Is there a theorem that states that n distinct points in R^n-1 or higher one can be separated in an equal distance as the distance is greater than 0?(adsbygoogle = window.adsbygoogle || []).push({});

We know that 4 distinct points in R^2 cannot be positioned in an equal distance>0 but in R^3 it is possible as a pyramid shape.

If there is such a theorem, could you give me reference?

I've posted this on this area because it seems it is a problem of solving a system of equations.

Cheers

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# N distinct points in R^n-1 or higher one can be separated in an equal distance(>0)?

**Physics Forums | Science Articles, Homework Help, Discussion**