A Note on Objects Built From Bricks without Corners
<|reference_start|>A Note on Objects Built From Bricks without Corners: 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.<|reference_end|>
@article{damian2003a,
    title={A Note on Objects Built From Bricks without Corners},
    author={Mirela Damian and Joseph O'Rourke},
    journal={arXiv preprint arXiv:cs/0307042},
    year={2003},
    archivePrefix={arXiv},
    eprint={cs/0307042},
    primaryClass={cs.CG cs.DM}
}