Distances from the vertices of a regular simplex

Mowaffaq Hajja, Mostafa Hayajneh, Bach Nguyen +1

If $S$ is a given regular $d$-simplex of edge length $a$ in the $d$-dimensional Euclidean space $\mathcal{E}$, then the distances $t_1$, $\cdots$, $t_{d+1}$ of an arbitrary point i…