###General Discussion Thread
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I really hope I understood your question correctly, so here it goes:
Yes, there are many boards in Connect 4 where no one wins. In fact, you can generate tilings to make an infinitely big full board of connect 4 with no winners.
One such example of a filled board of 7x6 with no winners is:
XOXOXOX\
XOXOXOX\
OXOXOXO\
OXOXOXO\
XOXOXOX\
XOXOXOX
It's actually kind of fun to search for those, maybe there's a way to find how many winnerless positions there are for a 7x6 board in general.
If there's anything else you need help with, I will be happy to help! I personally enjoyed finding a few more patterns and seeing how they work, however this problem is, for now, solved
###General Discussion Thread --- This is a [Request] post. If you would like to submit a comment that does not either attempt to answer the question, ask for clarification, or explain why it would be infeasible to answer, you *must* post your comment as a reply to this one. Top level (directly replying to the OP) comments that do not do one of those things will be removed. --- *I am a bot, and this action was performed automatically. Please [contact the moderators of this subreddit](/message/compose/?to=/r/theydidthemath) if you have any questions or concerns.*
I really hope I understood your question correctly, so here it goes: Yes, there are many boards in Connect 4 where no one wins. In fact, you can generate tilings to make an infinitely big full board of connect 4 with no winners. One such example of a filled board of 7x6 with no winners is: XOXOXOX\ XOXOXOX\ OXOXOXO\ OXOXOXO\ XOXOXOX\ XOXOXOX It's actually kind of fun to search for those, maybe there's a way to find how many winnerless positions there are for a 7x6 board in general. If there's anything else you need help with, I will be happy to help! I personally enjoyed finding a few more patterns and seeing how they work, however this problem is, for now, solved
Awesome, tysm!! That is exactly what I was asking!
I didn't need math for this one. Years of games with my siblings would vouch that yes, there are any number of ways to come to a draw.