Looking for an interesting Mathematical problem family

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    Interesting Mathematical
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SUMMARY

The discussion focuses on creating a puzzle game based on mathematical problem families that can be randomly generated and solved without direct mathematical knowledge. Key requirements include the ability to visualize problems through graphics like grids, the potential for trial-and-error solutions, and a method for predicting solvability. The conversation references Conway's Game of Life and the game Nim as inspirations, emphasizing the need for unique, lesser-known mathematical concepts that can enhance single-player gameplay.

PREREQUISITES
  • Understanding of Conway's Game of Life mechanics
  • Familiarity with the game Nim and its strategies
  • Basic knowledge of random problem generation techniques
  • Concepts of trial-and-error problem-solving methods
NEXT STEPS
  • Research unique mathematical problem families suitable for game design
  • Explore algorithms for random problem generation in puzzle games
  • Investigate visual representation techniques for mathematical concepts
  • Learn about game mechanics that encourage single-player engagement
USEFUL FOR

Game developers, mathematicians interested in gamification, and hobbyists looking to create engaging puzzle games without requiring advanced mathematical skills.

spyrustheviru
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Looking for an interesting Mathematical problem "family"

And what do I mean by that. All right, I think this was the most fitting category, I hope I'm not too off-topic.

So I want to write a puzzle game, but, as everyone who loses his time playing puzzle flash games (like me), knows that you cannot be original enough. What I'm looking for:
1. A mathematical problem that can be randomly generated. So that's why I want a "problem family".
2. It should not be directly related to math-I do not want equations, formulas, etc. I want something that can be given to someone with graphics- a table, a grid, anything you fancy.
3. Must be solvable without using math. They can, and since they are behind the whole thing, will help getting to the solution, but the "trial and error" or "think very hard about it" ways MUST be possible.
4. I must be able to predict if the generated problem can be solved. A simple way of doing that, something that can be transferred to a program easily, is preffered, but not a must.
5. Things that have been going around for decades, things from scientific papers, models, anything, suit me. Not being popular, or already used for the same purpose is also preffered.

I remember playing a game based on a "problem". There was a grid with boxes, and each colored box was supposed to be a person. Based on certain condition, after each "round", persons either held "offsprings" (new persons next to them), did nothing (...just stayed there), or "died" (dissapear). The game gave you a challenge, for example, have 20 at least persons after so many rounds, and you were allowed to place some (limited) boxes on your own, were you saw fit. After some point it got harder and harder (I can't remember beating it, lol). I read it was based on some experiment, paper, or something like that, but saddly I can't remember what it was exactly. BTW, if anyone knows what the theory behind it is , let me know, I've been looking for that game :D
I think those are good for now.
This is going to be a self project, made for fun. If the idea comes from a paper, I will give credit, if it comes from a member here, I will give credit. The goal is not to make a sellable product, just have some programming fun.

Come on people, show me what you got! :D
 
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That game you're talking about sounds almost like Conway's Game of Life (wiki "[URL ),[/URL] but Conway's game doesn't involve placing limited amounts of boxes yourself, I believe.
 
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Char. Limit said:
That game you're talking about sounds almost like Conway's Game of Life (wiki "[URL ),[/URL] but Conway's game doesn't involve placing limited amounts of boxes yourself, I believe.

yes that's it!
The game I mentioned was based on Conway's, adding the challenge of puting your own boxed, in order to fulfill the target. After all that's the point of any game, reach a certain goal with personal effort.
 
Last edited by a moderator:


LCKurtz said:
If you want a two person game, what about Nim?

http://en.wikipedia.org/wiki/Nim

sounds like a good idea. Although, i'd prefer something that leans more to a single player gameplay. This does stay on the idea pool, implementing a computer player will be fun:)
 

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