I am assuming that you are asking of how to the stepper motor works. If my assumpsions are wrong please forgive. Here are some links for types of stepper motors.
If you look at the two examples of "Half stepping" in the "How Stepper Motors Work" link, either for one-coil or two-coil excitation, through the steps the number of poles that are being excited is are not constant. It changes in a pattern like "1, 2, 1, 2".
But for the motor I encountered, the datasheet requires at all four steps driving two poles, although with direction change. I was not able to figure out its internal structure.
Is there any one help able to dissect it by analyzing?
It's a simple full step pulse scheme, which can be driven either to one (called "wave drive" in your scheme) or two coils ("normal" full step). Driving both coils results in slightly lower copper losses due to a higher duty cycle. If you sketch the flux vector, it's still rotated by 90 degree (electrical) steps.