So, I was thinking about quaternions and stuff, and this idea came to my mind:

Let 1/0 = f. 0/0 = 0f is not equal to 1.

f^(-1)=0.

(a/b) * f is not a/0=a*f (at least for now)

So, now I am searching if it can make a group with certain operations, trying to not break associativity and other rules; its a very vague idea, I dont know how it can relate to Geometry and other things...

>þ = a + c*f

https://www.youtube.com/watch?v=d4EgbgTm0Bg