%0 Journal Article
%T A new multidimensional slow continued fraction algorithm and stepped surface
%A Maki Furukado
%A Shunji Ito
%A Asaki Saito
%A Jun-ichi Tamura
%A Shin-ichi Yasutomi
%J Mathematics
%D 2013
%I arXiv
%X 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.
%U http://arxiv.org/abs/1310.7781v1