paper

Unfolding Polycube Trees with Constant Refinement

arXiv:1811.01842

Abstract

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.

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)