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Why is the interior angle sum of an n-gon (n-2)×180°?

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Howie Hua

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11,722 görüntüleme • 8 ay önce •via X (Twitter)

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n₁ sin θ₁ = n₂ sin θ₂ Watch this laser hit the glass-air boundary. At first, it bends out (refraction). Then... boom. Angle exceeds the critical θ_c = arcsin(n₂/n₁) ≈ 42° for glass (n≈1.5), and every photon turns back inside. No leakage. Pure total internal reflection. This is why fiber optics carry the internet across oceans without losing signal. Why diamonds sparkle like crazy. Why light can get trapped in a stream of water.
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