Distance between $(0,0,0)$ and $(1,0,0)$: $1$. This is inconsistent, so the given points cannot form a regular tetrahedron. Re-evaluate: The problem likely assumes edge length $\sqrt2$ or similar. Suppose the three points are $(0,0,0)$, $(1,1,0)$, $(1,0,1)$, and find the fourth $(0,1,1)$. Check distances: - Appfinity Technologies