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From a right-handed mini-wave, the two dancers turn toward each other, to the right, turning around halfway (180 degrees), to end facing each other.
This is analogous to a Wheel and Deal from a right-handed two-faced line, where the two couples turn toward each other while turning around halfway, to end as facing couples.
From a left-handed mini-wave, the action is the same but in the opposite direction, just as with a Wheel and Deal from a left-handed two-faced line.
If the two dancers start facing in the same direction, as a couple, then the belle (the dancer on the right) goes in front, the same way that in a Wheel and Deal from a one-faced line the couple on the right goes in front.
Note that in all cases the dancers start by turning toward each other and in call cases they turn around halfway, to face the opposite wall.
The result of a Single Wheel is the same as the result of doing a Hinge and Roll. Some people prefer to think about it this way. But Single Wheel is done as one smooth motion (like Wheel and Deal), and is not considered to have parts.