[sidpatil]

I'm not sure what you mean by "multi-dimensional" states. Is it something that statecharts [1] can help with?

[1] https://statecharts.dev/

[RossBencina]

UML Statecharts are Harel Statecharts, which are hierarchical state machines. Described here:

Statecharts - A visual formalism for complex systems. David Harel. 1987

https://archive.org/details/7.-statecharts

Looks like you can also freely download the paper from here: https://www.sciencedirect.com/science/article/pii/0167642387...

[barrkel]

The cross product of multiple state machines, I expect. If you try and use a single state diagram to encode the product of states, everything multiplies.

[michaelsbradley]

That’s where statecharts can help.