The Construction of Self-Similar Tilings
Metric Geometry
2016-09-06 v1
Abstract
We give a construction of a self-similar tiling of the plane with any prescribed expansion coefficient (satisfying the necessary algebraic condition of being a complex Perron number). For any integer we show that there exists a self-similar tiling with -rotational symmetry group and expansion if and only if either or is a complex Perron number for which is in , respectively .
Keywords
Cite
@article{arxiv.math/9505210,
title = {The Construction of Self-Similar Tilings},
author = {Richard Kenyon},
journal= {arXiv preprint arXiv:math/9505210},
year = {2016}
}