With apologies to Prof. Tolkien...
If the Númenoreans had been mathematicians, perhaps the rhyme of lore Gandalf quotes to Pippin during the ride from Rohan to Gondor in the Lord of the Rings would have been something like:
Tall ships and tall kings
Three times three
What brought they from the foundered land
Over the flowing sea?
Seven points and seven lines
In one geometry:
Every point met three lines,
Every line met points three,
Every pair of points connected,
Every line pair intersected.
Draw a picture of this alternate universe Númenorean geometry.
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