>>11899227As far as I know of it, you can have whole number
dimensions above zero and you can have
dimensions in between whole numbers like that of
fractals and the idea of Hausdorff dimension.
So, to even have the idea of the i-th dimension
(or sqrt(-1) dimension) requires thinking about
how a negative number dimension works, let
alone the i-th dimension.
Since complex numbers are two dimensional
(two real numbers with an i), maybe it's that
the sphere is, say, 2D in one way and 3D in
another thus (2+3i)D, right? And how would
the radius (or radii?) work like this? And how
much of a bitch would it be to draw it?
Perhaps by asking that, the concept of the
sphere would surely fail to exist and it will
always be a locus of points in n-th dimensions
a radius distance apart. Or, it could be the start
of something weird and new like OP's pic.