I dont think all guitars are based on Les Pauls and strats really. If I am correct, Rickenbacker made the first commercially available electric, with Fender making the first mass produced solid body, being the broadcaster, now called telecaster.
There are many many different designs and influences, Paul Reed Smith's guitars are very heavily influenced by old Les Paul Juniors (which are very different to Lp Standards)...

However, it is true that the guitar producing world has been split into two worlds, largely because of the Lp and Strat...so I guess you could say any 2humbucker guitar ( with a set neck, often mahogany) is influenced by the Les Paul, whilst any guitar with a bolt on neck is influenced by the strat...but they are usually just influenced by...not knock offs, if you get what I am saying