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Mixed Speeds, Best Path
Author:
John Golden
I was reading about some optimal ants this morning, that choose the fastest path as opposed to the shortest path. This is a classic problem in math, and that idea is known as Fermat's Principle. So I was curious about making an experiment in GeoGebra for this idea. How good are people at finding the best path? Ants:
http://cab1729.tumblr.com/post/46932123377/ants-follow-fermats-principle-of-least-time-ants
Fermat's Principle:
http://en.wikipedia.org/wiki/Fermat%27s_principle
Tim Pennings' dog, who also has studied Fermat:
http://www.maa.org/features/elvisdog.pdf
Can you find the best path? What about in general: which factors matter? How do they determine the best path?
More GeoGebra at
mathhombre.blogspot.com
.
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