---
title: A Note on Objects Built From Bricks without Corners
url: https://www.emergentmind.com/papers/0307042
type: paper
arxiv_id: '0307042'
arxiv_url: https://arxiv.org/abs/0307042
published: '2003-07-17'
categories:
- cs.CG
- cs.DM
---

# A Note on Objects Built From Bricks without Corners

## 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.