Math, Arts, Culture and Creativity (MACC): Crystallographic Symmetries in Repeating Patterns in the Klein Bottle and Tboli Baskets


The Math, Arts, Culture and Creativity (MACC) project aims to analyze symmetry structures of tilings and patterns on the Klein bottle, emphasizing their applications in nanotechnology. It seeks to create artistic renderings of the Klein Bottle for aesthetic purposes and as teaching materials for geometry and abstract algebra.

The project also proposes to analayze T'boli basket weaves and understand how their decorative patterns address the challenge of adorning the surface of a three-dimensional object and influence specific crystallographic space groups. It aims to experiment with creating indigenous basket patterns using various mathematical layer group structures.