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Oct 11, 2023 at 12:54 history bounty ended mathoverflowUser
Oct 11, 2023 at 12:54 vote accept mathoverflowUser
Oct 11, 2023 at 12:54 comment added mathoverflowUser thanks again for your insight
Oct 11, 2023 at 11:19 comment added Marco Ripà Yes, I know... my point is that as "the lemniscate resembles some toric sections when the cutting plane is tangent to the torus along the circumference of its central hole", you can simply extend the original definition by generalizing the environmental space from $\mathbb{R}^3$ to $\mathbb{R}^4$, getting a 3D lemniscate... then you simply have to coin a proper name into the definition, with the equation, you provide.
Oct 11, 2023 at 11:03 comment added mathoverflowUser thanks , i knew the word lemniscate but i was searching for a 3d version so to say.
Oct 11, 2023 at 10:59 history answered Marco Ripà CC BY-SA 4.0