The golden $L$ is a translation surface that has received much attention recently in the theory of billiard dynamics. It is built out of a $1 \times 1$ square with $1 \times \phi$ and $\phi\times1$ rectangles glued to it along their length-$1$ sides. See for example this [preprint][1].


  [1]: https://arxiv.org/abs/1810.11310