Twofold Translative Tiles in Three-Dimensional Space
Metric Geometry
2021-06-30 v1
Abstract
This paper proves the following statement: {\it If a convex body can form a twofold translative tiling in , it must be a parallelohedron.} In other words, it must be a parallelotope, a hexagonal prism, a rhombic dodecahedron, an elongated dodecahedron, or a truncated octahedron.
Keywords
Cite
@article{arxiv.2106.15388,
title = {Twofold Translative Tiles in Three-Dimensional Space},
author = {Mei Han and Qi Yang and Kirati Sriamorn and Chuanming Zong},
journal= {arXiv preprint arXiv:2106.15388},
year = {2021}
}