@article{d77fd9583c664ae0b16fbe3cabc94d06,
title = "An integer parallelotope with small surface area",
abstract = "We prove that for any n∈N there is a convex body K⊆Rn whose surface area is at most n[Formula presented]+o(1), yet the translates of K by the integer lattice Zn tile Rn.",
keywords = "Integer lattice, Surface area, Tiling bodies",
author = "Assaf Naor and Oded Regev",
note = "Funding Information: A.N. was supported by NSF grant DMS-2054875 , BSF grant 201822 , and a Simons Investigator award ( 882965 ). O.R. was supported by NSF grant CCF-1320188 and a Simons Investigator award ( 623489 ). Publisher Copyright: {\textcopyright} 2023 Elsevier Inc.",
year = "2023",
month = nov,
day = "15",
doi = "10.1016/j.jfa.2023.110122",
language = "English (US)",
volume = "285",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press Inc.",
number = "10",
}