2021 Joint Mathematics Meetings
Leo Bleicher
Artists
Statement
Creation of 2D images and 3D objects using evolution requires several elements: generation of new instances, fitness assessment, and recombination of the codes underlying the best instances. In 2002 I began a project to explore a particular class of algorithmically defined images. In these images each step in the algorithm is selected from a collection of compatible and interchangeable geometric operations. While the order of operations matters, any of the operations can be applied at any stage of the process. Thus, within the framework every resultant image is completely defined by the sequence of operations that generates it. In the course of exploring this class, an ever widening landscape of possibilities has been revealed.