论文标题
hitomezashi模式的扩展
Extensions of Hitomezashi Patterns
论文作者
论文摘要
hitomezashi是一种传统的日本刺绣形式，引起了平行平行单位长针的复杂布置。皮特在渗透理论的背景下研究了这些模式，前两位作者最近研究了它们的其他结构特性。在本文中，我们在hitomezashi模式上建立了几种优化风格的结果，并提供了“长缝” hitomezashi模式的完整分类，其中针迹的长度大于1。我们还研究了针迹的变体，其中针迹可以具有与坐标轴平行的方向。
Hitomezashi, a form of traditional Japanese embroidery, gives rise to intricate arrangements of axis-parallel unit-length stitches in the plane. Pete studied these patterns in the context of percolation theory, and the first two authors recently investigated additional structural properties of them. In this paper, we establish several optimization-style results on hitomezashi patterns and provide a complete classification of "long-stitch" hitomezashi patterns in which stitches have length greater than 1. We also study variants in which stitches can have directions not parallel to the coordinate axes.
