I'm guessing, based on winding home-made motors as a kid, and some time making motors work in industry, but without any real experience rewinding motors:
Dunno where your "segments" comes from, but if you take a felt pen and mark "A B C A B C" on the poles, all the way around your armature, then you should put four turns of winding "A" around each of the four "A" poles, four turns of winding "B" around each of the four "B" poles, and so on.
When you're done, hook the motor up to a voltmeter and give it a spin -- it should read some AC voltage. It should also spin down about the same with windings as it did without -- if it feels like it's filled with molasses when you spin it, you probably shorted a winding or did something else wrong. To get an idea of what I mean, short the wires on a spare motor and give it a twirl.
Actually capturing how it was originally wound would have been best, but I understand how sometimes that doesn't work out.