An aperiodic tiles machine
نویسندگان
چکیده
The results we introduce in this work lead to get an algorithm which produces aperiodic sets of tiles using Voronoi diagrams. This algorithm runs in optimal worst-case time O(n log n). Since a wide range of new examples can be obtained, it could shed some new light on non-periodic tilings. These examples are locally isomorphic and exhibit the 5-fold symmetry which appears in Penrose tilings and quasicrys-tals. Moreover, we outline a similar construction using Delaunay triangulations and propose some related open problems.
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عنوان ژورنال:
- Comput. Geom.
دوره 23 شماره
صفحات -
تاریخ انتشار 2002