Speaker: Alexey Karimov
An approach called Inductive Rotation (IR), developed by artist Hofstetter Kurt can be used to create intricate patterns that fill the 2D plane from a single prototile by repeated translations and rotations. Those patterns are aperiodic and have interesting features, both from a mathematical and artistic viewpoint. During the course of my thesis I did some research on the patterns generated by Inductive Rotation and developed algorithms that allow for automatic generation of those patterns. The implementation is called the Irrational Image Generator, a tool that on the one hand is a reference implementation of the IR method, and on the other hand can be used by the artist for further experimentation to fully utilize the artistic possibilities of the IR approach. I have decided on generation algorithms that operate on geometry instead of directly manipulating bitmap data. The program makes use of the GPU through OpenGL to render the resulting patterns as textured polygons.