A SINGLE FRACTAL PINWHEEL TILE

作者:Bandt Christoph*; Mekhontsev Dmitry; Tetenov Andrei
来源:PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146(3): 1271-1285.
DOI:10.1090/proc/13774

摘要

The pinwheel triangle of Conway and Radin is a standard example for tilings with self-similarity and statistical circular symmetry. Many modifications were constructed, all based on partitions of triangles or rectangles. The fractal example of Frank and Whittaker requires 13 different types of tiles. We present an example of a single tile with fractal boundary and very simple geometric structure which has the same symmetry and spectral properties as the pinwheel triangle.

  • 出版日期2018-3