Cosh²(x) + Cosh²(y) = π + 3/4π is approximately the unit circle
Cosh²(x) + Cosh²(y) = N approaches a square as N→∞pic.twitter.com/BowV3xHmjm
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I should clarify: The square however does not approach *a* square of fixed size. It is actually unbounded. Rather it "looks" more like a square as N→∞.
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They all looked the same to me until I removed my topological glasses.
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This is essentially because e^x + e^y = N looks like a corner for "small" x, y
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