An artificial finite-element model consisting of a finely gridded geodesic dome clamped to a coarsely gridded rectangular base. Because of the difference in gridding factors, the interface nodes on the base have a very high order. The strange gridding plays havoc with orderings based on level structures, and is nearly a worst case for the Gibbs-Poole-Stockmeyer heuristic. Reverse Cuthill-McKee and Gibbs-Poole- Stockmeyer are nearly a factor of two away from obtaining the minimum bandwidth of this problem. General sparse methods fair well despite the strange gridding.