A look at VG sucession

Well I was playing around with SNES and PSX controller and I had a thought. Is it possible that the two consoles have some relation? They have very similar button configurations despite the fact that the Nintendo 64 and Playstation were dire competitors in a war of cartridges vs. CDs. So I decided to do some investigating in order to see for myself if the Playstation could be the true successor to the SNES.