[corethree]

Basically it formed a fuzzy idea of a algebra using different fractals as entities.

I'm sure this can be mapped out further into very concrete detail. It's a highly realistic idea. we have algebras for all kinds of things from complex numbers to lists.

Choosing the triangle for identity is probably the wrong choice though. The identity fractal should be zero dimensional or nothing. I think that will in actuality end up fitting the rules of the identity fractal if we ever decided to map out this algebra.

If you're not familiar with abstract algebra basically it's choosing some fractal that's equivalent to a zero value and coming up with ways to combine fractals with operations that hold the same properties of associativity and commutativity that multiplication/addition does for numbers.