Math IA about multiple dimensions

[Le Chair]

Hi, 

I want to do my Internal Assessment using more dimensions than 3. However, I don't know exactly what I could/should do. I saw someone solving the "Wolf, goat, cabbage" problem using 3d geometry, and wanted to try to solve the "River crossing puzzle" using the same idea. I believe it would require 6 dimensions, and I would use matrixes to represent it. 

My teacher said she couldn't predict if it would turn out good or not. I don't know if it's too simple or too complicated. I still really like this topic, and if this is not possible, I would probably do something with a hypercube or something, but I'm not sure yet.

Does this sound like a good idea?

Thank you.

[kw0573]

Ultimately, the problem may be doable if you can solve the original wgc problem using matrices. If you cannot even solve the 3d version using matrices then there's no point solving a 6d problem. The only other attempt I would try is to turn the 6d problem into a 3d or a 2d problem. This StackOverflow post illustrates some of the 2D ways and matrix method to solve the wgc problem. Personally I thought the matrix solution was way too convoluted and rather require some great familiarity with matrices (that I do not possess despite taking 1.5 university courses on linear algebra). Also consider solving the same problem multiple ways and compare the different approaches.

IAs that "solve a problem" usually score better than ones that just "explore a concept", because the former has better focus. 

[Le Chair]

18 hours ago, kw0573 said:

Ultimately, the problem may be doable if you can solve the original wgc problem using matrices. If you cannot even solve the 3d version using matrices then there's no point solving a 6d problem. The only other attempt I would try is to turn the 6d problem into a 3d or a 2d problem. This StackOverflow post illustrates some of the 2D ways and matrix method to solve the wgc problem. Personally I thought the matrix solution was way too convoluted and rather require some great familiarity with matrices (that I do not possess despite taking 1.5 university courses on linear algebra). Also consider solving the same problem multiple ways and compare the different approaches.

IAs that "solve a problem" usually score better than ones that just "explore a concept", because the former has better focus. 

Thank you! I`ll keep this in mind do my more research!