Searching for the balance (swap 1 connect 6)

Public forum discussion.

#1 · Andrew_Marshall

30 Mar 2024

I wonder if we are playing at semi/quaver infinite board, where should we start to play black 1 to make a balance position?

btw:"balance" doesn't means that its theoretical draw, but mean that the win rate is very closed to lose rate!

#2 · eeoo

3 Apr 2024

Hey Cheating guy, wouldn't you use your AI program to run it yourself?


I'll answer purely because it's an interesting question.

足够大的有限棋盘,离盘端6线起,即X>=6,因为在5线的子被6线挡住就少了作为冲4的机会,这样的黑1所在盘端平行线上有天然缺陷;X,N是我证明过的19路必胜型所需的最小盘端距离;

无限棋盘,以六子棋的攻击力而言,应该不存在理论平局,因为对于足够开阔地区的绝对先手,如特定冲4或活3,对方必须花至少一子防守,然后另一子如果不能同样有效反攻,则先攻者在开阔地区或外围就有极大的子数优势。对于无限区域,除非有某种规律性的平铺式走法,否则只要累积出一个很小优势就可能脱先。猜测无限棋盘中心平衡开局能分胜负的,边角开局也能分胜负,像四子棋可证简明必胜或必败,单步六子棋很可能是必和,八子棋有平铺性质的必和证明,五子棋的攻击力没有六子棋强,应该还有可能在无限棋盘打破策梅洛定理。

btw: The "balance" of win rate is meaningless, it depends on the player's level. let the monkey play that's balanced all over the place, let God play that's only sure win and sure lose.

#3 · Andrew_Marshall

12 Apr 2024

I guess (9,10) is a balance starting point on 1/4 infinity board. But im not very sure!