View Full Version : Sphere Center of four point

02-19-2009, 07:28 PM
I have 4 particles randomly.

I wantto get a point that distance are all same with these each of four point .

by another way to describe :
I have 4 points.And I need a sphere center coordinates that these 4 points are on these sphere surface.(thus each these 4 point to center point distance are all same)

is there a fast way to do this ?
or I have to code hundreds of codes

02-20-2009, 09:17 AM
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.

02-20-2009, 09:24 AM
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

02-20-2009, 01:38 PM
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)

02-20-2009, 05:13 PM
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.......

02-20-2009, 10:51 PM
useful link .thanks

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