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Indeed, this route would be about 13,250 km, or about 2,000 km longer than the one TLA suggests.

http://www.gcmap.com/mapui?P=10%B0+24%27+41.4%22+N,+14%B0+31...

Or, using nearby airports: https://www.greatcirclemap.com/?routes=gucy-vmmc

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It seems like that path crosses the Suez canal. I think it's fair that bridges and/or tunnels don't count.
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The one they give also crosses numerous rivers and lakes. For the strict version of the challenge where you literally can't cross water it's likely that the best solution is across Antarctica. Guaranteed by temperature to contain no water whatsoever.
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technically Antarctica is covered in (solid) water.

"technically incorrect the worst kind of incorrect".

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> Guaranteed by temperature to contain no water whatsoever.

Depends on where and when.

Plenty of puddles form around the bases in summer.

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I'm confident that the Land Paths need bridges to cross the numerous rivers along the route. You need a different qualifier.
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If you are talking about the trail from Cape Town to Vladivostok, that one is not a straight line.
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In passing, https://en.wikipedia.org/wiki/Paul_Salopek is walking from Ethiopia to Tierra del Fuego, tracing the path of human migration out of Africa. Walking the coast, not a straight line.
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They aren't, as clicking through on a sibling's link demonstrates. Moreover, Senegal is nowhere near Cape Town.
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That would an interesting finding!
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