What happens for a 1 : 1.1 rectangle? it seems to me that that curve isn't optimal then. If so, what is the ratio for a rectangle where that curve becomes optimal.
In Ward's paper, he summarized Moser's Worm Problem differently (p.7):
In 1966, Moser posed a related problem which roughly asks: “What's the best-shaped hammer for smashing one-inch worms?”
Great visualization!