Game systems, group assignment

We received a group assignment to create a game system and write a report on it. This system was then to be handed on to another group for analysis.

In our group we went with the idea that each of us should come up with one or more ideas for systems each. I went for one.

So, I don't have the slightest idea what to have in mind when designing a system, where the idea is that you could apply any kind of rules. Anyway, I just started doing something, and tried to build on top of that.

So the first thing I did was drawing a few squares that would be available in different colors and added some geometrical shapes. 

Not a lot of thought put into these pieces other than that there is one color that would differentiate itself from the others, something like the black piece in the Looney Pyramids. The pyramids have five different colors though, and I can see why that is a smarter thing to do.

Anyhow...
I added a few smaller token objects that (my first thought) would have a direct relationship with the bigger pieces. The relationship was that they would have the same geometric figure as presented on the bigger pieces. The new tokens came in 3 different colors; gold, silver, bronze-ish (my second thought) and came in various amounts as well (my third thought), that could embrace some form of value and competition in overcoming the pieces.

There are only half the amount of circle-tokens as there are circles on the bigger pieces. And they had the most amount of gold pieces.

The square tokens are an equal amount of the number represented on the bigger pieces, but they are all silver.

And the triangles; at first they had only the double amount that was represented on the bigger pieces, but then for some reason I thought that it would be a better idea if the amount was more than double.

Stripes could also be used, examples on the right.

So this was my version of system.

The one that was handed in for analysis was similar. Well it contained all those pieces except the stripes, but instead of having different amount of tokens, there was an "unlimited" amount of all of them. And we also included a bunch of clay figures and a paper wheel (pictures below). All pieces had a lot more colors at the end.