A Note on Objects Built From Bricks without Corners
Computational Geometry
2007-05-23 v1 Discrete Mathematics
Abstract
We report a small advance on a question raised by Robertson, Schweitzer, and Wagon in [RSW02]. They constructed a genus-13 polyhedron built from bricks without corners, and asked whether every genus-0 such polyhedron must have a corner. A brick is a parallelopiped, and a corner is a brick of degree three or less in the brick graph. We describe a genus-3 polyhedron built from bricks with no corner, narrowing the genus gap.
Keywords
Cite
@article{arxiv.cs/0307042,
title = {A Note on Objects Built From Bricks without Corners},
author = {Mirela Damian and Joseph O'Rourke},
journal= {arXiv preprint arXiv:cs/0307042},
year = {2007}
}
Comments
5 pages, 3 figures