No - they are completely independent. You may only stay more than 24 hours in two places in the region of origin. I don't know any way of explaining that more simply I'm afraid. You may have 4 segments in your region of origin.

For example, my current AONE3 goes:
MNL-xHKG-JFK......LHR-HKG-NRT-xHKG-MNL
where x indicates a transit (stay of less than 24 hours - in fact the first one in HK was overnight). I have two stopovers in Asia (region of origin): the second HKG and the NRT. I have 4 segments: MNL-HKG, HKG-NRT, NRT-HKG, HKG-MNL.