@inproceedings{dd3b11441d844476a3aa7808a01f1314,
title = "Slopes of 3-dimensional subshifts of finite type",
abstract = "In this paper we study the directions of periodicity of three-dimensional subshifts of finite type (SFTs) and in particular their slopes. A configuration of a subshift has a slope of periodicity if it is periodic in exactly one direction, the slope being the angles of the periodicity vector. In this paper, we prove that any [Formula Present] set may be realized as a a set of slopes of an SFT.",
author = "Etienne Moutot and Pascal Vanier",
note = "Publisher Copyright: {\textcopyright} 2018, Springer International Publishing AG, part of Springer Nature.; 13th International Computer Science Symposium in Russia, CSR 2018 ; Conference date: 06-06-2018 Through 10-06-2018",
year = "2018",
month = jan,
day = "1",
doi = "10.1007/978-3-319-90530-3\_22",
language = "English",
isbn = "9783319905297",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "257--268",
editor = "Podolskii, \{Vladimir V.\} and Fomin, \{Fedor V.\}",
booktitle = "Computer Science - Theory and Applications - 13th International Computer Science Symposium in Russia, CSR 2018, Proceedings",
}