CONCRETE POLYTOPES MAY NOT TILE THE SPACE

Authors

Alexey Garber, The University of Texas Rio Grande Valley
Igor Pak

Document Type

Article

Publication Date

7-2020

Abstract

Brandolini et al. conjectured in (Preprint, 2019) that all concrete lattice polytopes can multitile the space. We disprove this conjecture in a strong form, by constructing an infinite family of counterexamples in ℝ3 .

Comments

© 2019 London Mathematical Society. Original published version available at https://doi.org/10.1112/mtk.12052

Recommended Citation

Garber, A. and Pak, I. (2020), CONCRETE POLYTOPES MAY NOT TILE THE SPACE. Mathematika, 66: 920-926. doi:10.1112/mtk.12052

Publication Title

Mathematika

DOI

10.1112/mtk.12052