I like questions like this. I'm no math expert but I enjoy trying to think through stuff.
I don't think you can get anything but a circle. Since the sphere is the same no matter how you rotate it, just forget about rotations and angles and imagine lowering the plane through the top of the sphere (or left side, or the right side, it doesn't matter which one you imagine because they are all the same). The plane is either tangent, outside, or inside. Those are the only 3 states the plane can be in. However "in" the plane is, the cut is always a circle.
arkinox
npub1ar…rh43w
2024-10-18 14:57:45
in reply to nevent1q…2l9x
Author Public Key
npub1arkn0xxxll4llgy9qxkrncn3vc4l69s0dz8ef3zadykcwe7ax3dqrrh43wPublished at
2024-10-18 14:57:45Event JSON
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"content": "I like questions like this. I'm no math expert but I enjoy trying to think through stuff.\n\nI don't think you can get anything but a circle. Since the sphere is the same no matter how you rotate it, just forget about rotations and angles and imagine lowering the plane through the top of the sphere (or left side, or the right side, it doesn't matter which one you imagine because they are all the same). The plane is either tangent, outside, or inside. Those are the only 3 states the plane can be in. However \"in\" the plane is, the cut is always a circle.",
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