I wasn't trying to change notation with "*", just trying to convey a clearer meaning, and for that reason, I will refrain from using it..
The first thing I thought of when I saw your turn restrictions was Dan Brown's stupid notation. Then I realized you might have meant the Kleene star, or something else altogether. And it was rather ambiguous.
Anyhow, <R, r, U, u, F, f> is enough because they enable moves like r' (=r3), and we're counting in a metric that considers this