Artists
Statement
Tessellation is one of the best ways to express the mathematical nature of shapes and spaces. We have pursued tessellation designs of shapes and spaces, using familiar shapes like animals to be seen by a wide range of people. More recently, we focus on applying tessellation designs to reveal the hidden properties of the objects around us, including newly discovered aperiodic monotiles.
Artworks
This visualization illustrates a recently discovered Hat, an aperiodic monotile known for its ability to form plane tilings without translational symmetry. It is based on substitutive structures proposed by the author. The visualization employs various shades of gray to represent different levels of Conway worms, which are one-dimensional tile sequences often found in aperiodic tilings. Additionally, it features three types of white patches: two are 3-folds, and the other is a 2-fold, serving as connections for the 1st level worms.