The Secrets of the Wave Pilots
nytimes.com
nytimes.com
"But recent studies have shown that people who use GPS, when given a pen and paper, draw less-precise maps of the areas they travel through and remember fewer details about the landmarks they pass; paradoxically, this seems to be because they make fewer mistakes getting to where they’re going. Being lost — assuming, of course, that you are eventually found — has one obvious benefit: the chance to learn about the wider world and reframe your perspective."
http://www.amazon.com/We-Navigators-Ancient-Landfinding-Paci... It documents a study done of other Pacific Islanders who use waves to navigate. Hawaii was discovered because islanders observed swells from storms in the North Pacific being attenuated as the storm passed 'behind' the island chain.
Islanders also used a completely different form of celestial navigation that involved following series of stars as they rose and set on the horizon. I.e., follow Antares while it is < 10° over the horizon, then follow Pollox, etc until you reach Papeete.
What if, they conjectured, the ‘‘road’’ isn’t a single wave reflecting back and forth between every possible combination of atolls and islands; what if it is the path you take if you keep your vessel at 90 degrees to the strongest swell flowing between neighboring bodies of land? Position your broadside correctly, smack in the di lep’s path, and your hull would rock symmetrically, side to side — in a manner that would turn a loose cabbage into a pendulum and teach an anthropologist, a physicist and an oceanographer a hard lesson about the human gastrointestinal system’s adaptation to life at sea. In other words, it was as Joel’s uncle had, it turned out, told them: The di lep feels like pidodo, diarrhea. We might have been riding it all along."
I don't follow the math if there are 34 atolls, wouldn't there be just 527 paths between them?
If you want the number of unique trips that visit each island once, thats 34!, or 2.95e38. If you want the number of edges in a complete undirected graph, that's (34*(34-1))/2, or 561.
Maybe when you account for currents the route from one atoll to another might be different than the same trip in reverse. If so there could be 1122 paths.