Sphere Center of four point

[BigRoyNL]

If you have four points generated randomly there's a chance (even bigger chance in 2d) that it's impossible to draw a 'circle'/'sphere' through all these points.. Like when the points are in 'one' line. Or when three points are in one line..

This is important to remember and understand.

[Dontnoun]

if three point of them, position in one line, you can not get result in theory ,
I would rather do it like this
create a sphere,
create four point on sphere surface,then rand them position on surface

[claudiof]

and my problem starts here.
because there is no sphere.
there is 4 points (randomly) waits me to built a sphere by using all of them.
(a point as a sphere center that each distance of these 4 points must be same)

[tbaypaul]

got my solution via this page....sorry unable to share. But all you have to do is form the cofactor matrices and solve for their determinant.......

http://local.wasp.uwa.edu.au/~pbourke/geometry/spherefrom4/

[claudiof]

useful link .thanks

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