Over the years I've tried in my creations to utilize objects folks might have at home, like playing cards, poker chips, and dominoes. One of the reasons for this is availability, but the corollary of that is if they are common things people will be pretty familiar and comfortable with them in mini-games or in-game puzzles.
Just yesterday I thought of a familiar pattern I've never seen any one use-- the pattern on a football (soccer ball). The pattern, called a truncated icosahedron, has 12 black pentagonal faces and 20 white hexagonal ones.
I think there is a lot of potential here, though for what I'm not sure yet. We humans have pretty good spacial memories, so if you have a "top" firmly marked it would be pretty easy to remember all the 32 different spots you might interact with, even without numbering or labeling them.
At first I was going to make an angel based on this, using a d4 and a d8 to randomly generate one of the 32 spots. But the more I thought about it, the more I realized there is a quite a bit more potential. For example, each of the hexagons shares sides with three different pentagons. What if these pentagons had certain qualities, heat, light, or whatever and the different hexagons might be the varying combinations of those qualities. I'm thinking weather, or maybe beauty, something with lots of possibilities to fill the 12 black spots.
The more I think about it the more I like it as a possible very simple weather manipulator. And seeing as the Sleestak pylons are one of the weird influences that led to my angels, that would be pretty cool.
I would have preferred to figure an example all out before posting, but I'm anxious to make, share, and converse-- my blog has been quiet too long. If you can come up with a cool use that has 12 qualities interacting, let me know.