4 ms·
I would love to see AlphaZero play go on other manifolds than the plane. I and some friends attempted to play 3-space go, toroidal go, and go with other mathem
by loxias 6y ago
I would love to see AlphaZero play go on other manifolds than the plane.
I and some friends attempted to play 3-space go, toroidal go, and go with other mathematical roadblocks a long time ago. It was fun for a few weeks, and we even discovered some interesting properties about where life can exist on a torus, but a computer could do much better. And I'd love to just see the answers.
- neolog 6y agoHow do you define "surrounded" on a torus?
- luhem7 6y agoA toroidal plane wraps around left to right and also top to bottom. The left and right edges are connected and the top and bottom edges are connected. I would imagine the definition of surround would have to be modified accordingly.
- joelthelion 6y agoThe actual Go concept is 'no liberties'. That works on any topology.
- kadoban 6y agoI think it's obvious. For capture, the definition doesn't change (it's based on no liberties). Depending on the ruleset you don't need more than capture, territory/score/winner can be defined from that. Conceptually it's fine anyway though, territory is spaces reachable over cardinal directions via empty spaces or dead stones from only one person's living stones.