|タイトル||On the distribution of patches in tilings|
|講演者||永井 康史 (慶應義塾大学)|
Tiling is a countable set of polygons which can overlap only on their borders and cover the Euclidean plane. In 1970s Penrose found an example of tiling which does not have complete order in the sense that it is not periodic, but has some degree of order in the sense that if we look at some parts of the tiling, we can obtain partial information about the other parts of the tiling. In this talk I shall discuss my work on this incomplete order through the study of distribution of configuratoins in tilings.