When is 3-3 alive?

I gave this one a try and found that I had to expand the playing field to a 12x12 corner for there to be any significant chance of life, but KataGo thinks White is likely to win:

big corner

I think this is about as big as I can go without messing with komi. No idea if it means anything.

It seems like AI is happy to solve “black to live” or “white to kill” tsumego in this configuration. For example, here’s what it thinks of Cho Chikun Intermediate #41:

spoiler alert

image

(Is that a hard one? It’s available as #42 here.)

And here Black only needs the tiniest territory to win. I don’t think this would be a good way to evaluate whether a particular opening slightly favors white or black.

If black can survive at all under the aggressive attacks, it seems like that means he’s probably going to live on an empty board and in many other situations. I would like to have a collection of such strong positions involving the 3-3 point to study for use in games!

Some real game relevance (from this 11x11 game!):

image

I don’t remember exactly what I was thinking, but I suppose that somehow I considered my two 3-3 stones to be strong, A to be a safe way to claim another corner, and B to be a hopeless invasion. So I played at A and gave up on B.

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