A note on a self-similar tiling generated by the minimal Pisot number

作者:Luo J*
来源:Fractals-Complex Geometry Patterns and Scaling in Nature and Society, 2002, 10(3): 335-339.
DOI:10.1142/S0218348X02001245

摘要

This note considers a self-similar tiling T of the complex plane generated by the minimal Pisot number beta. It will show that the boundary of every tile in T is a simple closed curve, hence each tile is homeomorphic to the unit disk.