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  • Dec 7, 2024, 9:28 PM

    me: "cylinders are flat"
    It's another freshman's dream

    ChatGPT: To a freshman, who might be learning about Euclidean geometry, the phrase is obviously false. A cylinder is clearly curved, right? But to a graduate student, familiar with concepts like Gaussian curvature, it's an intriguing truth: a cylinder is "flat" because its Gaussian curvature is zero, just like a plane.

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