One of the more creative variations of Go that I have seen during my career involves a three-dimensional grid that serves as the goban.
We used to have one in our Go club Go7, (the one that was presented at EGC 2007 in Villach/Austria,) but one day it disappeared without a trace. It seemed legit enough, so nobody cared to pursue its whereabouts.
Below is the only picture I took of it:
The “board” is sized 7x7x7, giving 343 intersections. Each single stone has a minimum of 3 and a maximum of 6 liberties.
The upper part of this construction consists of 7 layers of 7×7 grids. Each layer can be pulled out to place a stone on it.
The lower part serves as a copy of the goban and displays each layer seperately. For clarification I suppose.
As interesting as it looks, it wasn’t very fun to play on it:S
It’s near impossible to capture stones or surround territory, thus each game ended in a whole-board seki.