[xuusdjhz] Go with multiple stones per play

Consider a variation of go 囲碁 where each side can play multiple stones per move.  Then, a group needs at least N+1 liberties so as not to be immediately killable.

What is the limit behavior (playing strategy) as N tends to infinity (and the board size consequently larger)?

Is there a continuous version of go, involving moves of area instead of sets of points?

I suspect fractals will be involved.