Fractal Art Week
Have you ever wondered how to create artworks like the ones above?
The answer is: substitution tilings.
The main idea of a substitution tiling is to use a set of building blocks. In this set, each block is made up of smaller blocks having the same shape as the original set. These smaller blocks are made up of even smaller blocks, and so on. For example, let's take a square. Now, we can use 4 smaller squares to build it. And then, 4 even smaller squares.
Some well known examples of substitution tilings are:
Pinwheel tilingAmmanntilingsRep-tiles, such as Sphynx, Gosper Island and Koch Snowflake
Tiling Encyclopedia is a g