We show that every polycube tree can be unfolded with a 4x4 refinement of the grid faces. This is the first constant refinement unfolding result for polycube trees that are not required to be well-separated.
@article{arxiv.1811.01842,
title = {Unfolding Polycube Trees with Constant Refinement},
author = {Mirela Damian and Robin Flatland},
journal= {arXiv preprint arXiv:1811.01842},
year = {2021}
}
Comments
42 pages, 39 figures. Preliminary results for polycube trees of degree at most 3 appeared in CCCG 2018 (polycube trees are referred to as orthotrees in the CCCG paper)