a base is essentially just: sum(a*b^n)
so if b = i-1, then the powers of the base are
(i-1)^0 = 1
(i-1)^1 = -1+i
(i-1)^2 = -2i
(i-1)^3 = 2+2i
(i-1)^4 = -4
(i-1)^5 = 4-4i
(i-1)^6 = 8i
(i-1)^7 = -8-8i
(i-1)^8 = 16
...
and in the case of (i-1) it happens to fill the entire complex plane