Mathematical Hints for Parameter Selection for AA Patterns

Abdalla G. M. Ahmed
Proceedings of Bridges 2011: Mathematics, Music, Art, Architecture, Culture (2011)
Pages 271–278 Regular Papers


``AA Patterns'' is the collective name of a recently introduced algorithmic art, where a simple affine 2D transformation is employed to generate aesthetic patterns. AA Patterns are controlled by a single real parameter between 1 and 2. This paper presents examples of how mathematical analysis can help in selecting and tuning the pattern parameter in such a way as to attain certain features in the generated pattern.