Abstract
We characterize the polytopes in Rd (not necessarily convex or connected ones) which multi-tile the space by translations along a given lattice. We also give a necessary and sufficient condition for two polytopes in Rd to be equidecomposable by lattice translations.
Original language | English |
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Pages (from-to) | 1079-1098 |
Number of pages | 20 |
Journal | Bulletin of the London Mathematical Society |
Volume | 51 |
Issue number | 6 |
DOIs | |
State | Published - 1 Dec 2019 |
Bibliographical note
Publisher Copyright:© 2019 Authors(s). The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.
Funding
Funders | Funder number |
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Horizon 2020 Framework Programme | 713927 |
Keywords
- 52B11
- 52B45
- 52C22 (primary)