论文标题
三角纸牌
Triangle solitaire
论文作者
论文摘要
独立性的单位是类似于经典15个插头的群体素，该动作提供了有关完全极端电向的子移位中独立坐标集的信息。我们研究具有三角形的纸牌，这对应于半径为1/2的双晶细胞自动机的时空图。我们给出了多项式时间算法，该算法将平面的任何有限子集以正常形式使用纸牌移动放置，并表明连续线的单层轨道（线轨道）的词汇轨道（线轨道）完全以填充矩阵的概念为特征。我们表明，在纸牌移动下，线轨道的直径是立方体。
The solitaire of independence is a groupoid action resembling the classical 15-puzzle, which gives information about independent sets of coordinates in a totally extremally permutive subshift. We study the solitaire with the triangle shape, which corresponds to the spacetime diagrams of bipermutive cellular automata with radius 1/2. We give a polynomial time algorithm that puts any finite subset of the plane in normal form using solitaire moves, and show that the solitaire orbit of a line of consecutive ones -- the line orbit -- is completely characterised by the notion of a fill matrix. We show that the diameter of the line orbit under solitaire moves is cubic.
