Greg Egan on Nostr: No smooth curve that lies on a sphere can contain an inflection point (a point where ...
No smooth curve that lies on a sphere can contain an inflection point (a point where the curvature is zero).
But on a surface of constant negative curvature, like this tractroid, no such obstacle exists, and every non-meridian geodesic on the tractroid has 2 inflection pts (black).
Published at
2024-04-21 07:26:26Event JSON
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"content": "No smooth curve that lies on a sphere can contain an inflection point (a point where the curvature is zero).\n\nBut on a surface of constant negative curvature, like this tractroid, no such obstacle exists, and every non-meridian geodesic on the tractroid has 2 inflection pts (black).\n\nhttps://media.mathstodon.xyz/media_attachments/files/112/308/018/651/774/660/original/8556afd6712d6131.png",
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