the Geometry of Chaos
Fractals are self-similar objects with fractional dimension . These objects can be constructed using dynamical systems, and expressed geometrically. The dynamical systems used in these constructions have chaotic properties. These properties are density, transitivity, and sensitivity to initial conditions. The most primitive fractal set is the cantor middle thirds set. Fractal geometry is distinct from Euclidean geometry and can be used to better model natural phenomenon.
MATH 499, Senior Capstone
Connie Wilmarth
Banquet Room
1 – 3 PM