Talk:Simplex

There are alternative vertex coordinates that don't require an extra dimension (but the simplex is not centered at the origin): Galoomba (talk) 13:38, 12 October 2020 (UTC)
 * 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.