阿基米德冰
Archimedean Ice
摘要：
在正方形网格上的冰模型中表现出的显著的边界依赖性（北极圈现象）延伸到其他平面设置。我们提出了这些发现的三角形和Kagome格。关键的连接结果保证冰配置可以使用最简单和最有效的本地操作生成。在整个分析过程中使用高度函数。在最后，有一个惊喜在商店：在剩余的阿基米德晶格，冰模型可以定义，3.4.6.4。晶格中，长程行为是完全不同的，从其他情况。
英文摘要：
The striking boundary dependency (the Arctic Circle phenomenon) exhibited in the ice model on the square lattice extends to other planar set-ups. We present these findings for the triangular and the Kagome lattices. Critical connectivity results guarantee that ice configurations can be generated using the simplest and most efficient local actions. Height functions are utilized throughout the analysis. At the end there is a surprise in store: on the remaining Archimedean lattice for which the ice model can be defined, the 3.4.6.4. lattice, the long range behavior is completely different from the other cases.
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