Re:Bellman's lost in a forest problem
by rocqua on Monday September 17, 2018 @03:44AM
(#18003925)
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.
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If I'm reading http://wardsattic.com/joomla/Download/BellmanForestProblem.p... correctly, the ratio you're looking for is ≈ 2.0471.
That paper shows the value of visualization... I followed the Bellman Forest Problem link to the Wikipedia page on the Moser's Worm Problem[1] and it didn't do anything for me.
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!