re sphere from points in article qkgbuinns n shelley u washington edu bolson carson u washington edu edward bolson writes given points non coplanar how does one find the sphere that is center and radius exactly fitting those points finding the circumcenter of a tetrahedron is discussed on page in contouring a guide to the analysis and display of spatial data by dave watson pergamon press isbn p each pair of tetrahedral vertices define a plane which is a perpendicular bisector of the line between that pair express each plane in the form ax by cz d and solve the set of simultaneous equations from any three of those planes that have a vertex in common all vertices are used the solution is the circumcenter dave watson internet watson maths uwa edu au department of mathematics the university of western australia tel nedlands wa australia fax
