Hi, I was just wondering if an extension of hypercomplex numbers like this have any use or if it would be pointless: The number g is defined by ##g^2=i##. Then, the powers of g from 0 to 8 (where the cycle restarts) would be 1, g, i, ig, -1, -g, -i, -ig, 1. There's a lot of interesting things I found that you can do with this. I was surprised, however, that I couldn't find a hypercomplex system like this that was established, making me wonder if this system is pointless; it does seem like something someone would come up with easily. Any thoughts?