Note that Raking Stretcher bond has a “handedness”, either it shifts to the right as one moves down one course, or it shifts to the left as one moves down.
The most common offsets in Raking Stretcher bond are one fourth and one third of the length of the stretcher (S4 and S3).
The symmetries are the same whatever the offset (see fig. 5).
They are four rotations of 180 degrees, one at the centre of each brick and three at the midpoints of the edges.
As any one of the four is the composition of the other three, only three need to be marked to completely define the set of transformations.
This pattern provides an interesting basis for a classroom investigation of the composition of rotations.
Composing any two rotations produces one of the translations in the pattern and composing three rotations produces a fourth.