Talk:Simplex

There are alternative vertex coordinates that don't require an extra dimension (but the simplex is not centered at the origin):

• all permutations of $\left(\frac{\sqrt{2}}{2},\,0,\,0,\,...,\,0\right)$
• $(a,\,a,\,a,\,...,\,a)$ where $a = \frac{\left(1-\sqrt{d+1}\right)\sqrt{2}}{2d}$ where $d$ is the number of dimensions.

Galoomba (talk) 13:38, 12 October 2020 (UTC)