Given a set of points $A,B,C,D$ which have $4$ or more coordinates. Is it possible to find a hyperplane equidistant to all the points and how could this plane be defined. Is it possible to get a interval for all the coordinates that describes this hyperplane?
2026-04-03 04:52:13.1775191933
Find a plane (hyperplane) equidistant from $n$ number of points (more then $2$)
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Hint: Given any 2 points, any plane that passes through their midpoint would be equidistant to both of these points.
Corollary: Take any hyperplane that contains the midpoint of $AB$ and $CD$.