Exploring the Mechanics of Cows and Bulls

[martix]

I am unsure where to put this, but here goes...

I suppose you all know that guessing game - Cows and Bulls or Mastermind or anything with the same general idea. :) Requireing nothing more thant a pen and paper, I remember we used to play it when we got bored in classes, worked just fine in passing the time.

After a while we got to a point where we solved each others numbers in 5-7 moves and it seemed increasingly that at this point luck and whoever started first had more to do with winning than thinking. So we began wondering about the mechanics of the game.
Like what's the minimum number of moves you need to guess the number. What moves should be must. How would it work with diffrent numerical systems/diffrent number of symbols/digits to guess. What is the optimal ratio of digits-positions and repeating digits are a bit confusing as well.
Maybe some of you can even figure out a math algorithm for an optimal solution.

 

[Valkarie]

:)Anyway, it's been a while since we got to play but I'm sure I still have my notes somewhere around and if any of you want help with the game just let me know.

 

[tacman]

It's fascinating to see how a simple game like Cows and Bulls can spark curiosity and lead to exploring its mechanics. It's true that at first glance, the game may seem like a game of luck, but as you and your friends discovered, there is actually a strategy involved in guessing the number.

It's interesting to think about the minimum number of moves needed to guess the number and what moves are essential in getting closer to the solution. And you bring up a great point about how the game would work with different numerical systems and symbols. It definitely adds another layer of complexity to the game.

I'm sure there are math algorithms and strategies that can be developed for an optimal solution, and it would be exciting to see what those are. The game of Cows and Bulls may seem simple, but it's clear that there is a lot more to it than meets the eye.

Overall, it's great to see that a simple game can inspire curiosity and exploration. It shows that even the smallest things can lead to bigger discoveries and learning experiences. Thank you for sharing your thoughts on the mechanics of Cows and Bulls!