Hat tessellation¶
A tessellation is a way of filling a plane by repeating a set of figures, called tesserae, infinitely. Normally the tessellations are periodic, that is, they are repeated over and over again.
The hat tiling is the first non-periodic tiling in the plane with a single tile. The tile has been discovered in March 2023 and has been a mathematical achievement of the first order.
Below you can see the tessellation of the hat made with a single tesserae.
Tessellation with hat tesserae. The tesserae are colored with four colors, so that no tesserae touches another of the same color.¶
Exercise¶
Print the following document showing hat tessellations. Place the tesserae on a plane so that they form a non-periodic tessellation. Color the tesserae with four different colors, so that no two tesserae with the same color touch each other.
