The Ammann-Beenker tilings revisited
arXiv:1208.3545
Abstract
This paper introduces two tiles whose tilings form a one-parameter family of tilings which can all be seen as digitization of two-dimensional planes in the four-dimensional Euclidean space. This family contains the Ammann-Beenker tilings as the solution of a simple optimization problem.
7 pages, 4 figures