(February 23, 2022 at 5:12 pm)highdimensionman Wrote:(February 23, 2022 at 10:34 am)polymath257 Wrote: And we similarly define a sphere in three dimensions the same way. The same definition even works in any metric space, although there are some counter-intuitive situations in that generality.
There is a another curved shape that follows as a set of all points that are equidistant from a given point. Unfortunately I can't remember what the geometry was called and can't find it anywhere now. I'll keep looking though.
It's hard to take what you are posting seriously. From the perspective of modern mathematicians, this topic is very well understood:
Wikipedia -- Curvature
The fact that you are searching on this topic strains credulity.
