# generalization of tetrahedron

I just want to know how to locate n+1 points in n dimensional real space such that the distance between any two points is 1 e.g. can you guys help me please?

• I think en.wikipedia.org/wiki/Simplex should be able to help you out. Mar 20 '13 at 17:01
• I think this is not what I want.. Mar 20 '13 at 17:08
• This describes the general format of the solid whose vertices are exactly the set you describe. The edges are of course wrong. Maybe en.wikipedia.org/wiki/5-cell looks better for your purposes? Mar 20 '13 at 17:11
• It's easier to locate the n+1 points in a hyperplane in n+1 dimensional space. Mar 20 '13 at 17:42

In the Wikipedia article under "Cartesian coordinates for regular n-dimensional simplex in R$^n$" a process is described that results in just this. It works in any dimension.