As starting points for design explorations, corporate logos are ideal. They often distill a single idea into simplified geometric form that is straightforward to parameterize in Mathematica. Once a logo is in Mathematica, exploring its parameter space quickly leads to the discovery of new graphic phenomena, emergent forms, unexpected relationships, and burgeoning lines of inquiry. Mathematica’s very high-level programming and interface constructs help your explorations keep pace with your brain as it flings out new ideas left and right.

Check out the whole article: Exploring Logo Designs with Mathematica.