The bulk of the Riddermark is 200 squared miles.
Gimli is over 500 miles from home.
His path with Aragorn and Legolas is linear, so it is 1-dimensionel.
There are tens of thousands of horses that are wild or tamed in the Mark.
Gimli's footstride is 9-15" at given times.
The average horse relieves itself 5 times a day.
Gimli should go to Vagas. He beat the odds, and now have Meras feces on his left boot.
[I suppose instead of Vagas, a Kentucky Derby pun should be inserted....]
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Lincoln cosmopolitan history