CubeRootOfTrueCubeRootOfTrue@mathstodon.xyz
Dec 7, 2024, 9:28 PMme: "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.