Step 1:

Opposite vertices of a rectangular box are ,

Rectangular box with all edges are parallel to coordinate axis. So the two end points of each edge must have two coordinates the same, and the third coordinate different.

Coordinates for three vertices using pairs from .

Changing the first  one -

Changing middle one -

Changing the last one -

Coordinate for three vertices using pairs from .

Changing the first  one -

Changing middle one -

Changing the last one -

Solution:

Remaining six vertices are , , , , , .