In case you want to test your theory against known positions that have proven difficult to classify, here are a couple of useful links:
As many others, I too have gone down the road and tried to define an eye. The only two useful definitions I found were "an area that contains a liberty that can only be removed last" (good for teaching the rules) and Bensons definition of unconditional life
Maybe you'll find something else! Happy hunting!
Cheers,
-Bass
Thank you for the links. They look very interesting I think I found some nice property about the double headed dragon and omitting Conner stones.
My first hunt is to identify properties using my method. And with all sorts of examples it could be possible to identify the differences.