论文标题
Rosa Planar Rosa：一个Quasiperiodic替代离散飞机瓷砖的家族，$ 2N $ - 折旋转对称性
Planar Rosa : a family of quasiperiodic substitution discrete plane tilings with $2n$-fold rotational symmetry
论文作者
论文摘要
我们提出了平面罗莎（Rosa），这是一个由$ 2N $倍的旋转对称性的菱形块家族，由原始替代产生，也是离散平面瓷砖，这意味着它们是作为较高维离散平面的投影获得的。离散平面条件是切割和项目条件的放松版本。我们还证明，Kari和Rissanen定义的具有$ 2N $折叠对称性的sub suba替换砖甚至无法满足较弱的离散平面条件。我们证明了所有$ n \ geq 4 $的结果。这完成了我们先前发布的$ n $奇数结果。
We present Planar Rosa, a family of rhombus tilings with a $2n$-fold rotational symmetry that are generated by a primitive substitution and that are also discrete plane tilings, meaning that they are obtained as a projection of a higher dimensional discrete plane. The discrete plane condition is a relaxed version of the cut-and-project condition. We also prove that the Sub Rosa substitution tilings with $2n$-fold rotational symmetry defined by Kari and Rissanen do not satisfy even the weaker discrete plane condition. We prove these results for all even $n\geq 4$. This completes our previously published results for odd values of $n$.
