A new multidimensional slow continued fraction algorithm and stepped surface
Number Theory
2013-10-30 v1
Abstract
We give a new algorithm of slow continued fraction expansion related to any real cubic number field as a 2-dimensional version of the Farey map. Using our algorithm, we can find the generators of dual substitutions (so-called tiling substitutions) for any stepped surface for any cubic direction.
Cite
@article{arxiv.1310.7781,
title = {A new multidimensional slow continued fraction algorithm and stepped surface},
author = {Maki Furukado and Shunji Ito and Asaki Saito and Jun-ichi Tamura and Shin-ichi Yasutomi},
journal= {arXiv preprint arXiv:1310.7781},
year = {2013}
}
Comments
41 pages, 9 figures