fatcousin
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finite volume · infinite surface area · you can fill it with paint but never paint it · runs locally
max x = N
10
volume
π(1−1/10) = 2.8274 → π
surface area
≈ 2π·ln(10) = 14.47 → ∞
V = π∫₁ᴺ(1/x)²dx = π(1−1/N) → π · SA = 2π∫₁ᴺ(1/x)√(1+1/x⁴)dx > 2π·ln(N) → ∞ · paint paradox
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