Iglesias Valiño, ÓscarSantos, Francisco2025-01-312025-01-312017Iglesias Valiño, Ó., & Santos, F. (2017). Classification of empty lattice 4-simplices of width larger than 2. Electronic Notes in Discrete Mathematics, 61, 647-653. https://doi.org/10.1016/j.endm.2017.07.0191571-0653http://hdl.handle.net/2183/41000©2017 Elsevier B.V. All rights reserved. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/bync-nd/4.0/. This version of the article has been accepted for publication in Electronic Notes in Discrete Mathematics. The Version of Record is available online at https://doi.org/10.1016/j.endm.2017.07.019[Abstract]: Combining an upper bound on the volume of empty lattice 4-simplices of large width with a computer enumeration we prove the following conjecture of Haase and Ziegler (2000): Except for 179 classes, of determinant at most 179, all empty 4-simplices have width one or two with respect to some integer functional.engAtribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/Classification of empty polytopesEmpty simplicesLattice polytopesjournal articleopen access10.1016/j.endm.2017.07.019