With the same number of magnets and coils, you still have a single phase stator.
consider wiring every other coil backwards.... (Inside-outside)-(outside-inside)-(inside-outside)
or winding every other coil in the opposite direction....
that way you can connect your "North" and "South" coils together without any problem.
Somebody else will have to calculate whether it is a good idea to wire all 32 coils in series.
As I understand it, the "cogging" is less if you wire in 3 phase rather than in single phase.
I think I've also seen where people have effectively overlapped coils for 3 phase... For example, rather than using 32 coils and 32 magnets, using 96 coils with the 32 magnets. Of course, you may loose some proximity to the magnets if one isn't careful.
Not sure what you would get by squishing the coils and doing 64 coils side by side, but it might be an interesting experiment (which you could, of course, simulate with 2 or 4 coils on your test machine). I think in that case, you would have to rectify each phase separately as you would technically have 2 independent phases.
