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I think we're making an assumption that the ground is also "perfect." It would also be entirely possible that the poles would cross each other at one point, depending on the terrain.
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Truly man is the king of beasts, for his brutality exceeds theirs. We live by the death of others: we are burial places! I have from an early age abjured the use of meat, and the time will come when men such as I will look on the murder of animals as they now look on the murder of men. —Leonardo da Vinci
Humankind cannot bear very much reality. —"Burnt Norton," Four Quartets, T. S. Eliot
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